From the study bench of
Marvin Ray Burns
(317) 371-6571
Last update 3/29/2008 6:55= :31 PM
=
This is
the 2nd link.
=
Intro to
MRB was started at
http://=
www.mapleprimes.com/blog/marvinrayburns/mrbconstant
(Key decimal expansions begin on page 82.)
![3D"Q&A"](3D"QA-1_files/image001.gif")
<=
![endif]>
Q.
What is the MRB Constant and who ca= res?
A.
Late in 1998, a constructi= on worker named Marvin Ray Burns had a dream
that the all of the intege= rs wanted to get together and make themselves bigger.
They lined themselves toge= ther but the more integers that joined the stack -
the flatter the stack beca= me. Mr. Burns asked one of them,
"Why were you so unsu=
ccessful
at
"We are all roots.&qu= ot;
Marvin Ray Burns woke up, = started playing with his calculator, and a few months later named the MRB Constant.=
Simply put:
First consider 1.
Second consider the square= root of two.
Third consider the cube ro= ot of three.
Now we also want the fourt= h root of four, fifth root of five, and so on.
Now after we get all of th= ese we want to add them as an alternating series.
1^(1/1)-2^(1/2)+3^(1/3)- 4^(1/4)+5^(1/5)...
The sequences of partial s= ums have two limit points, which vary by one, since lim(= n^(1/n)) =3D 1 as n approaches infinity. Therefore, it
suffices us, in the crunch= ing out of digits of the MRB Constant, to focus on the sequence that ends in an even number being taken to its own root.
Straight forward crunching= out of digits of the MRB Constant is a great stress test for computers.
approx. 0.187859642462067120248517934054.
Nonetheless, here is a neat approximation!
4124*Pi/68966 =3D 0.1878596424818650830180080229.
Below we will see many such approximations.
Q.
What did Mr. Burns do on h= is calculator, in the process of defining the MRB Constant?
A.
Take the grand tour by goi= ng to the following URL:
![3D"Text](3D"QA-1_files/image002.gif")
Something unique was born = in Mr. Burns' imagination; he could not get rid of the idea
that the integers were try= ing to tell him something.
Daily he plays with intege= rs; he expects to find some new universal laws concerning them.
Q.
What practical application= could there be for the MRB?
A.
The partial sums of the se= ries (-1)^n*n^(1/n) can be used as signposts, of infinite precision and represent infinite dimension.
They can represent irratio= nal values of probabilities in a crucial range, approximately 0.19, 0.29, the transition from the second to the first quartile.
When computing the partial= sums of the MRB, we start with the value of 1-sqrt(2)/2 =3D 0.29289… or appro= x. 29%.
After an infinite number o= f terms, we end up at the value of the MRB=3D 0.1878… or approx. 19%.
Both series’ can be = used in this manor. The percentages are the same for an odd number of terms as they= are for an even number of terms.
However useful, we can rep= resent probability values with this alternating series.
Actually, the MRB Constant= is produced through stacking the sides of progressively larger n-dimensional c= ubes or hypercubes (here called cubes).
Cube one is of one dimensi= on with length of one unit in size.
On the right side of cube = one we place cube two taking up the right most points of cube one and thus linearl= y extends to the left of cube one by a specific value, i.e. 1-2^(1/2). Cube two is of= two dimensions and is of two units in size. On the top left of cube two we place cube three.
Cube three is of three dim= ensions and is of three units in size.
Linearly cube three extend= s to the right of cube one by a specific value, i.e. 1-2^(1/2)+3^(1/3).
![](3D"QA-1_files/image003.gif"=)
![](3D"QA-1_files/image004.gif")
Continue staking the cubes= in this manor. The specific value, i.e. MRB Constant represents the position of the infinite or last possible cube.
Linearly, we have the foll= owing graph of the stacking that looks like a ladder with smaller and smaller run= gs, as it goes up. It only goes up for the sake of viewing; actually, it is lin= ear and has no height. The base rung of the stack has length, 2^(1/2). The top = rung has length 1. Since we started the stacking on the left side, the left side= of the top rung represents the value, the MRB Constant.
Q.
What approximations involv= ing the MRB Constant are known to exist?
A.
Glossary:
(~) Means, "approxima= tely equal to."
(^) Means, "raised to= the power of." 2^3 Would mean 2*2*2.
(_) Is a space holder and = has no other meaning.
integral(f(x),x=3D a .. b)= Means, "the area under the Univariant graph of f = from x=3Da to x=3Db "
c^[n]d Means "raised = to the power of n times." (This is called a power tower.) 2^[5]3 Would mean 2^(3^(3^(3^(3^(3))))).
Ex Means, "*10^x"= ;
Log[y](x) means Log base y= of x.
[f digits] Means, "f = digits are omitted from the list."
Let m be the MRB constant = =3D limit(sum((-1)^x*x^(1/x),x=3D1..2*n),n=3Dinfinity)
~0.18785964246206712024851793405427= 32300559030949001387861720046840894772315646...
List:
The following list of 1067 approximations brings a great deal of order to the alternating sum of integ= ers, to rational powers, that is the MRB Constant:
I. &n=
bsp; =
;
(10317/10000-m)*=
Pi*20656~
54759.1111111117917
II. (27747/10000-m)*Pi*22509~182926.111=
111111448
III. (77/5000-m)*Pi*57396~-31097.0348971111111=
114233
IV. (20003/10000-m)*Pi*54587~ 310815.61111111=
11774
V. (1541/2500-m)*Pi*29079~39149.035571=
11111111586
VI. (10317/10000-m)*Pi*3227.5~8556.1111111112=
17458495849
VII. &=
nbsp; (11001/5000-m)*Pi*668.64~4227.11111111157839106849=
VIII. &=
nbsp; (6637/10000-m)*Pi*30013~44866.33080111111111581811
IX. (1387/2500-m)*Pi*60178~
69371.82222222224994188159
X. (5931/2000-m)*Pi*61453~536252.06222=
22222235033972793939
XI. (137/1250-m)*Pi*-67517~16599.724072222222=
225431660362098544866664
XII. &=
nbsp; (1387/2500-m)*Pi*30089~
34685.91111111112497094
XIII. &=
nbsp; (3067/2500-m)*Pi*21786~
71107.92222222225589747
XIV. &=
nbsp; (7621/10000-m)*Pi*55524~ 100166.92222222227591834
XV. &=
nbsp; (2451/10000-m)*Pi*5990800~1077300.9222222222657316=
4
XVI. &=
nbsp; (5679/2500-m)*Pi*292.72~
1916.2222222225292227429656
XVII. =
(1049/10000-m)*Pi*-3185.5~30.2222222225536275
XVIII. (3887/2500-m)*Pi*529.07~
2272.0222222222078855545
XIX. &=
nbsp; (10317/10000-m)*Pi*645.5~1711.222222222243491699
XX. &=
nbsp; (41/40-m)*Pi*53620~141018.133333333365549126204
XXI. &=
nbsp; (1591/10000-m)*Pi*-53245~4810.7433333333356470215
XXII. =
(929/5000-m)*Pi*-24664~159.589833333333326538631592
XXIII. (28631/10000-m)*Pi*65054~
546747.3483333333330642325
XXIV. (28599/10000-m)*Pi*651.3~5467.3133333333369845177
XXV. =
(11541/5000-m)*Pi*31793~211780.98423333333333783161
XXVI. (16687/10000-m)*Pi*34310~159616.8855333333333019
XXVII. (3977=
/2500-m)*Pi*514930~2269537.0444444444313996143767
XXVIII. (29633/10000-m)*P=
i*51685E4~4506571775.04444444440
XXIX. (13371/5000-m)*Pi*56131~438443.091674444444441129688
XXX. =
(28599/10000-m)*Pi*54275~455609.4444444447487098
XXXI. (407/5000-m)*Pi*-61927~20711.66044444444485108863049
XXXII. (907/=
2000-m)*Pi*22395~18689.384355555555508883688082
XXXIII. (20413/1000=
0-m)*Pi*53741~312920.655555555548997716
XXXIV. (3061/5000-m)*Pi*=
52816~70409.24990555555555174219889
XXXV. (6669=
/2500-m)*Pi*59761~465558.1555555555719604270334
XXXVI. (21951/10000-m)*P=
i*55178~347948.69168555555555
XXXVII. (5809/2000-m)*Pi*554.28=
~ 4730.545555555555
XXXVIII. (2343/2500-m)*Pi*55238/9~
14448.5555555551188242448
XXXIX. (19817/1000=
0-m)*Pi*66834~376644.05555555551354772180893999
XL. &=
nbsp; (41/40-m)*Pi*26.81~70.5090666666666827745631024262=
0033
XLI. &=
nbsp; (41/40-m)*Pi*26.81*2500~176272.66666666670693640775
XLII. =
(28599/10000-m)*Pi*325.65~2733.65666666666849225885499
XLIII. (11541/5000-m)*Pi*63586~423561.9684666666666756632203311
XLIV. (28599/10000-m)*Pi*21710~
182243.777777777899
XLV. =
(5809/2000-m)*Pi*277.14~2365.272777777777364
XLVI. (3383/1250-m)*Pi*50824~402131.07002777777777
XLVII. (1100=
1/5000-m)*Pi*167.16~1056.77777777789
XLVIII. (7383/2500-m)*Pi*=
634360~5511048.7777777777
XLIX. (7383/2500-m)*Pi*634360*0.5~2755524.388888888838
L. (27609/10000-m)*Pi*62914~508561.838=
8888888839
LI. (13791/5000-m)*Pi*55828/9~50089.888888888=
619398008
LII. &= nbsp; (9277/10000-m)*Pi*7000.81~16271.82188888888864668<= o:p>
LIII. &=
nbsp; (88813/50000-m)*Pi*70046~349537.027511173188888888828
LIV. &=
nbsp; (37717/25000-m)*Pi*70.1025~290.88888888873
LV. &= nbsp; (23383/25000-m)*Pi*70165~164762.57340108888888888<= o:p>
LVI. &=
nbsp; (39519/25000-m)*Pi*702342~3073396.288888888882
LVII. =
(87547/50000-m)*Pi*703224~3453224.888888888
LVIII. (5797/5000-m)*Pi*703564~
2147406.81888888888
LIX. &=
nbsp; (3147/2000-m)*Pi*7053.54~
30704.8888888887
LX. &=
nbsp; (46613/25000-m)*Pi*70.6022~371.8888888880
LXI. &=
nbsp; (86201/50000-m)*Pi*706628~3410179.728126807888888888
LXII. =
(20851/12500-m)*Pi*7.07250~32.88888888811
LXIII. (12499/10000-m)*Pi*707288~2359865.12831262888888888689 LXIV. (21687/12500-m)*Pi*707410~3438266.6433865888888888 LXV. =
(6483/6250-m)*Pi*.707838~1.888888888 LXVI. (50673/50000-m)*Pi*708829~1838489.7900888888888785 LXVII. (5477=
7/50000-m)*Pi*.31172~0.8888888888872114749998 LXVIII. (99613/50000-m)*P=
i*1178~6677.717888888888223875628635565 LXIX. (73623/50000-m)*Pi*12465~50304.8888888884966506526505665 LXX. =
(10317/10000-m)*Pi*2582~6844.8888888889739667966792454 LXXI. (73939/50000-m)*Pi*6506~26385.38170093907888888888051 LXXII. (3644=
7/25000-m)*Pi*703406~2806510.191450719888888888[28digits]5000005500 LXXIII. (2^5/5^3-m)=
*Pi*4.143~
0.8868888888881510150214198 LXXIV. (991/1250-m)/Pi*1=
0428~ 2007.99999999912759129 LXXV. (3127=
/5000-m)*Pi*2198.5~3021.9999999991518540101 LXXVI. (11499/5000-m)*Pi=
*64.654~428.969999999990034987157191279 LXXVII. (1011/500-m)*Pi*25223/2=
~72668.999999999234089 LXXVIII. (3127/5000-m)*Pi*4397/20~
302.199999999915185 LXXIXb . log[m](exp(-m))-4466/39750
~0.000000000519991982697690183242 LXXX. (2711=
7/10000-m)*Pi*26405000~
209362032.199999999991 LXXXI. (16687/1000=
0-m)*Pi*1029~47885.0656599999999905768 LXXXII. (69517/50000-m)*Pi*7004=
11~2645945.056249999999998089072039 LXXXIII. (9569/5000-m)*Pi*700435~
3797899.7411159999999997055115 LXXXIV. (48827/25000-m)*Pi*1161.1~643=
8.99999999957818667 LXXXV. (19349/12500-m)*Pi*.702=
123~2.9999999995734786345744785 LXXXVI. (4638/3125-m)*Pi*702591~28612=
65.0879999999998315604891 LXXXVII. (16687/10000-m)*Pi*10293~47885.0656=
599999999905768 LXXXVIII. &=
nbsp; (3238/3125-m)*Pi*6866~18297.987299999999933137905<=
o:p> LXXXIX. (963/625-m)*Pi*705818E7~ 29999999959955. XC. &=
nbsp; (38471/25000-m)*Pi*706842E7~29999999978997. XCI. &=
nbsp; (4191/10000-m)*Pi*66353/10~4820.29999999911992 XCII. =
(8727/12500-m)*Pi*8281~13275.7336299999999943696339333 XCIII. (21209/25000-m)*Pi*8349~17324.3676192329899999999927873 XCIV. (1.09=
554-m)*Pi*.70137~
1.99999999999 XCV. =
(1.54792-m)*Pi*.702123~2.999999999 XCVI. (1.98=
356-m)*Pi*.709049~3.99999999 XCVII. (10317/1000=
0-m)*Pi*23238~61604.00000000076570117 XCVIII. (591/10000-m)*Pi*=
-27448~
11103.000000000598443547485094 XCIX. (6791/10000-m)*Pi*3598000~ 5552711.00000000005592=
2 C. (2579/5000-m)*Pi*5671E7~ 58425762074.0000000000636 CI. (749/1000-m)*Pi*8189~14436.17866529253000=
000000013055 CII.&=
nbsp; &nbs=
p;
(1167/10000-m)*P=
i*-534E27~119378161735144002723378303931.00000000005023871 CIII. &=
nbsp; 119378161735144002723378303931.00000000005023871 CIV. &=
nbsp; (10317/10000-m)*Pi*580.95~1540.100000000019142529252 CV. &=
nbsp; (1291/500-m)*Pi*665.46~5005.20000000026 CVI. &=
nbsp; (1291/500-m)*Pi*554.55~ 4171.00000000021924384125389=
8 CVII. =
(1291/500-m)*Pi*554.55*4~16684.00000000087697 CVIII. (2579=
/5000-m)*Pi*28355000000~29212881037.0000000000318223 CIX. &=
nbsp; 10^10*(m
+m^(1/2))^50~ 0.4619 CX. &=
nbsp; m^[33]m =
~ 0.4619 CXI. &=
nbsp; m
- 1/7*integral(x^(1/x),x=3D 6.995 .. 8.0004778) ~ 6.79548E-10 CXII. =
sqrt(21*(m-12500000/1290365940577206941)^5+28*Pi+7)~ =
9.7452299999999999999999999999999999 CXIII. sqrt(1+5*Pi+10*(m+sin(125=
/37584486))^15)~4.087537555555555555555559 CXIV. sqrt((9*2+1)*m^(9*2)+9^2)~ 9.0000000000000[42 digits]7777797<=
o:p> CXV. =
sqrt(81*m+10*Pi+11)~ 7.5916110000002877600[=
346
digits]0000006 CXVI. sqrt(97*m^2+24*Pi+2)~ 8.99007644444443419033336334=
23[946
digits]44433 CXVII. sqrt(101*m^12+11*Pi+12)~6.823307070960340277777777[12=
89
digits]777779 CXVIII. sqrt(91*m^4+7*Pi+8)~ 5.486755555557315[1517
digits]55555425 CXIX. sqrt(78*m^5+24*Pi+4)~
8.9115920941302_123456=
78 CXX. =
sqrt(54*m^9+25*Pi+2)~
8.974398702741878899071864371_87654321 Let
C~coth(3.1414*137/42) CXXI. (m^150/15^23)^2 E272~ 1.12162974149 CXXII. (C*2002/133=
47)^23
E19~ 1.12162974149 Let
A~0.11111111139059918350072154839136986358808740782084874... CXXIII. (2002/1483*A)^23 =
E19~ 1.12162974148695338845194143614921855667756257588=
88 CXXIV. (m^150/15^23)^2 E=
272~ 1.12162974148695338845194143614921855667756257588=
88 CXXV. 1499/7047*m=
^(817/31)
~ 1.548089809999999999209209 E-20 CXXVI. 18*m^(817/31) ~
1.310000000261907937956579 E-18 CXXVII. 1056/3901 *m^(183/68)~
0.3007777777777314395065501985 CXXVIII. 9 *m^(183/68)~
0.1000000662878633817200328686 CXXIX. (34/3) E129 *m^178~
6.262087610450000000142446878298305091177204938399999 CXXX. (17/50)
E130*m^178~1.8786262831350000000427340634894915273531614815199999 CXXXI. 136/2289 *m^178 ~
3.2828768600000000000746772
E-131 CXXXII. 884/(189*109) *m^178 ~ 2.37096662111111111116=
504468
E-131 CXXXIII. 782/(105*109) *m^178 ~
3.7753083890000000000858788
E-131 CXXXIV. 68/(63*109) *m^178 ~ 5.47146143333333333345=
77954 E-132 CXXXV. 68/(21*109) *m^178 ~ 1.64143843000000000003=
733863
E-131 CXXXVI. 68/(7 *109) *m^178 ~ 4.92431529000000000011=
20158 E-131 CXXXVII. 68/(1 *109) *m^178 ~ 3.44702070300000000007=
84111 E-130 CXXXVIII. &=
nbsp; 884/(21
*109) *m^178 ~ 2.13386995900000000004=
85402 E-130 CXXXIX. 6800/6867 *m^178 ~ 5.47146143333333333345=
7795 E-130 CXL. =
544/763
*m^178
~
3.9394522320000000000896127
E-130 CXLI. 680/2289
*m^178
~
1.64143843000000000003733 E-130 CXLII. 15640/20601=
*m^178 ~ 4.19478709888888888898=
430984
E-130 CXLIII. 43E39 =
*m^(930/17) ~ CXLIV. 29 =
*m^(244/55) ~
0.017412426867700000002680807 CXLV. 33 =
*m^(7/39) ~ 24.4442300000005593143716657=
9 CXLVI. 87 =
*m^(300/23) ~
0.0000000293617667629999999466439786 CXLVII. .07*(4*m^3+59*m^2+138*m=
)-.629~ =
1.333333333333006036[1019 digits]686477777417 CXLVIII. .04*m^3+5.63*m^2+7.28*m-.5665731~
CXLIX. 85*m^3+580*m^2+79=
8*m~ =
170.944450000000584744821423
CL. &=
nbsp; 93*m^3+364*m^2+958*m~ =
193.4321222222222330557366
CLI. &=
nbsp; 54*m^3+330*m^2+941*m~ =
188.780043733333333310
CLII. =
12*m^3+177*m^2+414*m+15.9~ =
99.99999999999
CLIII. 71*m^3+187*m^2+500*m-1~ =
99.9999999
CLIV. 3*(4*=
m^3+59*m^2+138*m)~ =
84.09999999999
CLV. =
83*m^3+485*m^2+280*m+7.510550474831~
77.77777777777771111111111
CLVI. 10*m^=
3+394*m^2+279*m~ =
66.38388888888822223897571467
CLVII. 39*m^3+134*=
m^2+159*m~ =
34.8572722450999999999
CLVIII. .6*(4*m^3+59*m^2+=
138*m+.3)~ =
16.9999999999971945956
CLIX. 10*m^3+139*m^2+723*m~ =
140.7943025992222222220463012
CLX. =
13*m^3+195*m^2+859*m~ =
168.3394131111111112531981521
CLXI. 81*m^3+976*m^2+921*m+792~ =
999.999999945290
CLXII. 95*m^3+993*=
m^2+385*m-8~ =
99.9999999651918979
CLXIII. 10*m^3+789*m^2+42=
1*m-7~ =
99.99999999856215157258758960
CLXIV. 12*m^3+670*m^2+28=
2*m+1.07~ =
77.771111111119129159
CLXV. 31*m^3+636*=
m^2+147*m-16.93279~ =
33.33333325333333333866206
CLXVI. 31*m^3+728*m^2+98=
0*m+790~ =
999.99999998870500815065
CLXVII. 20*m^3+788*m^2+558*m+64=
5~ =
777.767777777776444477
CLXVIII. 20*m^3+295*m^2+690*m+526.5~ =
666.66666666664328829669780
CLXIX. 16*m^3+729*m^2+42=
0*m+339.71~ =
444.4444444444477868186118688
CLXX. 92*m^3+701*=
m^2+761*m-57.1991814~
111.1111111111111111887830831
CLXXI. 85*m^3+272*m^2+54=
2*m~ =
111.98267798779088888888873737
CLXXII. 45*m^3+745*m^2+444*m~
CLXXIII. 80*m^3+701*m^2+467*m-3~ =
110.0000000186508900879866858
CLXXIV. 32*m^3+224*m^2+259*m-6.77303996~
CLXXV. 67*m^3+226*m^2+165*m-.0=
0574797332686~ 39.4111111111111111111111195=
3
CLXXVI. 4*m^3+59*m^2+138*m+5.3~ =
33.333333333328[1326 digits]4604690808000
CLXXVII. .02*(1001*m^2+25*m+2.58375203781+83/m+8/m=
^2)~
14.222222222222240222222222
CLXXVIII. &=
nbsp; 1065*m^2+6*m-208.49544+99/m+7/m^2~ =
555.55555555888888888390109
CLXXIX. .042*m^2+.112*m+.7381+.029/m+=
.003/m^2~ =
1.0000000000086681088616
CLXXX. .0609*m^2+.098*m+.8864+=
.0063/m+.0021/m^2~ =
0.9999999999991521099
CLXXXI. .03/80*(28*m^2+127*m-163+55/m=
+5/m^2)~ =
0.111111111111148684099
CLXXXII. .27/80*(-163+5/m^2+55/m+127*m+28*m^2-41.6=
397974*m^16)~
0.999999999999999999999999
CLXXXIII. &=
nbsp; 113*m^2+253*m-6.4676551+5/m+1/m^2~
100.0000000001900000000564070
CLXXXIV. &=
nbsp; 137*m^2+148*m-45.4+24/m+3/m^2~ =
200.0000000000522
CLXXXV. 191*m^2+238*m+477+46/m+8/m^2~ =
1000.0000000146490190
CLXXXVI. &=
nbsp; 160*m^2+95*m+314+61/m+8/m^2~ =
888.88888885188208
CLXXXVII. &=
nbsp; 2*(705*m^2+28*m+54/m+4/m^2)~ =
861.8632044910000000052105089
CLXXXVIII. =
3*(819*m^2+45*m+12/m+7/m^2)+404.99/4~ 1000.000000000000422
CLXXXIX. &=
nbsp; 3*(819*m^2+45*m+12/m+7/m^2)~ =
898.7525000000004228495978576
CXC. 199*m^2+2*m+155.6174226+68/m+5/m^2~
666.666666666666666
CXCI. 175*m=
^2+82*m-82.5066051+63/m+6/m^2~
444.444444444444444645794
CXCII. 3/5*(921*m^=
2+41*m+87/m+7/m^2)~ =
421.0000000060305662204104732
CXCIII. 7*(920*m^2+3*m+77=
/m+7/m^2)~ =
4488.83034700000000811848
CXCIV. 7*(622*m^2+7*m+19/m+10/=
m^2)~ =
2854.333333336643129342817728
CXCV. 8*(819*m^2+=
45*m+12/m+7/m^2)~ =
2396.673333333334460932260954
CXCVI. 8*(805*m^2+4*m-312.5187=
5+74/m+1/m^2)~
1111.111111111507619155806615
CXCVII. 6/5*(819*m^2+45*m+.5+12/m+7/m=
^2)~
360.10100000000016913983914
CXCVIII. 2/3*(819*m^2+45*m-131.67/4+12/m+7/m=
^2)~ 177.777777777777871744355079=
5
CXCIX. 127*m^2+40*m+146+=
1/m+6/m^2~ =
333.333333363
CC. &=
nbsp; .003*(805*m^2+20*m-299/6+34/m+6/m^2)~
1.00000000007527022828441
CCI. &=
nbsp; .0018*(805*m^2+35*m-250.7926785+97/m+9/m^2)~1.0000000000000000=
0477249
CCII. .001*(m^2+81*m+240+92/m+9/m^2)~ =
1.00000000097744
CCIII. 4*(34=
*m^2+35*m+1836.25+70/m+10/m^2)~ 9999.99999999042=
022
CCIV. 4*(72=
*m^2+35*m+67/m+3/m^2)~ =
1803.08888888881913
CCV. 4/3*(83*m^2+29*m-542+63/m+7/m^2)~ =
0.111111112265225
CCVI. 141*m=
^2+75*m+740+8/m+7/m^2~ =
999.9999993001829
CCVII. 205/18/(m^2=
+(3.36951)^2)~ =
1.00000000030933
CCVIII. 82/(m^2+(3.36951)^2)~
CCIX. 42/(m=
^2+1.78759^2)~ =
&nb=
sp;
12.99999990908
CCX. 47/(m^2+(3.72409)^2)~ =
&nb=
sp;
3.3802887631111111188556966
CCXI. 28/(m=
^2+(6.0653)^2)~ =
&nb=
sp;
0.760391111111112891
CCXIIc.
b:=3D1.92:evalf(log[b](log[b]=
(log[b](log[b](log[b](4279))))))-m
~-0.000002866507074428479684637928
CCXIII. 2/(m^2+1.1329^2)~=
=
&nb=
sp;
1.5165834741111111167
CCXIV. 7/(m^2+6.0653^2)~ =
&nb=
sp;
0.19009777777777822287
CCXV. 10/81-4/(m^=
2+5.689^2)~ =
&nb=
sp;
0.00000004666
CCXVI. 1246705*m~
234205.555555671
CCXVII. 1320800 *m~
248125.0157638982524242424
CCXVIII. 1356070 *m~
254750.82535353535
CCXIX. 1381443 *m~
259517.38806172538879747336037373737374
CCXX. 1184094*m~<=
span
style=3D'mso-spacerun:yes'>
222443.4754814789046835485946060606060698
CCXXI. 1084856*m~
203800.6602828282878
CCXXII. 1200382*m~ 225503.33333
CCXXIII. 230611 *m~
43322.50000
CCXXIV. 1032449*m~
193955.500000
CCXXV. 241849 *m~
45433.666669808
CCXXVI. 958533 *m~
180069.66666809
CCXXVII. 1043687*m~
196066.66666
CCXXVIII. &=
nbsp; 147832
*m~
27771.6666644
CCXXIX. 179171 *m~
33658.999999
CCXXX. 135607 *m~
25475.082535353535
CCXXXI. 197349 *m~
37073.9125802464841139247657676767676783
CCXXXII. 61013142*m~
11461907.04160733082125390000000000
CCXXXIII. &=
nbsp; 3389619*m~ 636772.6134=
22629490069661111111111
CCXXXIV. &=
nbsp; 6779238*m~
1273545.2268452589801393222222222231
CCXXXV. 76178401*m~
2547090.45369051796027864444444444628715544
CCXXXVI. &=
nbsp; 33197349*m~
1223439.115148133975759517270333333333383
CCXXXVII. &=
nbsp; 381070406*m~
7641271.36107155388083593333333333
CCXXXVIII. =
18
* 1129873*m~
3820635.680535776940417966666666669
CCXXXIX. &=
nbsp; 19
* 1070406*m~
3820635.680535776940417966666666669430733
CCXL. 140341104*m=
~ 26364429.6201717777777=
77761
CCXLI. 89 * 1664161*m~
27823953.45087913120009055297517871195947249577777777776559
CCXLII. 107* 1300136*m~ 26134009.9999=
906444
CCXLIII. 67 * 1359733*m~ 17114409.99999955
CCXLIV. 87 * 1583623*m~ 25882399.999999
CCXLV. 11*7841421* m~ 16203951.99999999
CCXLVI. 12*11294261*m~ 25460829.99999922
CCXLVII. 13*10252851*m~ 25039259.9999990
CCXLVIII. &=
nbsp; 14
*1913731*m~ 5033179.500=
00003
CCXLIX. 15 *1474995*m~ 4156380.5000000503
CCL. 16
*1091101*m~ 3279581.500=
00006
CCLI. cos(Pi*m/10000.000594451891)*cos=
(21512)~
-0.05566666607719191919191
CCLII. cos(Pi*m/10000.6104957983545455)*cos(8275)~
0.99898989712727272727272727
CCLIII. sin(Pi*m/10001.27=
115472169711847)*cos(52174)~
0.0000000003250000000000000000000035
CCLIV. sin(Pi*4772/10000)*sin(=
m)~ =
0.186277740438725323=
6850333333333
CCLV. sin(Pi*m/10=
000)*cos(18172)~ =
&nb=
sp;
0.000030479999999779
CCLVI. sin(Pi*m/9999.999999927=
699)*cos(18172)~ =
0.000030480000000000000
CCLVII. sin(Pi*m/10000)*cos(5003)~ =
=
-0.00000080846954133969184550692027084747474745647
CCLVIII. 6111852/75242941*m*Pi~ =
&nb=
sp;
0.047939161210000000000
CCLIX. 47405/77622=
47583685774069812239.84853766355085^m~1.00000000000000000000000000000000000=
00000000008
CCLX. 364/2148249=
6405*m*Pi~ =
&nb=
sp;
0.000000010000000000000001
CCLXI. 1-sin(8.360789389=
64067429831655*m)~ =
0.0000000100000000000000000000000099
CCLXII. (8873+1/3)/(15034.99999460762=
34671*Pi)/m~
1.0000000000000000000000
CCLXIII. (111827*19E-13)+log(m)/(.83603)~
CCLXIV. 7574/(Pi^2*4085)-
(.00742315089884191)/(5564446)-m~-.0000000000000000000000003464
CCLXV. 1021/10409129187630272^m-1~
CCLXVI. 24595790287828196^m /1200~ =
1.0000000000000000000011
CCLXVII. 154135792244678780^m /1694~
1.0000000000000000000001
CCLXVIII. &=
nbsp; 55665796142344335291280^m/18749~
1.0000000000000000000000000001
CCLXIX. 2469341584186621794764147^m/38228~<= span style=3D'mso-spacerun:yes'> 1.0000000000000000000000000000002<= o:p>
CCLXX. 26620/(15034.9999946076234671=
*Pi)/m~3.00000000000000000000009754
CCLXXI. (30070000000*m)/(17746666673)*Pi~
CCLXXII. 83/(79+(3/4))*m^(315/1629031)~ 1.04041590902203=
68100000000022
CCLXXIII. &=
nbsp; 7545737/1112*m^(1162/239)~
2.0000000
CCLXXIV. &=
nbsp; 765319/314*m^(342/17)~ =
6.0000001E-12
CCLXXV. 9134327/1208*m^(1251/293)~
6.00000001
CCLXXVI. &=
nbsp; 489001/1207*m^(1285/11)~ =
6.0000000001E-83
CCLXXVII. &=
nbsp; 8667721/917*m^(990/277)~ =
24.0000000
CCLXXVIII. =
8964887/903*m^(906/283)~ =
47.0000000
CCLXXIX. &=
nbsp; 11389051/1105*m^(1175/383)~ 61.0=
000000
CCLXXX. 11075777/1013*m^(1028/373)~ 109.000000=
06
CCLXXXI. &=
nbsp; 502/717*m^(758/6361829)~
=
0.7000000001
CCLXXXII. &=
nbsp; 6995399/516*m^(520/271)~
548.00000006369209505
CCLXXXIII. =
9939521/109*m^(127/397)~
53412.000000040
CCLXXXIV. =
3078871/121*m^(131/139)~
5263.00000007644
CCLXXXV. &=
nbsp; 2319194/101*m^(120/73)~
1470.00000007767707870505
CCLXXXVI. =
7691899/104*m^(173/311)~
29178.000000076541874350
CCLXXXVII. 229/121*m^(122/5520377)~ =
1.892492050000000058
CCLXXXVIII. 3832687/222=
*m^(241/167)~
1546.0000000294
CCLXXXIX. =
191/1316*m^(1339/6136237)~
0.145083832670000000000
CCXC. 117709/212*m^(223=
/41)~ =
0.062350000000094
CCXCI. 8606501/621*m^(646/337)=
~
562.0000000115910039771999
CCXCII. 9730199/615*m^(672/379)~
816.000000078882510988555
CCXCIII. 6020039/600*m^(677/239)~ =
88.0000000555608366
CCXCIV. 62/705*m^(749/3833)~ =
0.06343130000000000055266
CCXCV. 6977699/705*m^(760/271)~ =
91.00000009315226
CCXCVI. 5261783/718*m^(722/211)~ =
24.000000013190587
CCXCVII. &=
nbsp; 489361/803*m^(808/47)~ =
0.000000000200000003388
CCXCVIII. &=
nbsp; 9898081/418*m^(427/383)~
3671.000000025100
CCXCIX. 13011769/415*m^(415/499)~
7804.807458486649500000000303
CCC. 1161761/102*m^(162/29)~ =
1.000000606
CCCI. 36097=
3/209*m^(224/7)~ =
1.000000366 E-20
CCCII. 649843/729*m^(751=
/13)~ =
1.00000070730848 E-39
CCCIII. 772771/820*m^(889/17)~<=
span
style=3D'mso-spacerun:yes'> =
1.0000003077599 E-35
CCCIV. 624997/710*m^(733/13)~<=
span
style=3D'mso-spacerun:yes'> =
1.00000067671209 E-38
CCCV. 15823/119*m^(105/=
2)~ =
1.000000385693129 E-36
CCCVI. 1249/203*m^(217/2)~ =
1.000000511506061919 E-78
CCCVII. 504311/219*m^(213/11)~ =
2.000000550015 E-11
CCCVIII. 889921/506*m^(548/19)~ =
2.000000296 E-18
CCCIX. 39511/542*m^(574/19)~
CCCX. 97739/584*m^(600/=
19)~ =
2.00000069650 E-20
CCCXI. 487283/606*m^(673/11)~<=
span
style=3D'mso-spacerun:yes'> =
3.00000058850 E-42
CCCXII. 113759/808*m^(891/3)~ =
3.000000753845 E-214
CCCXIII. 549247/653*m^(643/11)~ =
3.000000521725 E-40
CCCXIV. 488651/707*m^(761/11)~ =
4.0000002035804 E-48
CCCXV. 907259/619*m^(661/19)~ =
8.00000017163829 E-23
CCCXVI. 5/514*m^(544/241861)~ =
0.009691111111114
CCCXVII. &=
nbsp; 4954277/721*m^(735/197)~ =
13.4197238677111111111787
CCCXVIII. &=
nbsp; 233/718*m^(782/5890813)~ =
0.324440512566596451111111112230
CCCXIX. 313/521*m^(517/8123747)~ =
0.60070382949111111111319
CCCXX. 8171897/551*m^(564/313)~
728.91948111111111489952918
CCCXXI. 185138/184799*m*Pi~ =
0.591261111111111
CCCXXII. &=
nbsp; (124233*m)^(1/579)~ =
1.01752283221861111111111
CCCXXIII. &=
nbsp; (34004*m)^(1/286)~ =
1.0311111111111
CCCXXIV. &=
nbsp; 1280/(6743-m)*Pi~ =
0.5963741111111111
CCCXXV. &=
nbsp; (3007*m)/15972*Pi~ =
0.1111111111
CCCXXVI. &=
nbsp; 128000/(6743-m)*Pi~ =
59.63741111111111
CCCXXVII. &=
nbsp; 25600/(6743-m)*Pi
~ =
11.927482222222222
CCCXXVIII. 5290/(7119-m)*Pi~ =
2.3345222222222211
CCCXXIX. &=
nbsp; 673553/677250*m~ =
0.1868341465622040532222222222
CCCXXX. &=
nbsp; 6045103/816*m^(874/239)~ =
16.37542222222224
CCCXXXI. &=
nbsp; 505867/815*m^(871/47)~ =
0.0000000000216582222222220
CCCXXXII. &=
nbsp; 369269/215*m^(230/7)~ =
2.372180222222222782 E-21
CCCXXXIII. =
367069/314*m^(329/7)~ =
8.669462222222221144495 E-32
CCCXXXIV. 1/5*m^(582/2044753)~ =
0.199904838629222222222532
CCCXXXV. &=
nbsp; 114809/509*m^(588/3)~ =
1.0583333333330641030 E-140
CCCXXXVI. 249521/321*m^(325/5)~ =
4.8952966385629933333333325 E-45
CCCXXXVII. 7/131=
*m^(127/389629)~ =
0.0534059997747433333333307
CCCXXXVIII. 3565097/419=
*m^(491/151)~ =
37.03513333333334315303
CCCXXXIX. =
89/417*m^(476/1770481)~ =
0.2133333333358
CCCXL. 38400/(6743-m)*Pi~ =
17.89122333333333373
CCCXLI. 51200/(6743-m)*Pi~ =
23.854964444444444
CCCXLII. &=
nbsp; sqrt(222272061*m/2001320676)~ 0.14444444=
4448
CCCXLIII. &=
nbsp; sqrt(224308911*m/2019660318)~ 0.14444444=
444704
CCCXLIV. &=
nbsp; sqrt(25047225369*m/2031760375830)~ 0.0481238444444444=
4
CCCXLV. &=
nbsp; (44734*m)^(1/176)~ =
1.052684266438332871435555555555
CCCXLVI. &=
nbsp; 18177174/2009045*m*Pi~ =
5.33973942280185555555555499
CCCXLVII. &=
nbsp; (2857*m/(5493+m))/5493~ =
0.0000177872857192016631264655555555559
CCCXLVIII. 523/702*m^(753/13655303)~ =
0.7449455555555555298395
CCCXLIX. &=
nbsp; 41/31*m^(352/240011)~ =
1.31934133006666666668175
CCCL. 15870/(7119-m)*Pi=
~ =
7.0035666666666635686
CCCLI. (6406-m)/(556.1*Pi)~
CCCLII. 5849/(8545-m)*Pi~ =
2.15044814666666666666
CCCLIII. 283/1007*m^(1050/8971181)~
0.28097777777777
CCCLIV. 1896893/912*m^(336/97)~ =
6.34844117777777779984
CCCLV. (345454*m)^(1/229)~ =
1.0495764494253839498497067777777777
CCCLVI. sqrt(2008397)=
*m/2013234~ =
0.000132240358271617777777777627
CCCLVII. &=
nbsp; sqrt(225642243*m/2035032)~
4.5639547349677627777777777711
CCCLVIII. &=
nbsp; 2037284/225728823*m*Pi~ =
0.005326573467777777777816655
CCCLIX. (2750987/222748)^(2750987/222748)*m~
5705023911381.823777777777762818
CCCLX. (21160*Pi)/(7119-m)~ =
9.33808888888888
CCCLXI. 2020021/18194958*m*Pi~ =
0.06552215776100682137001888888888873
CCCLXII. &=
nbsp; 222498057*m/sqrt(2004165828)~ 933.6688888888889
CCCLXIII. &=
nbsp; 24775385/2014272*m~ =
2.310658624038888888888058
CCCLXIV. &=
nbsp; 222953823*m/sqrt(2015708274)~ 932.898888888888520000=
058
CCCLXV. &=
nbsp; (6099708/75191807)^(6099708/75191807)*m~
0.1532288888888888533
CCCLXVI. &=
nbsp; 4001467/704*m^(746/167)~ =
3.24199958888888888233
CCCLXVII. &=
nbsp; 1469641/1321*m^(1370/37)~ =
1.440527333781922299999999 E-24
CCCLXVIII. 1502651/1344*m^(1361/37)~ =
2.174237661799999999 E-24
CCCLXIX. &=
nbsp; 157/913*m^(925/5196923)~ =
0.1719093999999999
CCCLXX. &=
nbsp; 13/1005*m^(1013/617777)~ =
0.012899906390999999999
CCCLXXI. &=
nbsp; 10210451/809*m^(806/397)~ =
423.4613418629519344999999981
CCCLXXII. &=
nbsp; 1045027/609*m^(633/67)~ =
0.000236517052825830024999999999
CCCLXXIII. =
573/614*m^(630/4633381)~ =
0.9330126114219699999999969
CCCLXXIV. 9791387/218*m^(284/389)~ =
13250.4359999999995
CCCLXXV. &=
nbsp; 2468469330/1456837459*m*Pi~ =
0.99999999999958
CCCLXXVI. 163594566/2009045*m*Pi~ =
48.05765480521669999999999498
CCCLXXVII. 17917=
1/33659*m
~ =
&nb=
sp;
0.999999999987
CCCLXXVIII. 82277047/13=
75926000*Pi/m~ =
0.99999999999999989
CCCLXXIX. =
(4761*Pi)/(7119-m)~ =
2.101069999999999
CCCLXXX. &=
nbsp; 2927/6321+.7248-m~ =
&nb=
sp;
0.999999999999
CCCLXXXI. =
(2927/6321-.2752)/m~ =
0.9999999999977
CCCLXXXII. 23447=
/3343*m~ =
&nb=
sp;
1.3176024638971246689999999999
CCCLXXXIII. 10^8*(17547=
*Pi)/(17090-2*m)~
322567221.99999999999959698080
CCCLXXXIV. (3006.99999=
892152469342*m)/(8873+1/3)*Pi~0.19999999999999999999999349
CCCLXXXV. (8873=
+1/3)/(15035*Pi)/m~ =
0.9999999996413450925906543929
CCCLXXXVI. -8.51111958=
11*log(m)/exp(2.65543)~
0.999999999999999996959889
CCCLXXXVII. -7.303498607*log(=
m)/exp(2.50241)
~
0.9999999999999999869
CCCLXXXVIII. sin(108.7*m)~ =
&nb=
sp; 0.9999999999
CCCLXXXIX. cos(34483*m) ~ =
&nb=
sp;
0.999999999999
CCCXC. cos(913=
58.21*m)~ =
&nb=
sp;
-0.9999999999999999
CCCXCI. sin(93875.0342*m)~ =
&nb=
sp;
-0.999999999999999999999
CCCXCII. &=
nbsp; sin(938750.342*m)~ =
&nb=
sp;
-0.00000000018771915
CCCXCIII. &=
nbsp; m*10^-7-sin(93875034.2*m)~ =
0.000000000014
CCCXCIV. &=
nbsp; 10409129187630272^m~ =
1020.999999999999999999
CCCXCV. &=
nbsp; 1908259475930124531729129.85835^m~ 36420.9999999999999999999999=
9999999993
CCCXCVI. &=
nbsp; -7.303498607*log(m)/exp(2.50241)
~
0.9999999999999999869
CCCXCVII. =
10409129187630272^m =
~
1020.999999999999999999
CCCXCVIII. 1908259475930124531729129.85835^m~ 36420.9999999999999999999999999999=
9993
CCCXCIX. 77622475836=
85774069812239.84853766355085^m~47404.9999999999999999999999999999999999999=
99960
CD. &=
nbsp; log((500-1)*(20-1)*5)/log(155244951673715481396244796970=
753271017/2E13)-
m~ 1.47897 E-47
CDI. &=
nbsp; 8/42.5849847~ 0.187859642462_19395729=
87
CDII. log(743/30)/log(26286247)~ 0.187859642462_136034935
CDIII. log(2=
38/9)/log(37261586)~ 0.187859642462_ 656952947
CDIV. 1.011=
1111111887/5.3822689~ 0.18785964246206_650879148
CDV. 4.365223443*Pi/73~ =
0.18785964246_31060760282194545
CDVI. (1000=
00000-Pi)/(1612^2+22908^2+2222^2)~0.1878596424_7169281300
CDVII. 411385235*P=
i/6879630000~
0.1878596424620671_002664918879
CDVIII. log(154.1/Pi)/log(99897=
0749)~0.187859642462067_7308822932025
CDIX. 47646=
565/(760885600/3-Pi)~ 0.1878596424620671202_011258=
04
CDX. 2181328609/11611480680.~ 0.1878596424620671202_ 80477442
CDXI. 23696=
38440/12613877089~ 0.1878596424620671202_73649909
CDXII. log(109/3)/=
log(202160761)~ 0.1878596424620_520698037
CDXIII. (316990000/9-Pi)/=
187486293~ 0.187859642462067_65377412349
CDXIV. (24720000-Pi)/131587586=
~
0.1878596424620_734847298
CDXV. 13.7137539/=
73~ 0.18785964246_57534246=
5
CDXVI. 3048549057/16227801868.=
70401~0.1878596424620671202485179 4466547
CDXVII. 168803.53605/
898562~0.1878596424620671_6954422733
CDXVIII. (220403883/=
Pi)*m~13179619.1369110714739560692_212345678901_346061489666889023740474498=
888
CDXIX. (374032638/Pi)^
m~32.893441652748484023141015691242655257875_9612345678901_50440
CDXX. (519171767/=
Pi)*m~31045216.003282192169895060051925965991273599032772490226884182024_59=
99123456789015_11
CDXXI. 196153346^m=
+Pi~39.26960487716933396804875588341414097100871441_90123456789_724
CDXXII. 220629353/m+Pi~1174437205.876=
872984952205754_90123456789_371703078
CDXXIII. 450372563/m+Pi~
2397388591.225059559097960172586444870037748471_90123456789_5503140
CDXXIV. 682144730^m=
+Pi~48.80085449973552202058439711436199885073885934834682597985235816477817=
_12345678901_16
CDXXV. 254076219^m=
~37.92744046502427012802392281011047861965381253276204003474071363052876315=
562457_1234567890123
CDXXVI. 716416983/m= *Pi~11980701662.16901167041582635112092836234676142515683_12345678901_4184<= o:p>
CDXXVII. 521014756/m=
*Pi~8712973730.863917901040118398292689297_12345678901_68213494
CDXXVIII. exp(9034781=
/250)*m~0.194772892377000808888888888176785288769996823587
CDXXIX. exp(5742358=
7/500)*m~0.210722536526666666666510079366112523299967464899
CDXXX. exp(3158648=
9/200)*m~0.219999999999426622682566051317683474063433486678
CDXXXI. exp(1679827=
81/1000)*m~0.22222222225419828850955768157084109659366771301
CDXXXII. exp(2238537=
13/1000)*m~0.23499137570657100000000003600980893583862700149
CDXXXIII. exp(1282922=
1/50)*m~0.242810067222222222275846495047702877233193694153
CDXXXIV. exp(1831082=
53/500)*m~0.27094385095100696666666666510087340677033754329
CDXXXV. exp(9476567=
7/250)*m~0.274446902671893777777777748617261940526201660431
CDXXXVI. exp(5734478=
89/1000)*m~0.333333333345242638768427398951050031725496089384
CDXXXVII. exp(1483779=
8/25)*m~0.340088888888884206089725177398447232333293997709
CDXXXVIII. exp(1716835=
21/250)*m~0.37331747063573145222222222242402855658373517888
CDXXXIX. exp(9816603=
1/125)*m~0.412000000000094301592446298685239293016912895494
CDXL. exp(8837781=
93/1000)*m~0.454625177777777771093292987310382437547973074107
CDXLI. exp(4429112=
87/500)*m~0.455555555552628833354407270384018282715702786161
CDXLII. exp(9136345=
37/1000)*m~0.468403281915206364444444444291354530822583577607
CDXLIII. exp(73147/2=
5)*m*Pi~0.591907792712212975585555555555142880850251133297
CDXLIV. exp(2301906=
9/1000)*m*Pi~0.603921399506374933333333333852760719746645495126
CDXLV. exp(4683681=
/200)*m*Pi~0.604162615222222222287192157739856500080269630812
CDXLVI. exp(5032831=
3/1000)*m*Pi~0.620641301177777777770476102969203473477161462622
CDXLVII. exp(1540635=
9/250)*m*Pi~0.627692516527167222222222238968657869126210306297
CDXLVIII. exp(1099545=
4/125)*m*Pi~0.644444444445001327745851606737283278596099064529
CDXLIX. exp(3017992=
3/250)*m*Pi~0.665903442766888888888896203344415185701315146027
CDL. exp(1722413=
91/1000)*m*Pi~0.70111111111119243481217139947403949790430146441
CDLI. exp(925112/=
5)*m*Pi~0.710129528000000000088702438298151945701151993652
CDLII. exp(2262251=
99/1000)*m*Pi~0.740000000000695609844576404700426795503566771871
CDLIII. exp(1087414=
9/40)*m*Pi~0.774547286482519353174444444444408532331350720606
CDLIV. exp(3540540=
3/125)*m*Pi~0.783419420701198649999999999972692184718327273762
CDLV. exp(3282363=
43/1000)*m*Pi~0.819472_90123456789_6444203620448768837753645077896
CDLVI. exp(2410326=
31/500)*m*Pi~0.955744147599999999990789543079285275900354015782
CDLVII. exp(7908635=
1/125)*m*Pi~1.111111111732435664424081099563237433195225518741
CDLVIII. exp(1286418=
43/200)*m*Pi~1.122859911636751085055555555550376326145984448428
CDLIX. exp(2021108=
03/250)*m*Pi~1.324603169967999999999923308276383279989023893791
CDLX. exp(8571650=
77/1000)*m*Pi~1.39073833894913688888888886429432718336710002521
CDLXI. exp(9128401=
31/1000)*m*Pi~1.47036377949142539011111111116513199206954000406
CDLXII. exp(9193927=
93/1000)*m*Pi~1.480030212201038604222222222252943991813907596239
CDLXIII. exp(9392645=
89/1000)*m*Pi~1.509735239263233_90123456789_604918382103243121748
CDLXIV. (173754251/Pi)^
m~28.481111111111954693859
CDLXV. (201566233/Pi)*
m~12053173.2274511512712282046338153464337885119037846185519991111111111665=
CDLXVI. (226615512/Pi)/
m~383977936.3296022349098639106364212471111111111118298
CDLXVII. (581620758/=
Pi)*m~34779514.6266162795746865595791473377629311111111117153
CDLXVIII. &=
nbsp; (508624042/Pi)^
m~34.84867005566712011111111118909399
CDLXIX. (481557963/Pi)/
m~815953114.7004047491834608101023951501111111111126
CDLXX. (444584168/Pi)* m~26585057.97=
985640208179677443919161033235974922794821834140190311575110663341711111111=
111377
CDLXXI. (403503922/Pi)^
m~33.36545764052282922700321169291391250762197649971111111111955
CDLXXII. (373678786/Pi)*
m~22345087.6272597111111111166944499
CDLXXIII. (439905210/=
Pi)*m~26305267.607934492007455486442322475085291128224943671090420511520630=
993030111111111196
CDLXXIV. &=
nbsp; 3389619*m~636772.61342262949006966111111111157178886
CDLXXV. 241301834^m~37.56166555933188923051937139=
969021011111111119658787
CDLXXVI. 344069310/m=
~1831523287.762431213168796422416149342840593280483389896750541677064783760=
84610953111111111198
CDLXXVII. 352574022^m=
~40.33512314956245446293882790315422960370998999849760799722248945595251111=
1111110220
CDLXXVIII. 370740264^m=
~40.71761956958652000264164373090483271530269361241668806111111111188901908=
359981
CDLXXIX. &=
nbsp; 88398949/m~470558486.3329527441111111111204
CDLXXX. 90746197/m~=
483053176.35384938014135754915621827545977006036261111111111396
CDLXXXI. &=
nbsp; 109586465^m~32.38514605745052289792540151704111111=
1111003
CDLXXXII. 41532488/m+=
Pi~221082548.89585862172208169914645634406852189415931053043417386513207388=
3408891111111111425773
CDLXXXIII. 724127500/m=
+Pi~3854619816.687851424283080679220292425729123603677311111111115
CDLXXXIV. 269858926*m=
+Pi~50695604.49515008239997114123826838285293981334699692946242665629030020=
591930891111111111645
CDLXXXV. &= nbsp; 291938894^m+Pi~42.0718003420359304085566352704911111111115375<= o:p>
CDLXXXVI. 769887291/m=
+Pi~4098204816.639290597880053254342760363811636382369849253053552859852091=
76111111111105
CDLXXXVII. 306684933*m=
+Pi~57613725.003475663404712904417376587202891111111111104
CDLXXXVIII. 836090372^m=
+Pi~50.5801311111111115197098
CDLXXXIX. 565667595/m=
+Pi~3011118237.938725230471251806542276198904554910325857251082011111111117=
7
CDXC. 516982033/m+Pi~27=
51958998.82843757912721111111111545797
CDXCI. 547358427*m+Pi~10282656=
1.5364121196974418639278801111111111242
CDXCII. 517980112^m=
+Pi~46.4994428460265119303411265905111111111173966320089
CDXCIII. 818153118/m=
+Pi~4355129754.680444928192760452559761427311626439178966500767711111111114=
89
CDXCIV. 820808738/m=
+Pi~4369265946.81408122251472517285200944710111111111183
CDXCV. 736213400/m+Pi~3918954550.011=
1111111154
CDXCVI. 659046200^m+Pi~48.50632787738170639381111=
1111119
CDXCVII. &=
nbsp; 187486293*m+Pi~35221111.1111110110
CDXCVIII. 422566702*m=
+Pi~79383232.695687516695846882243811111111113130640
CDXCIX. 443071304/m=
+Pi~2358523090.874316155807996317924912540592966060896693433918285111111111=
149
D. 451936709/m+Pi~2405714732.909885955=
6526343463711876311111111110081
DI. 456775293/m+Pi~2431471111.111111445566684=
302377900
DII. 482626151*m= +Pi~90665979.3112962713389896124297290974037209097178111111111124656110199<= o:p>
DIII. 488986243^m=
+Pi~46.03278902137963123259373398204681860841641790894465322249329799438355=
897211111111116112
DIV. 86646873*m+=
Pi~16277453.723828790675442300332866370951456502561288672462925666992650646=
62759111111111140
DV. 179600984*m=
*Pi~105996634.4262215118532059852548006967407128816201425374401745102766211=
1111111184
DVI. 55023917/m*=
Pi~920169607.231309504181577706443749699848634277667076457111111111153
DVII. =
229032839*m*Pi~135170251.1111111111875195408433
DVIII. 250496782*m=
*Pi~147837808.2082161929491597645671419293833404901155366276282664038339540=
39843111111111192
DIX. 257307499/m=
*Pi~4302975018.890432010063765571600390053111863420268444317060175216568111=
1111111265
DX. 266277379/m=
*Pi~4452979079.061429623617309028666081351637162294111983223443590510933822=
4209604111111111139
DXI. &=
nbsp; 293029362*m*Pi~172939621.31111111111184328207130
DXII. 304497844^m=
*Pi~123.2744210085287142382701622735457181805935344857327427509924463774215=
200151111111111120
DXIII. 346544947*m*Pi~204523367.5301762780733380611111111114378
DXIV. 36190=
5851/m*Pi~
6052182086.0078503672361591119213381111111111818315
DXV. =
475621018*m*Pi~280701285.97053411111111115777952
DXVI. 48502=
4827/m*Pi~8111111111.15596952592
DXVII. 550239170/m=
*Pi~9201696072.31309504181577706443749699848634277667076457111111111153
DXVIII. 598713608^m*Pi~13=
9.9700507669653731406122111111111169
DXIX. 633578031*m*Pi~
373924114.6495736362435375586536411111111116466557109665 DXX. =
637153646*m*Pi~
376034365.649111111111186396 DXXI. 355727542/m*Pi~
5948861703.2389598029480772732924964609551959678089548298461553811111111112=
17 DXXII. 563415716*m=
*Pi~332515826.744244576496176307574233429542165618360063371111111111019591<=
o:p> DXXIII. 623932835^m=
*Pi~141.05916963352814999045681066111111111120400656006816 DXXIV. 694271017/m*Pi~11=
610352803.9447246859926331111111111447 DXXV. 709098183^m=
*Pi~144.4908704484248503668420911340486861020989391840512081624938616391163=
1111111111291 DXXVI. 792102736*m*Pi~46=
7481982.9261172070247727111111111118579670 DXXVII. 827060363*m=
*Pi~488113221.8369642134684593091016033171568086328053253601718118718811111=
111118 DXXVIII. 926220952/m=
*Pi~15489271140.24342493046630766261708306668746059210273770880834425418950=
594275188781111111111786 DXXIX. 928468825/m*Pi~15=
526862510.111111111170112439432 DXXX. 803539862/m=
*Pi~13437664919.62469049721330041222051030243653879394068398094070876347432=
11111111118894 DXXXI. (428427221/Pi)^
m~33.7432523894571492737839851487639019235042572291534977193883809655391588=
195786746222222222284 DXXXII. (453231024/Pi)/
m~767955872.65920446981972782127284249422222222222365966565 DXXXIII. (462204627/Pi)^
m~34.2277[27digits]92222222222 while
(462204627/Pi)*m~27638718.8114015383421[27digits]55999999 DXXXIV. (480153312/Pi)*
m~28712006.7639027594522403599353875199255767343638039310502916300522222222=
2204 DXXXV. (370037489/=
Pi)*m~22127346.8734619348994057094308806936131222222222264274 DXXXVI. (178870997/Pi)/
m~303079501.006438042828045958433134855228921020297810772514096162222222222=
3 DXXXVII. (189212814/Pi)*
m~11314468.649099050134894200433522222222221065262 DXXXVIII. &=
nbsp; (198288573/Pi)/
m~335980694.2884019555461309218068685912222222222228511 DXXXIX. (288894515/=
Pi)/m~489503647.42304718221231564756834588410637836458328232322222222224517=
60088 DXL. =
71931846^m~29.9225367182208136124187772222222222816905132 DXLI. 181492394/m=
~966106352.70769876028271509831243655091954012072522222222222792776 DXLII. 6779238*m~1=
273545.22684525898013932222222222314357772 DXLIII. 28053947/m~=
149334612.97130218863572318289083169204523016987256769440952222222222190 DXLIV. 406941522^m=
~41.43655145754860553437860515200703965981889088216036976117052657701844094=
60122222222224 DXLV. 319366079*m=
~59995997.41545228242859067816009381467761872222222222069 DXLVI. 262967570^m~38.17=
3309684751285467888374412222222222511337 DXLVII. 161015991*m~30248406.49=
9935417275331281433021451922222222225312 DXLVIII. 158571803^m=
+Pi~37.85454225379719461403475104148211168283436373943526923877951220589590=
74022222222225803094977 DXLIX. 114535950/m=
+Pi~609688962.9357499218156068357231341847523894079728049567711583895612222=
2222221347 DL. 94065946^m+=
Pi~34.6108261636814611141716272404881974699792269614349222222222253004000
DLI. 79234643^m+=
Pi~33.6126389877424441220701854196224619738198817605711796852222222222531
DLII. =
494413527*m+Pi~92880351.5522222222225961067611700203 DLIII. 470303068^m+Pi~45.7200374999133573122964302298222222222205 DLIV. 18807=
5464*m+Pi~35331792.56452002962967704422222222220504560
DLV. =
243385000*m+Pi~45722222.222222859651 DLVI. 40619=
4293/m*Pi~2162222222.222092157001 DLVII. 414774683^m=
+Pi~44.72682441544497886723416022370415934616804562899137718845030885690848=
15587994759222222222220655401 DLVIII. 313176172/m=
+Pi~1667075314.770789261545090540101038979129457097755799076191703852777342=
702820922222222226903621161 DLIX. 518416530/m+Pi~2759595002.92809222222222298229941382432000 DLX. =
612988224/m+Pi~3263011770.68381733873391705233732222222222169 DLXI. 603081315*m=
+Pi~113294643.35304593008753256093317776423091444618211489222222222204 DLXII. 620764284/m=
+Pi~3304404695.1996305359629095222222222217 DLXIII. 663986824*m=
+Pi~124736330.4977561412384327522023817089325433226316831491646703288766399=
1111474769222222222253 DLXIV. 705937330/m=
+Pi~3757791302.795236173649867720996434659130705759688695723129622222222227=
25 DLXV. 755167840*<=
span
class=3DSpellE>m+Pi~ 141865563.5628441627228867899236713411906423036=
2222222222884
DLXVI. 814873697/m=
+Pi~4337672993.04170080442443822837651070118889366403992222222222980
DLXVII. 824007624^m=
+Pi~50.45058011379607990003755414640528908791498966508625252812609743617422=
8522222222225
DLXVIII. 190924973^m=
+Pi~39.08671061777752166190236763115914858922222222223466
DLXIX. 200966284/m=
+Pi~1069768269.311796778206850428961464202316562701982477223758222222222232=
87
DLXX. 693089894*m=
*Pi~
409046735.06035255614667612222222222287572119
DLXXI. 236614040^m*Pi~11=
7.5693532170272806792821222222222289338241292599
DLXXII. 52929323*m*Pi~31237747.=
0073237353222222222294983828
DLXXIII. 106384212^m=
*Pi~101.1756842064019130880609471620005067202928052222222222047
DLXXIV. 111572259*m=
*Pi~65847545.40838541793210591856890274237102884398873272767922222222224
DLXXV. 224577807/m*Pi~37556336=
17.651372042222222222260677596778770
DLXXVI. 247532105*m*Pi~146088119.6644116271=
95241472222222222455614713
DLXXVII. 458065678*m*Pi~270340502.2222222223750390=
816867589
DLXXVIII. 514614998/m=
*Pi~8605950037.780864020127531143200780106223726840536888634120350433136222=
22222225
DLXXIX. 529293230*m*Pi~
312377470.07323735322222222229498
DLXXX. 532554758/m=
*Pi~8905958158.122859247234618057332162703274324588223966446887181021867644=
841920822222222227
DLXXXI. 586058724*m*Pi~345879242.6222=
2222222368656414260
DLXXXII. 711455084/m=
*Pi~11897723406.47791960589615454658499292191039193561790965969231076222222=
222243
DLXXXIII. 724967229/m=
*Pi~12123688147.54683519328299187948943482647456944431486045682606651510711=
8591931689255222222222226962433383180000
DLXXXIV. 917142927/m=
*Pi~15337458562.11151897288611636219514071625522222222226079
DLXXXV. 918839431*m*Pi~542279252.0118062684509542=
721509558222222222272580
DLXXXVI. 976087420^m=
*Pi~153.4306089495355687588181463609233954177541115345496521051675772318502=
2222222225235
DLXXXVII. 838795486/m=
*Pi~14027247694.852683242750702472222222222872452271
DLXXXVIII. (569501183/=
Pi)/m~964964344.47791531014263222844360355665376124041602030795926993441712=
3333333333727
DLXXXIX. &=
nbsp; (424904085/Pi)/
m~ 719958630.61800419045599483244328983833333333333468
DXC. (444674162/Pi)/m~753457102.547575073333333333316977
DXCI. (1699=
61634/Pi)/
m~287983452.247201676182397932977315935333333333333872374621460134
DXCII. (235283726/=
Pi)/
m~398665381.571141422690958838896554540917167921948746940791384600880515495=
0278773333333333640
DXCIII. (333438126/=
Pi)*m~19938793.484892301561347580829393707749269811920961163756051427336813=
329975062833333333335328
DXCIV. (274237361/Pi)*m~163987=
30.920233333333333753712336
DXCV. (597083819/=
Pi)/m~1011700437.5032268098704411043718362877023393683482033333333338991389=
DXCVI. (588209315/=
Pi)/m~996663453.92785355672739709724138635229291980487186735197846150220128=
873756969333333333341
DXCVII. (531408654/Pi)/m~
900420260.333333333372353575136007
DXCVIII. 89892548*m~=
16887181.927284206786161670315834590937915311641659281042628667320738168333=
3333333640138
DXCIX. 168323682/m= ~896007677.827813131814339097344990152271381019235406166457133333333331459<= o:p>
DC. &=
nbsp; 265196847/m~1411675458.998858232333333333361359
DCI. &=
nbsp; 2.83899898*m~0.5333333333329732430770
DCII. 307880091^m=
~39.32098003441999218482352347409493699160628543443515977528677534252873333=
33333334
DCIII. 32397=
9257/m~
1724581462.8089603718391369474907314717913483200527279215648358956600418203=
663333333333221800
DCIV. 416918303/m=
~2219307444.3021189205993578938679888183333333333691921997
DCV. 40675428*m~
7641271.36107155388083593333333333886
DCVI. 34049=
2138^m~40.071775639272382080574822585603333333333533218
DCVII. 343079996^m~
40.128814277411983302579002504176174542689465018010800368047156132783333333=
33337506304490004
DCVIII. 2327004^m~1=
5.7059507918874667621983554265078276392906461921618593303682133333333334
DCIX. 20216=
0761^m~36.33333333334379
DCX. 182860702^m~35.654880159632840566076477080443333333333906
DCXI. 65125=
17*m~1223439.11514813397575951727033333333338397985
DCXII. 355864589/m= ~1894311009.73087751800672116466241459563071120837654269988184633333333333<= o:p>
DCXIII. 359570192*m=
~67548727.70913682714464668126333836375166124656663712417051466928295267333=
333333345605540906746741816
DCXIV. 332869432/m=
+Pi~1771904961.745000289297169130992249407654421855661153444816099828074508=
33333333338433560807097
DCXV. 338113642^m=
+Pi~43.160632825952265463045944115573799422006979430726333333333323128
DCXVI. 340133358^m= +Pi~43.2054327047127312683366218698986696853261939804916065533333333334206<= o:p>
DCXVII. 365748151*m+Pi~68709320.01961=
4790458583333333333750
DCXVIII. 344326868/m+Pi~%26 =3D
1832894303.8401951174243387475060326231990984666415645974558570305704311106=
18333333333371
DCXIX. 18410192/m+Pi~
97999721.22216661998403651039408769983993411733333333335119
DCXX. 56334690/m+=
Pi~
299876492.1079504959680863333333333155568935700
DCXXI. 81043628^m+Pi~33.=
742133333333338434411
DCXXII. 157555876/m+Pi~838689324.2490=
46060813333333333186897
DCXXIII. 452201693^m+Pi~45.40724821333333333=
3742773588
DCXXIV. 509168257^m+Pi~46.35991005261025456=
8233333333333173
DCXXV. 593721542/m=
+Pi~3160452850.910027419106974989433107890949785080198424945491533333333339=
61
DCXXVI. 668180289*m+Pi~125524113.3333333335=
34845
DCXXVII. 670860755*m+Pi~126027664.7177250607403897=
673333333333710
DCXXVIII. 748257252^m=
+Pi~49.60125356735462149886882273568970890163581920046110181971305530873123=
463569106933333333338
DCXXIX. 720948757^m+Pi~49.27789166111123333=
3333331039
DCXXX. 809835204^m=
+Pi~50.29664268018602048409026977551027743959480387159154980133333333339997=
DCXXXI. 817217107*m+Pi~153522116.6764975028=
3910818556809333333333345
DCXXXII. 23892157^m*Pi~76.423387945320603333333333=
5732781
DCXXXIII. 771922497/m=
*Pi~12908925056.67129603019129671480117015933559026080533295118052564970433=
3333333379712
DCXXXIV. 784346839/m=
*Pi~13116698376.37602483726263537512287626457918425100887880276533333333335=
29397088807875808331779908
DCXXXV. 879088086*m*Pi~518818863.9333333333355298=
462139103
DCXXXVI. 903358348/m=
*Pi~15106937884.27102722574565400217971911706609529687796458193963519201401=
542834082633333333338790
DCXXXVII. 995628229*m=
*Pi~587598347.5332148236343180785214257592481900796542916784861665408116838=
43333333333622859
DCXXXVIII. 957657023^m=
*Pi~152.8821465343735293777643680663952574949632519428384557483193589611179=
3333333333883245
DCXXXIX. 987076533^m=
*Pi~153.7536389643667404773073333333333131480490185
DCXL. 100452673*m=
*Pi~59285005.1262401332709609477331333333333351
DCXLI. 143701042*m=
*Pi~84809261.48790534118744611734282867639503826388633333333339136
DCXLII. 148519263*m*Pi~87652871.79864=
6976317144883333333333473
DCXLIII. 696736068^m=
*Pi~144.01426774422464672292751441367756459722367337034733333333338702
DCXLIV. 687098517*m*Pi~405510753.3333333335=
62558
DCXLV. 659688273^m=
*Pi~142.5435923639127422942436554445032956635712875074945525886921471501333=
333333398483
DCXLVI. 506834866*m*Pi~299123027.1091664333=
33333336341937230083805
DCXLVII. 454361587^m*Pi~132.9003863243974881123622=
0865333333333327
DCXLVIII. 448880445^m= *Pi~132.597717999509234148222128369361147465258850245483303613333333333658<= o:p>
DCXLIX. 366761048^m=
*Pi~127.6591179843681831827230570233735799266506039600153848633333333334424=
DCL. (538283305/Pi)*
m~ 32188039.7527195065074796997347588444444444415
DCLI. (5025=
54093/Pi)/m~
851529014.14857690860941414444444444124
DCLII. (577789030/=
Pi)/
m~979007294.846094364424631295136691768212756729166564646444444444490
DCLIII. (442791227/Pi)*m~=
26477844.444444448956635244191988
DCLIV. (378425628/Pi)*m~226289=
37.29819810026978840086704444444444213
DCLV. (396577146/=
Pi)/m~671961388.57680391109226184361373718244444444444570
DCLVI. (422233611/Pi)*
m~25248548.728076016221218586982189553703444444444479
DCLVII. (239741764/Pi)/m~
406219093.21343600351432762879848221700506398599028863209574511845978985392=
00987537444444444403679
DCLVIII. (353564771/Pi)/
m~599081104.0659405288504444444444330
DCLIX. (357741994/Pi)/
m~606159002.012876085656091916866269710457842040595621545028192324444444444=
658148
DCLX. 362984788/m=
~1932212705.41539752056543019662487310183908024145044444444445585552
DCLXI. 353595796/m~18822=
33945.33181097644444444448181
DCLXII. 308593417/m= ~1642680742.68432407499295501179914861249753186859824463850474444444444100<= o:p>
DCLXIII. 316342453^m~39.52178440139144444444=
4432
DCLXIV. 28776.8111*m~ 5406.0014444444444349=
1258
DCLXV. 405326255*m=
~76144445.3447886454089664435105555350853126420987828531793444444444458
DCLXVI. 135584760*m~25470904.53690517960278=
6444444444462871554
DCLXVII. 129016452*m~24236984.5444444444403211421<= o:p>
DCLXVIII. &=
nbsp; 14.1949949*m/6~
0.444444444444144369230899801
DCLXIX. 144371859^m~34.10652511201224219084=
548822978865091444444444463
DCLXX. 3751.18969/m~19968.0444444444=
496842016550
DCLXXI. 2170839*m~407813.038382711325253172=
4234444444444613
DCLXXII. 136715402^m=
~33.75916965573782818648211447610854648595754017099404606648089672839837845=
9272328444444444422
DCLXXIII. &=
nbsp; 13558476*m~2547090.4536905179602786444444444462871=
DCLXXIV. &=
nbsp; 35085276*m~
6591107.40504294444444444030
DCLXXV. 349123888^m=
~40.2606782298928173271491253859834447541107122434293644444444444695
DCLXXVI. &=
nbsp; 350852760*m~65911074.050429444444444403
DCLXXVII. 41790382^m+=
Pi~30.1620488183124302309237162749669993877938736038118671503744444444445
DCLXXVIII. =
92644067*m+Pi~17404084.4444444448365939
DCLXXIX. 303720973^m=
+Pi~42.36223298376792018029968265710405282436655803821245905250107489371124=
5744444444447923900
DCLXXX. 416446463^m=
+Pi~44.75826060082343893584644735674075744444444446666406384
DCLXXXI. 468878428/m=
+Pi~2495897588.460784256841818724823249232386854051147848420702164283964914=
44444444488
DCLXXXII. 481505754/m=
+Pi~2563114399.024818664564082257869781122768864400708154167853444444444451=
DCLXXXIII. =
503482707^m+Pi~46.26883684871002286812444444444454111344244
DCLXXXIV. 533231253^m= +Pi~46.7364482668940050184994022191030153449993408835071546089444444444415<= o:p>
DCLXXXV. 597921141^m=
+Pi~47.684359127351198201418529865885444444444424840
DCLXXXVI. =
611664691/m+Pi~3255966441.6144444444445108375
DCLXXXVII. 667252576*m+Pi~%95
=3D
125349833.50084592186051859014255531984214484827565946720588912551771448956=
26844444444441
DCLXXXVIII. 698998892^m=
+Pi~
49.010689672439403102198734846134444444444418
DCLXXXIX. =
733991277/m+Pi~
3907125915.76653836228559090388726635117593592956126341753914444444444916
DCXC. 798935893/m=
+Pi~4252834100.605193673814717482587327136223677269273236133800131444444444=
48
DCXCI. 815649691^m+Pi~50.36006=
087708403905457982611444444444417
DCXCII. 817760050/m=
+Pi~4353037405.334686065502862790742244860693430627644444444441513514
DCXCIII. 831777770*m+Pi=
~
156257477.62168815246042733145531382954609893580930521162776271353644444444=
4443089
DCXCIV. 738245349^m+Pi~
49.48383205867619550666233939094444444444467
DCXCV. 526056367*m=
*Pi~310467143.2116720366228337474242124633152798288409892969625360333333333=
3377
DCXCVI. 382248301*m*Pi~225594718.4629082141083333=
333333998794948347
DCXCVII. &=
nbsp; 594077052*m*Pi~350611487.1945879052685795333333333=
338934
DCXCVIII. 734488196^m=
*Pi~145.4489569520044756141967366799937431819148344033147493170973333333333=
3613
DCXCIX. 683707602/m=
*Pi~11433699923.49691281381867936172766571983106009989726828866243065469154=
44444444423411
DCC. 684820913*m=
*Pi~404166560.4832780141536019913969800453599470249114388575951064444444444=
23902
DCCI. 543057105^m=
*Pi~137.42787313338271837493829398861598606654444444444844940
DCCII. 549762811*m=
*Pi~324458176.12390648408189312490461512329427355444444444471
DCCIII. 557120159^m*Pi~138.0895=
13969324809761671924444444444919687997
DCCIV. 711242824^m=
*Pi~144.572865831681824929130680654047487534444444444295607999584
DCCV. 616892417^m*Pi~14=
0.75877342303487358695850878134444444444501217417
DCCVI. 665530170^m=
*Pi~142.7798795278090546492866270129705775354232235310888433220336263505767=
534237044444444449634699
DCCVII. 666476932^m=
*Pi~142.8180144478910735677705100240114608219500975927460444941909067452444=
444444437
DCCVIII. 764543257*m=
*Pi~451216971.702458606104932085776319018229955304786744444444443927630
DCCIX. 49506421*m*Pi~29217623.=
9328823254390482944444444444911229
DCCX. 57989030^m*Pi~90.=
27536380809118271994444444444358
DCCXI. 151350811^m=
*Pi~108.1032830850901475733248164818606261456968634351505763945347485300030=
1887444444444418
DCCXII. 223144518*m=
*Pi~131695090.8167708358642118371378054847420576879774654553584444444444840=
DCCXIII. 303768206^m=
*Pi~123.2188750236642571091197596688679792755715886952563696675922525204444=
4444445688
DCCXIV. 315251961^m=
*Pi~124.0808294017288924415809255104482446422339282935150806344444444442255=
536
DCCXV. 360920096^m*Pi~127.2746922589=
95670039145911191354444444444510743
DCCXVI. 410610087^m=
*Pi~130.3964236733419555492912299236232244560676436690537649744444444445595=
6388435550065
DCCXVII. &=
nbsp; 432416170^m*Pi~131.6701471195079271284444444444610=
6650022
DCCXVIII. 495064210*m=
*Pi~292176239.32882325439048294444444444491122942609323000
DCCXIX. 498218570^m=
*Pi~135.220976381240075260959317890299852989263444444444406077924
DCCXX. 502819948^m=
*Pi~135.4547108774948276522170452623811761578258868391651015274444444444397=
DCCXXI. 748736095/m*Pi~12521176899.42092708=
33499669400444444444420145
DCCXXII. &=
nbsp; 916131356*m*Pi~540681004.4444444447500781633735178=
63
DCCXXIII. &=
nbsp; 926617299/m*Pi~15495899284.57050560391334444444444480944=
17233
DCCXXIV. &=
nbsp; 449155614/m*Pi~7511267235.3027440844444444445213551935
DCCXXV. &=
nbsp; (367077997/Pi)/m~621977950.74180058864388912555555=
5555428
DCCXXVI. (368250207/=
Pi)/m~623964146.53560363172852885478418452655555555555672
DCCXXVII. (354272436/=
Pi)/m~600280173.5555555555815690500906719286551367939907600998
DCCXXVIII. (351244289/=
Pi)/m~595149273.0902658007529781473134518631100395555555555663
DCCXXIX. &=
nbsp; (290810379/Pi)*
m~17389757.3133081397873432797895736688814655555555558576
DCCXXX. &=
nbsp; (257987903/Pi)^
m~30.67648869135075831562465614162372355295025643194585591252555555555531
DCCXXXI. (505279711/=
Pi)/m~856147308.65819025663260927970235662338314160555555555531
DCCXXXII. &=
nbsp; (436072146/Pi)^m~33.8555555555551665529262
DCCXXXIII. =
(404792856/Pi)^
m~33.3854539974498324430100594794105312201502941588679269955555555550
DCCXXXIV. (222292084/Pi)*
m~13292528.9899282010408983872195958051661798746139741091707009515578755533=
16708555555555556885825
DCCXXXV. &=
nbsp; (186839393/Pi)*m~11172543.8136298555555555583472
DCCXXXVI. (491422642/=
Pi)*m~29385885.442020994080137534276716775694456861675865555555555863
DCCXXXVII. 341409162/m=
~1817362992.5274547025731593181783506422181555555555510009563
DCCXXXVIII. 375114735^m=
~40.80744526440800984373938111746663623894654596127642892555555555551449
DCCXXXIX. =
399681746^m~
41.2966645124402551685602797738447100555555555577785551758883
DCCXL. 280682208*m~
52728859.24034355555555552245
DCCXLI. 196377629/m= ~1045342290.79911532045006228023582184431661118910797386086665555555555336<= o:p>
DCCXLII. &=
nbsp; 304829492^m~39.2474921555555555510246
DCCXLIII. 296220658*m=
~55647906.90175826240018110595035742391894499155555555553119
DCCXLIV. 261822359^m=
~38.14202397710771582253733979366976635724592209519944117396704954451073952=
95170055555555550159222
DCCXLV. 331128082^m=
~39.8623965227580518740629848590472126588555555555510887687
DCCXLVI. 172034655/m=
~915761643.8812156065843982112080746714202966402416949483752708385323918804=
2305476555555555599334
DCCXLVII. &=
nbsp; 787047574*m+Pi~147854478.9938699676065555555555511133281
DCCXLVIII. 742520952/m=
+Pi~3952530425.6879405805136146518477353294928158555555555522
DCCXLIX. &=
nbsp; 751966135/m+Pi~4002808297.380937039085555555555380259
DCCL. 585403216^m+Pi~47=
.50766480317404917236074412900172045555555555375
DCCLI. 173254879^m+Pi~38.43686=
25665555555555500
DCCLII. 232660092*m=
+Pi~43707444.83990429629698848386336052597744646339972042017865275859963330=
12355555555551576589
DCCLIII. 308951659^m=
+Pi~42.48824606596424313414082146043052207910606368555195657708751849567063=
62611355555555554204
DCCLIV. 385865675/m+Pi~2054010486.409251020767169=
565555555555760076
DCCLV. 302065045/m+Pi~1607929418.108=
904715555555555168463
DCCLVI. 513402261^m+Pi~
46.427196822217836683934083539341757590677194732122130086558359598636531792=
15024016555555555514
DCCLVII. 563342906*m=
+Pi~105829400.0462945398776447736258940264172018761326073629805555555555226=
599
DCCLVIII. 619137747*m=
+Pi~116310998.9277824233832387122421006866587274104239685174329555555555502=
DCCLIX. 909021707*m=
*Pi~536485042.6564413715290225700485903757411048485526721555555555514637000=
2
DCCLX. 862251723^m*Pi~149.8976741989=
5311555555555534371591
DCCLXI. 954570631/m=
*Pi~15963365214.47234075252959126511373076167171862593661555555555542
DCCLXII. 719978194/m=
*Pi~12040256094.2378485536696299748349989602714357940245555555555275198
DCCLXIII. 640919484*m=
*Pi~378256882.1682543089332776919263341623891001726367759716873674144037245=
3525555555555221
DCCLXIV. 522397681^m=
*Pi~136.4301852063877443085106006665818306531926229535424184770311486592164=
555555555518
DCCLXV. 497344946*m=
*Pi~293522280.6178549600634208700294517805162594438284045414555555555536520=
DCCLXVI. &=
nbsp; 396051368*m*Pi~233740991.4630586035123863555555555559289=
83540
DCCLXVII. 699322885/m=
*Pi~11694835618.814927784806386748546566219850015155555555550553
DCCLXVIII. 27072874/m*Pi~452741956.469633578825555555555243799
DCCLXIX. &=
nbsp; 475722981/m*Pi~
7955555555.553737002454625536
DCCLXX. 100340559^m=
*Pi~100.0701129989602865232271311775127595297243060336322074578055555555551=
DCCLXXI. &=
nbsp; 412934029^m*Pi~130.5347481336555555555583113162491
DCCLXXII. &=
nbsp; 501547958^m*Pi~135.3902723835415645555555555455250
DCCLXXIII. =
667545553^m*Pi~142.861004946513909755555555555801061281595
DCCLXXIV. 670191823*m=
*Pi~395532786.49060159954756276642908592555555555560088980
DCCLXXV. 213632558*m=
*Pi~126081336.7919218296255421135715679298555555555534274500
DCCLXXVI. 174685663^m=
*Pi~111.054810430427494809460698464626533680588049885555555555794
DCCLXXVII. 300646558^m=
*Pi~122.9799992287496705461820113355120890799803496172311191055555555552614=
DCCLXXVIII. 318576823*m=
*Pi~188017182.82455555555559319845964346980
DCCLXXIX. 336710286^m=
*Pi~125.62532783382497121475663156547416652555555555583107
DCCLXXX. 313407332^m=
*Pi~123.944112017106509705493078846331849781476467673555555555518810
DCCLXXXI. 73917568^m*=
Pi~94.486551019087636024034140717802032485555555555439
DCCLXXXII. 27072=
8740/m*Pi~4527419564.6963357882555555555524379901089
DCCLXXXIII. 275119585/m=
*Pi~4600848036.156547520907888532218748499243171388335382285555555555765220=
DCCLXXXIV. 281707858*m=
*Pi~166257913.3721222882480881537871167147710828091800316855555555555097956=
51
DCCLXXXV. 291108461/m=
*Pi~4868231358.739527409089617350846719221973016888701494984425555555555279=
51104355515
DCCLXXXVI. 146514681*m=
*Pi~86469810.65555555555592164103565
DCCLXXXVII. 125248391*m=
*Pi~73918904.10410809647457988228357096469167024505776831381413320191697701=
9921555555555596
DCCLXXXVIII. 816363476/m*Pi~
13652115298.67832860509565888587188555555555510104
DCCLXXXIX. (536612991/=
Pi)/
m~909238503.019314128484137875299404565686763060893432317542288486666666666=
987222
DCCXC. (548474722/Pi)*
m~32797461.840466666666667507424
DCCXCI. (594865719/Pi)/ m~ 1007942082.86520586663=
83927654206057736666666666685533111
DCCXCII. &=
nbsp; (571232285/Pi)*m~34158309.066666666666059796282554=
57158560686
DCCXCIII. &=
nbsp; (567638442/Pi)*m~33943405.947297150404682601300566666666=
66319
DCCXCIV. (561511241/=
Pi)*m~33577014.146680367922468823327841850082506188676142862479573371353806=
666666666758
DCCXCV. (339923268/= Pi)/m~575966904.4944033523647958659546318706666666666677447492429202680009<= o:p>
DCCXCVI. &=
nbsp; (222337081/Pi)/m~
376728551.273787536666666666658488
DCCXCVII. =
(228492914/Pi)*m~13663323.626666666666423
DCCXCVIII. (269929513/=
Pi)*m~16141132.028748721488147075649670546726935258859470201750666666666609=
4
DCCXCIX. &=
nbsp; (294602906/Pi)^
m~31.4509264065750520843968986666666666589595
DCCC. (308842574/Pi)^
m~31.7310607666666666633174640
DCCCI. (387758839/=
Pi)*m~23187040.742793170848932929816983080065541651251423661798457266666666=
663040
DCCCII. 179785096*m~
33774363.854568413572323340631669181875830623283318562085257334641476336666=
66666672802770453373370908
DCCCIII. 369721654^m=
~40.69657989006131322183376040779090330919694501145533035766666666662
DCCCIV. 20337714*m~3820635.6805357769404179666666=
6666943
DCCCV. 348042679/m=
~1852674020.0215022809924197716539503919902927560985820986666666666282
DCCCVI. 336647364/m=
~1792015355.6556262636286781946899803045427620384708123329142666666666629
DCCCVII. &=
nbsp; 210511656*m~39546644.43025766666666664184346
DCCCVIII. 84161841/m~=
448003838.91390656590716954867249507613569050961770308322856666666666572
DCCCIX. 81656324/m+Pi~434666666.66666647714651
DCCCX. 88318397^m+=
Pi~34.240299700355202379325030651164774586204581494882502474237307666666666=
69
DCCCXI. 128944321*m+Pi~24223437.18216666666666373=
47
DCCCXII. &=
nbsp; 157490287/m+Pi~
838340185.9288597875858823636766666666662903
DCCCXIII. &=
nbsp; 508588118*m+Pi~95543185.149528256666666666832
DCCCXIV. 559696069^m=
+Pi~47.13495778518740339540868684761919250802866112558002482877094666666666=
659
DCCCXV. 782203615*m=
+Pi~146944494.5880290554208236648722275100269569371177460219205598966666666=
66297
DCCCXVI. 762045224/m= +Pi~4056460528.73784055092131408677809804322116609943383111194866666666667<= o:p>
DCCCXVII. =
133072918.6755079182825583542787589649666666666645
DCCCXVIII. 647696301^m=
+Pi~48.35852383436759968184109287799787238698728030243205265106666666666836=
DCCCXIX. &=
nbsp; 668306125/m+Pi~%97
=3D
3557475766.6491554892634756949967640949904467866942925190206929262304729309=
8466666666669341
DCCCXX. 735477343/m=
*Pi~12299449670.8737965809688568896918590547038125387784666666666688925
DCCCXXI. &=
nbsp; 753229973/m*Pi~12596328400.4346666666666635696260
DCCCXXII. 278295404^m=
*Pi~121.2081316871241527906918912716308594016555397075326493967140640973274=
552666666666638670
DCCCXXIII. 764496602*m*Pi~451189436.925816428216666666666799758989 DCCCXXIV. 845123574*m=
*Pi~498773740.11636686474426446136135014431324842754009505666666666652938 DCCCXXV. 798102524^m=
*Pi~147.7363735519024908178403290078708195977707415019120291165666666666664=
41 DCCCXXVI. 966077638^m=
*Pi~153.1337860537944442664636692147817623666666666618537610 DCCCXXVII. 365609199^m=
*Pi~127.583703940114248642546337239000680099707282926666666666470 DCCCXXVIII. 494038880^m*Pi~
135.00713773142152941109505085671436683782190069445928281475086461572002899=
0246930666666666622 DCCCXXIX. 502263365*m=
*Pi~296425025.6312006663548047386656666666666758597568677164616 DCCCXXX. =
439544043*m*Pi~259409431.9666666666677649231069551567970800 DCCCXXXI. 297038526*m=
*Pi~175305743.5972939526342897666666666669467376556559 DCCCXXXII. 29857=
7616^m*Pi~122.820566666666667268248528284 DCCCXXXIII. 30517039^m*=
Pi~80.01903885754381560004666666666699456 DCCCXXXIV. 242167393^m=
*Pi~118.0828547856679249420506977738575436566728220626984308197666666666680=
369 DCCCXXXV. 197078539^m=
*Pi~113.5998746979961877658593515075012582679903088127538416004161638893839=
467683417166666666661612 DCCCXXXVI. 122528723/m=
*Pi~2049058174.420114786904972186836889893790848283966666666664 DCCCXXXVII. 616595504*m=
*Pi~363901392.8027243097775539943255567242682312729526254957754756622712399=
69501481166666666662822123625 DCCCXXXVIII. 620656732*m=
*Pi~366298242.140907973282095662299293347693539966666666662927672 DCCCXXXIX. 673733421/m=
*Pi~11266900852.954116126666666666782032790336310555 DCCCXL. &=
nbsp; 633587553^m*Pi~141.466666666660586114343717373967<=
o:p> DCCCXLI. 640897674*m=
*Pi~378244010.37576548887662634071470378956666666666028235008 DCCCXLII. =
(177136218/Pi)/m~300140086.77777777779078452 DCCCXLIII. (357472667/=
Pi)/m~605702653.61578205627154753970350966327616149340420767661928026377603=
53316677777777776 DCCCXLIV. (300691194/=
Pi)/m~509491972.22034859449566480544709933484522035131859278882045900850777=
7777777259 DCCCXLV. =
(304660953/Pi)^
m~31.649903683961050817062717777777777866323888418717 DCCCXLVI. (307297716/=
Pi)/m~520686080.96201371235476874861682176307117070903287294917787777777777=
116860464909 DCCCXLVII. (311596329/=
Pi)/m~527969662.45320307300106287712507921477777777777876602013934357900086=
4666 DCCCXLVIII. (374074537/=
Pi)*m~22368752.579900548629599344001907949833611459843709138189632575577777=
7777753281 DCCCXLIX. (402010438/Pi)/m~681167573.233907777777777547881808 DCCCL. (566538780/=
Pi)/m~959944840.824005587274659776591053117777777777779574 DCCCLI. (519161613/Pi)^
m~34.9831754351030236847559238591289817613341624171848091055134630759666288=
0740757777777777126 DCCCLII. &=
nbsp; (522410191/Pi)/m~
885173240.293159377780321028242672793113005228777777777752 DCCCLIII. &=
nbsp; 83451495/m~444222579.721190737917310174514777777777724 DCCCLIV. &=
nbsp; 338727673/m~1803089096.522667777777777879 DCCCLV. 213792961^m=
~36.7172022932934723387835739631109161002407977777777770738211468068259195<=
o:p> DCCCLVI. &=
nbsp; 222450833/m~1184133164.97670637777777777905 DCCCLVII. 224431576/m=
~1194676903.77041750908578546312665353636184135898054155527617777777777527<=
o:p> DCCCLVIII. 361877021^m~40.53294978547915977777777771504050 DCCCLIX. &=
nbsp; 387876107^m~41.0647139045852257777777777766775 DCCCLX. 148110329*m=
~27823953.45087913120009055297517871195947249577777777776559 DCCCLXI. &=
nbsp; 140341104*m~26364429.620171777777777761228975901023 DCCCLXII. =
170704581/m~
908681496.2637273512865796590891753211090777777777755004781 DCCCLXIII. 149938369^m=
/9~3.81664303264094564638413762287396466377777777777249402 DCCCLXIV. 307978513/m=
~1639407533.005325765022494857723420731113661705430996858163418753177777777=
77370 DCCCLXV. =
543138726^m+Pi~
46.887478369995150852801895871789970491405683092845514989409027059068833291=
465237777777777841408 DCCCLXVI. 127498143/m=
+Pi~678688311.7587273955528549524036589723270874777777777779040
DCCCLXVII. 451888909/m=
+Pi~2405460287.62630328385900803175163759934981342258947777777777394 DCCCLXVIII. 190603457/m=
+Pi~1014605665.656291171614189319129501922257289886447107777777777975 DCCCLXIX. 211909685^m+Pi~
39.79781561797940259937777777777939092 DCCCLXX. =
219196507^m+Pi~
40.03136910180214122741207554767048874340333888888888863429797599 DCCCLXXI. 246499606/m=
+Pi~1312147746.90073210037221719141500167715745777777777703 DCCCLXXII. 256600955^m=
+Pi~41.1395500666267985697539318918254777777777787660 DCCCLXXIII. 305111657^m=
+Pi~
42.395907070952332037976764761126823214703958298593439999999999857575 DCCCLXXIV. 359960400/m+Pi~19=
16113518.968621354477777777773 DCCCLXXV. 307094348^m=
+Pi~42.44370115090876683119607633993168026062277134376820575450777777777789=
72
DCCCLXXVI. 362328303*m=
+Pi~68066868.59706017514153567977359411262398684770478464023328814426913597=
77777777762889 DCCCLXXVII. 526847778/m=
+Pi~2804475573.8133607242027308878109612340977777777772005070 DCCCLXXVIII. 58978359^m+=
Pi~31.968599379051680493323370460827023244597436505900692815728669589527991=
0014691544577777777778 DCCCLXXIX. 33103476/m+=
Pi~176213880.51381377777777773588363935
DCCCLXXX. 646815265^m=
+Pi~48.34696279629092578415866510655321697286287140565777777777760 DCCCLXXXI. 680488875^m=
+Pi~48.7800126309886362790332453474049356821351607777777777112 DCCCLXXXII. 825606412^m=
+Pi~50.467810495083056672463218513062250989298780403505422677777777772365 DCCCLXXXIII. 673012364^m=
*Pi~143.08006380883458218862658852980858201049577777777777807835108138 DCCCLXXXIV. 674968127*m*Pi~398351658.2903=
045427783777777777790128 DCCCLXXXV. 716034529*m=
*Pi~422588164.7005046781340477777777774417962441860291339980010 DCCCLXXXVI. 719030124/m*Pi~12024401439.62=
41505212007777777777061147 DCCCLXXXVII. 621527424^m=
*Pi~140.95684806089598726452777777777743042707041979477333208 DCCCLXXXVIII. 626241955*m=
*Pi~369594520.5205404823728994114178548234583512252888415690706660095848850=
996077777777779809 DCCCLXXXIX. 64348120^m*Pi~
92.0573837277362123386597598999887177777777779 DCCCXC. 341446441^m=
*Pi~125.9554035022721548994123522197040088582277152302659755235590777777777=
72070259094666008889 DCCCXCI. 350732439^m=
*Pi~126.59192290355408077044333777777777792778131947 DCCCXCII. =
426710215^m*Pi~131.3419863048522889366777777777711534 DCCCXCIII. 140853929*m=
*Pi~83128956.68606114412404407689355835738554140459001584277777777775 DCCCXCIV. 142426552*m=
*Pi~84057084.92627873531850615376140759164202226058595021593052609208971656=
33_90123456789_38110 DCCCXCV. =
154862005/m*Pi~2589770377.77777777240240835059 DCCCXCVI. 19802=
5684*m*Pi~116870495.731529301756193177777777777964 DCCCXCVII. 230397211*m=
*Pi~135975474.09421777777777709954647 DCCCXCVIII. 909485202^m=
*Pi~151.4070221785787312191264461843613165516643481715002228589656977777777=
77680 DCCCXCIX. 797675067*m=
*Pi~470770652.724880121059622805033875303513341716847777777777326 CM. 975363841*m=
*Pi~575638741.9738872083126783867860755777512772273853495606969220060269777=
777777755672 CMI. =
732573405*m*Pi~432349053.27777777777960820517825859466180005 CMII. 238142994^m=
*Pi~117.7116990982390563360547717831887815390570366735659787831257017677777=
7777710 CMIII. (5098=
96620/Pi)^
m~34.86503318753077724881782783291671665299136770762874888888888880 CMIV. (485298267/=
Pi)/m~822290695.91225646283685936308586897751730684114428786794888888888898=
69 CMV. (538211841/Pi)/
m~911947598.782805307910926787761500461888888888890 CMVI. (2828=
87668/Pi)*
m~16915998.3572927602761370368254429664082998888888888007171 CMVII. (283269390/=
Pi)/m~479972420.4120027936373298882955265588888888888897872910357668900007<=
o:p> CMVIII. (477388809/Pi)/
m~808888888.88888878166185796959390657767800 CMIX. (460744073/=
Pi)^m~34.207399140709948967797706456918041847868435511730624534101088888888=
880489850 CMX. (479483528/=
Pi)/m~812438186.42687200702865525759696443401012797198057726419149023691957=
97078401975074888888888807 CMXI. (362748439/=
Pi)^m~32.704690332193171651934698359789547506074114989233874593807205457888=
888888874 CMXII. (216651463/=
Pi)*
m~12955233.49647420202542506383387873343216228948698888888888224 CMXIII. (319140537/Pi)/
m~540752588.8888888870305317627039912808848 CMXIV. (341798291/Pi)/
m~579143948.535901004879012976384888888888887998 CMXV. 364701311/m=
~1941349968.626928452264401377580811996587992208343380027323788888888884828=
21117 CMXVI. 258032904*m~48473969.08=
8888888880642 CMXVII. 3286918*m~617479.240282132734=
753018070765803656788888888882974 CMXVIII. 9227488^m~2=
0.3450187285406021115505750048743006295941587902273791763870080699260637223=
68375092888888888815 CMXIX. 280299033/m~1492066253.=
96723178472450943961583259018888888888634 CMXX. 305989351/m~
1628818978.8383409409565260869859023152482551679778514415791843122058888888=
8881 CMXXI. 44724272*m+Pi~
8401888.888888893158 CMXXII. 48271806^m+Pi~30.903923318888=
8888884309
CMXXIII. 68745739/m+Pi~365942033.57998888888=
88829 CMXXIV. 370745248*m=
+Pi~69648072.875383058678975841556042557416339730979888888888864668 CMXXV. 402575254*m+Pi~75627646.42210=
85098888888888880976786 CMXXVI. 537026343*m=
+Pi~100885579.9302840753973960757577248995392222088137728819055164654503868=
3475675004888888888800 CMXXVII. 541516942^m=
+Pi~46.862909783928570340744718160448242888888888817411 CMXXVIII. 542635106/m=
+Pi~2888513463.9801526640003655809078558748095834829520888888888879089 CMXXIX. 519654916^m=
+Pi~46.52574447591682795721900181864148254503009931634345189444597989043843=
358 CMXXX. 1515816888888888819844 CMXXXI. 560102391^m=
+Pi~47.1409558446266023755672662014281800953111740690907795888888888872225<=
o:p> CMXXXII. 580797054/m+Pi~3091654210.443064268381833=
152935221888888888879 CMXXXIII. 598104755^m=
+Pi~47.68692844861598679759681487080891157714238888888888509 CMXXXIV. &=
nbsp; 635257967/m+Pi~3381556353.79988888888887656 CMXXXV. &=
nbsp; 705567379^m+Pi~49.09135586388755039950929054088888=
8888821 CMXXXVI. &=
nbsp; 721683995*m+Pi~135575300.412888888888889 CMXXXVII. 728304177/m=
+Pi~3876852782.455596672797469274748291756412837941991732480060849720710922=
534153285348888888888825 CMXXXVIII. =
797990399^m+Pi~50.16629971028877058888028888888888482 CMXXXIX. 830686670*m=
+Pi~156052503.9657977910255241735374672120247849399424596701981704392256344=
158370828888888888645 CMXL. 980611807^m=
*Pi~153.5639612784486006569474354275497764190795862230521755433593540088888=
8888822800491 CMXLI. 774310025/m*Pi~12948851=
888.8888888620120 CMXLII. 99012842*m*Pi~58435247.865764=
65087809658888888888898224588 CMXLIII. 380872090^m*Pi~128.5677298948888888=
88813878252 CMXLIV. 149747219/m*Pi~2504235379.884185416=
669993388008888888888402 CMXLV. 103282934^m=
*Pi~100.6149264126610194448733931687436237420304767593232031302337988888888=
880058848 CMXLVI. 105964101^m=
*Pi~101.1005056398708969214958925541469521957305599752443160754762072312192=
633952388888888883 CMXLVII. 612473467^m=
*Pi~140.5688032003816517796915879402021134047523514066041494468059064154020=
29068988888888886612315689000 CMXLVIII. 641708195*m=
*Pi~378722362.4216082638026744762214374626712804996531107164950405030888888=
88882735883 CMXLIX. 629127718/m*Pi~10520955917.59470788=
88888888098357327783 CML. 695842611/m*Pi~11636634703.027028888888888978064035604247149118009 CMLI. 919003543/m=
*Pi~15368573800.48919190672018547046768597673774233279846359424027656584888=
8888888512 CMLII. 946770651*m=
*Pi~558763656.77107176788888888880911730711 CMLIII. 955402002*m=
*Pi~563857694.3212858662289942043458908096910647327359475034708199724988888=
888883 CMLIV. 990128420*m=
*Pi~584352478.6576465087809658888888888898224588521864600 CMLV. 363733339^m=
*Pi~127.4604732992749220277089692324771156322163254455914969771711518888888=
8888279 CMLVI. (342739371/Pi)*m~204949=
85.4399999999996358777695327429513641191921 CMLVII. (401204203/Pi)^ m~33.32965088=
240077629077203049434142807801381890616923329955933766724559999999999356 CMLVIII. (561675440/Pi)^ m~
35.504288023938346936904759600599478448531575585268380999999999939003 CMLIX. (600656311/Pi)*
m~35917794.656830107328933878694357659817487452445999999999930 CMLX. (524123239/=
Pi)/
m~ 888075833.45665628989509220309670441008599159109999999999541 CMLXI. (287439393/=
Pi)^m~31.305820004815595144419616725241289339244774049018883113829999999999=
660 CMLXII. (245849020/Pi)^m~30.399999999=
997721334 CMLXIII. 575935902/m+Pi~3065777699.999999997=
3581899193 CMLXIV. 615724667^m+Pi~47.93055646724495118=
9126299999999996546 CMLXV. 655582617/m=
+Pi~3489746967.4603188108622463420184840632932662641740576999999999994696 CMLXVI. 740689207*m=
+pi~139145612.7441246764674416299625813170109383132275989410947905360334649=
999999999491985 CMLXVII. 550272798*m=
+Pi~103374054.2304739367127476573878677974388623766447282998302985477579673=
1087819589999999999048697999149 CMLXVIII. 510323907*m=
+Pi~95869269.85045784569125572152878844808714117999999999957664 CMLXIX. 532312292*m+Pi~99999999.994876 CMLXX. 131587586*m+Pi~24719999.99999=
91625132674334
CMLXXI. 136121854^m+Pi~ 36.8731799999999997=
223 CMLXXII. 136137030^m+Pi~ 36.8738864477917592900119=
6999999999943740
CMLXXIII. 44767944*m+=
Pi~8410093.0951944965533201554173807802033446708190854981466821010399999999=
99 CMLXXIV. &=
nbsp; 0.03*(47646565/m+Pi)~
7608855.999999999998080 CMLXXV. 94412374/m+=
Pi~502568690.92701669750398637868493021088444188668734996130849512999999999=
94 CMLXXVI. 526329182*m=
*Pi~310628152.75169209364967182082177964174499999999995799830 CMLXXVII. 535147172^m=
*Pi~137.0495878463804426187803383234394586927986259999999999982 CMLXXVIII. =
540084426*m*Pi~318746201.646744232637895518468336999999999930 CMLXXIX. 236843767^m=
*Pi~117.5907884395550721129095374296919976442699999999998668632955 CMLXXX. 113199344/m*Pi~1893042182.135486503702014=
76667786189999999999141 CMLXXXI. &=
nbsp; 180028142*m*Pi~106248733.8822480775459651728227789999999=
9997 CMLXXXII. &=
nbsp; 998970749^m*Pi~154.099999999998050065256114242200541 CMLXXXIII. 784564148^m=
*Pi~147.2623052732127381787041581129636820284560087009070467120999999999995=
112 CMLXXXIV. 990558812^m=
*Pi~153.8553926984259558533939707599917687965681267384751477571365431372338=
53299999999992 CMLXXXV. 367586169/m=
*Pi~6147174523.2603443607149165605106696813725448518999999999921150 CMLXXXVI. 480416785/m=
*Pi~8034050435.9364031342744577409379999999999248748 CMLXXXVII. 41138=
5235/m*Pi~6879629999.99999926823588054329398222510058 CMLXXXVIII. 246528496^m=
*Pi~118.479450315867631987296973299999999997450 CMLXXXIX. 285450047^m=
*Pi~121.78750619481272061995263933462646971577204759999999999812 CMXC. 201471182^m*Pi~11=
4.071288052934920959999999999180664 CMXCI. 360056284*m*Pi~21249746=
7.76449615509193034564555799999999995360315 CMXCII. 295185069^m*Pi~122.5571845976=
79999999999441737 CMXCIII. 720112568*m*Pi~424994935.5289923101838606=
912911159999999999072063 CMXCIV. 327848654/m~1745178739.314377515986464999=
99999997068 CMXCV. 16273155*m~ 3057069.080029799868207=
7708611449666850503697282896679888888888849 CMXCVI. 70170552*m~13182214.810085888888888880614=
4 CMXCVII. 112215788/m=
~597338451.885208754542892731563326768180920679490270777638088888888887639<=
o:p> CMXCVIII. &=
nbsp; 69415623^m~
29.7230485464482403285191231406408064532394999999999923 CMXCIX. 42.5849847*m~7.99999999999459864615619213=
3 M. (352925589/Pi)/
m~597998072.356712134036438258344831811375751882923120411187076901320773242=
5418160000000000460 MI. &=
nbsp; (441020723/Pi)^
m~33.927400000000002241964512532399929 MII. (397427105/=
Pi)^m~33.270477879985435852360337993450255488922544135804058230000000000099=
04642 MIII. &=
nbsp; (509884902/Pi)/
m~863950356.7416050285471937989319478060000000000016 MIV. &=
nbsp; (246902813/Pi)^
m~ 30.424436515897624330912864132813843346485436939994418396476467752514240=
00000000072 MV. (254942451/=
Pi)/m~431975178.37080251427359689946597390300000000000080856193219020100070=
7 MVI. (160980322/=
Pi)/m~272765492.9078061783683613560859431250566300000000006376 MVII. (202237991/Pi)^
m~ 9.30501903374813894084224683318200000000009773649773 MVIII. (528516977/=
Pi)/m~895520595.00507559609160886361106429299391661924685637664995400872613=
513283869135488000000000028 MIX. &=
nbsp; 28247228^m*Pi~78.86558500000000006699148794009 MX. 31140049/m*=
Pi~520757667.20667545886237133346878924299449208586208732761039891881470812=
414000000000054 MXI. &=
nbsp; 53020331^m*Pi~88.76890581161460498003448830000000000521000781<=
o:p> MXII. 83040629^m*=
Pi~96.57505830732638770860661089275265290722337130000000000577750 MXIII. 155700245/m=
*Pi~2603788336.033377294311856667343946214972460429310436638051994594073540=
620700000000002713 MXIV. 19244=
0023^m*Pi~113.0927187436792200000000009591 MXV. 261604160^m*Pi~119.807935955198919865161218303500000000008069070 MXVI. 283295784^m=
*Pi~121.6143094183314119011765846218865715927378366000000000060 MXVII. 301358019*m=
*Pi~177855015.37872039981288284319940000000000551585 MXVIII. 311400490/m=
*Pi~5207576672.066754588623713334687892429944920858620873276103989188147081=
24140000000000542 MXIX. 349972951/m=
*Pi~5852627192.3398751632453500131575656084497000000000026031916355656599 MXX. 356492473*m=
*Pi~210394183.2316500159394907026894988253695746731082545727285263688760000=
00000044759 MXXI. 44555=
7789*m*Pi~262958615.395940928951434650000000000420 MXXII. 467100735/m=
*Pi7811365008.1001318829355700020318386449173812879313099141559837822206218=
6210000000000814 MXXIII. 547137799^m=
*Pi~137.62128167255967989827342372044881144412750000000000373 MXXIV. 61013142*m~
11461907.041607330821253900000000008292 MXXV. 425683977^m=
~41.78854553040322924713310361980185449070696391938000000000094 MXXVI. 269677644*m=
~50661545.78185262035848501094750377281374593492497784312788600196221450500=
00000000920 MXXVII. 134190617/m~
714313171.47905226977430598814935197527476003295417469374563364204014034800=
000000008539 MXXVIII. 19978475*m+Pi~3753152.3120300000000=
0024 MXXIX. 20347611/m+=
Pi~108312841.03123474558520180001530115140775014658883667589102113491038929=
02520000000000490 MXXX. 72126704*m+=
Pi~13549699.967000000000090 MXXXI. 96917056^m+Pi~34.=
78784513266731487560586384454240000000000333 MXXXII. 180269304^m+Pi~38.70100=
00000000425855445 MXXXIII. 289540422/m+Pi~1541259308.255326189=
448790001000000000006 MXXXIV. 346462437*m=
+Pi~65086312.68294910812866680753329217682853271669211375487048046500000000=
00117 MXXXV. 375731931/m+Pi~2000067319.760=
00000000085 MXXXVI. 425397860/m=
+Pi~2264445173.082214287292635892088117738678404060963018779034400000000008=
156 MXXXVII. 463931971^m+Pi~45.61107882701058868079500=
00000000754444788 MXXXVIII. 488007731*m=
+Pi~91676961.005977282511976631573276893133125156695263800000000002578822 MXXXIX. 488425629/m=
+Pi~2599949745.39995759715654865699025760884020000000000904 MXL. =
493553598^m+Pi~46.10776613000000000066069070583322 &nbs=
p;
MXLVI&nbs=
p;
– MXLX: n
&nb=
sp; =
n/m
&nb=
sp; =
&nb=
sp; -sin npi/m &nb=
sp;
ML. 1865915427060*Pi/m=3D
31203861143594.000000000098537... &nb=
sp;
MLI. 31312917495*Pi/m=3D
523648561636.21630000000000401... MLII. &=
nbsp;
932957713530*Pi/m =3D 15601930571797.000000000049... MLIII.=
&=
nbsp;
9tan(165056479/m)=3D
&nb=
sp; 17.80800000000006... MLIV.<=
span
class=3Dtext> &=
nbsp;
9*tan(6389624821/m)=3D 1.43440159999999997364... MLV. &=
nbsp;
-10tan(4242361875*m)=3D
32.=
9999999999990... MLVI.<=
span
class=3Dtext> &=
nbsp;
-10^5/9*tan(1017264451*m)=3D 6817.99999999999966... MLVII. &n=
bsp;
300/7 log(1691238342*m)=3D
839.0000000000034261... MLVI=
II. &=
nbsp;
9log(2886098101 *m)=3D
&nb=
sp;181.0000000000663617... MLIX.<=
span
class=3Dtext> &=
nbsp;
90log(5497810358 *m) =3D
1868.0000000000110121513...=
996509389
5304542135.50000000...
0.99=
9999999999999993...
1749748713
9314127771.49999999998...
0.999999999999999999998032...
2502988037
13323713407.49999999882841717...
0.999999999999999993...
21993493945
117074075393.50000000089205...
0.999999999999999996...
22746733269 121083661029.4999999997...
0.9999999999999999996675...
MLX. &=
nbsp;
45*log(34007194952 *m) =3D
1016.000000000006746187...
MLXI.<=
span
class=3Dtext> &=
nbsp;
90*log(51299614092 *m)=3D 2069.00000000004232090...
MLXII. &n=
bsp;
225*log(51413739994 *m) =3D 5173.0000000000223131...
MLXI=
II. &=
nbsp;
– MLXVII:
n
&nb=
sp; =
&nb=
sp; 9tan
nm
4685228731
&nb=
sp; 93.291254000000000074..
529840345
&nb=
sp; 5.12500000000001...
5919379448
&nb=
sp; 49.0000000000626...
6388397112
&nb=
sp; 24.5718173000000000097...
9802010416
&nb=
sp; -4.999999999922...
.
CTL+Clic= k for detailed Decimal Expansions