Lemniscate Constant

(Last updated: November 4, 2018)

 

 

Notable Large Computations:

Here is a list of notable large computations that have been done using either y-cruncher or by applications using the YMP library.

Date Completed: Who: Decimal Digits: Compute Time: Computer: Comments:
May 29, 2016 Ron Watkins 250,000,000,000

Compute:  91.7 hours

Verify:  270 hours

4 x Xeon E5-4660 v3 @ 2.1 GHz - 1TB
4 x Xeon X6550 @ 2 GHz - 512 GB
World Record Size Computation
April 3, 2016 Ron Watkins 200,000,000,000

Compute:  61.6 hours

Verify:  73.7 hours

4 x Xeon X6550 @ 2 GHz - 492 GB World Record Size Computation
February 9, 2016 Peter Trueb 190,000,000,000

Compute:  26.2 hours

Verify:  31.3 hours

4 x Xeon E7-8890 v3 @ 2.5 GHz
1.25 TB
World Record Size Computation
December 21, 2015 Ron Watkins 130,000,000,000

Compute:  269 hours

Verify:  304 hours

4 x Xeon X6550 @ 2 GHz - 492 GB World Record Size Computation
November 14, 2015 Ron Watkins 125,000,000,000

Compute:  217 hours

Verify:  251 hours

4 x Xeon X6550 @ 2 GHz - 256 GB World Record Size Computation
October 12, 2015 Ethan Gallagher 120,000,000,000

Compute:  111 days

Verified by Ron Watkins

Intel Core i5 4300U @ 2.5 GHz - 8 GB

World Record Size Computation

Verified by Ron Watkins.

July 5, 2015 Ron Watkins 100,000,000,000

Compute:  123 hours

Verify:  146 hours

4 x Xeon X6550 @ 2 GHz - 512 GB World Record Size Computation
June 13, 2015 Andreas Stiller 80,000,000,000

Compute:  8.6 hours

Verify:  10.6 hours

4 x Intel Xeon E7-8890v3 @ 2.5 GHz
512 GB
World Record Size Computation
April 12, 2015 Ben Hadad 55,000,000,000

Compute:  40.4 hours

Verify:  6.99 days

2 x Xeon E5-2670 v2 @ 2.5 GHz
(32 vCPU only) - 244 GB
Intel Core i7 4790K - 8 GB
World Record Size Computation
March 19, 2015 Andreas Stiller 40,000,000,000

Compute:  15.3 hours

Verify:  15.5 hours

4 x Xeon E7-4890 v2 @ 2.8 GHz
256 GB DDR3
World Record Size Computation
February 9, 2015 Randy Ready 15,000,000,000

Compute:  6.0 hours

Verify:  7.2 hours

Amazon Web Services
2 x Xeon E5-2670 v2 @ 2.5 GHz
(32 Logical Cores only)
240 GB DDR3

World Record Size Computation

There appears to be no computational record of this constant prior to y-cruncher.

 

Selected Digits

Below a list of selected digits. These can be used to verify your own computations.

5.
5.
2441151085 8423962092 9679179782 2388273655 0990286324 : 50
6325633643 4076015811 7414082850 0460591065 9228581868 : 100
3e7e53e7d4 2c1b9e61dd aeb0236785 edae2e5c91 c86e6b5ed6 : 50
8d8f5f225a 21ce002f68 9ed621841c ceabd03b24 e29a059c51 : 100
8879992617 6017339935 6818395424 3919387283 1514152075 : 10,000
4964476589 0407568713 6192562603 5412554264 9665417773 : 12,000
9546103543 0034285567 8329380534 9484834452 5067751464 : 15,000
0314649088 3428067643 1712214534 2415841409 8990743126 : 20,000
2834828827 0229446827 5353348572 3449764375 8674057327 : 25,000
1736884767 2408820120 6210121119 2242507833 7469851918 : 40,000
9265713740 8309577869 9120876497 7175366909 8774039057 : 50,000
8298606523 3214878877 7951165826 7520758009 3462648045 : 75,000
520fb271a6 a544a3c1c4 b95896ad94 ee7b608c74 6d9930578a : 10,000
9f49144fef 1f63664262 02f2e4c315 71d7cc8667 7bdd3a74bb : 12,000
e1654141f5 cd65b019aa 21bc44ce78 c06f15673b dabd7cda1f : 15,000
5d7d8631c7 37756a033d 8ab47fc7d2 6ddfed93f5 47fd2049b4 : 20,000
e9884833c2 eac8c9da24 f0b70ac898 747971725c 18c734ed82 : 25,000
29fd1d3d09 2e1c6b12ff 50532b188e 1e73aa474b 6e4a1b0b53 : 40,000
7b4ca1bdf4 5f921a0423 a17e766b4f 05e7451d8b 3713b87bf6 : 50,000
89b3ae24fa 1559f1f8e4 33a1c7f0da 44b02e18f3 2fddc5997e : 75,000
3972743040 3375400491 0937890673 1203280305 0323336121 : 100,000
2085228405 5640554594 3198789695 8384169077 8953301096 : 120,000
8228622530 8073116114 7164446036 6985949245 3757098246 : 150,000
0786744286 1423452046 8646660053 8530995651 6656564573 : 200,000
1215643352 1880663704 9282451085 9728722619 4027883484 : 250,000
5564589608 5880614633 1005913750 9472173265 1346890248 : 400,000
9850263695 8296245785 5937803789 1992362604 9038045486 : 500,000
1617236740 0825133097 9079707821 8614109100 5570453931 : 750,000
f1b1b0cb70 43c2db64fc 792d3d1026 be5e5503fe e581f6157c : 100,000
316f9972bb 54bc4aa0d7 a9ea6c4b2a 93851ca2ef 0096e96313 : 120,000
5fae9998a3 d1d2ef3cb1 a880ae5b08 695ea86be3 94f857713f : 150,000
d636a74000 1367ebe743 10056942a6 46710987ec 2315fe9bce : 200,000
3454d08f37 6dd2b6601b 29b954c70d 66c75eeb19 745faf60bd : 250,000
89b2fdfd8b d346d98156 3aa04911dd f6e68c42a7 ddd5d570c7 : 400,000
d0469d4294 f39ce905b4 9b5fed981e 59a51f1a93 8395c02dfb : 500,000
da41231cbb 161f4c55e6 ed6099cf9f be9ee1c04e 4b99c6a341 : 750,000
2175790110 1909474845 0435200797 5013935368 3648089791 : 1,000,000
7913529847 2160803933 7846456630 5282080413 5122997377 : 1,200,000
2925891461 3602982210 3793915454 7850284415 3475609603 : 1,500,000
3546248684 3826899953 4041038500 5193346003 5217087931 : 2,000,000
6737406332 2311461302 2009712683 5450933891 6665268558 : 2,500,000
3838307325 5976825349 6821821547 4319570669 9934557873 : 4,000,000
3417490622 3735508638 4151595271 9845161928 6554023086 : 5,000,000
5479224874 3745978116 2103053375 5202043892 2313396129 : 7,500,000
58c15523e6 becba354db 2873c30afb cf959ca033 128fe273eb : 1,000,000
073566a0cd ae8e5f6407 34af29720c fd4e37fccc 1c390c3589 : 1,200,000
586aad74ee f1525a55dd d3fb6958f2 86178b3f3e 9d1857481b : 1,500,000
98031531e2 969375d0d5 cd7665ad2e ab65200881 819903843e : 2,000,000
5ca033d996 99109dfe83 78929d7253 9f371aad65 a12ed59d73 : 2,500,000
d84d2ff539 ce16216e64 59c554a73a d19de17524 bf3c345b65 : 4,000,000
ee15e9fb9d 7c5cc852f5 8f6facb52f 36edf9fa84 cc06c0c262 : 5,000,000
eb456ba310 44a8f60d3f c9c501fb00 30c6982540 d30228bad8 : 7,500,000
9404156069 4330123266 1516084259 5124160084 8237413280 : 10,000,000
1823592684 7499175446 5413479970 7981574838 3699127022 : 12,000,000
6220282780 3966185369 4213776750 4075806789 1058024895 : 15,000,000
1973495640 8527619534 7037161544 6972168034 7529885129 : 20,000,000
9138603363 9029142035 2243166492 2838524343 0627119064 : 25,000,000
2858569106 8240213651 2118586289 8185541187 3773193407 : 40,000,000
9818340715 8372984052 5542040003 1330886297 6781634645 : 50,000,000
1017874556 3827554243 7346614111 5194179500 6903021122 : 75,000,000
5cc832251d 39e80bd3f8 c1ce89ef3b d46f01ad7d 1558ef9d1e : 10,000,000
f5e3d60777 028c35e82c ca54e1f79c 6d20e83305 7c9624725d : 12,000,000
b0b405dceb d603ea25d0 936a42f8d5 d334787953 92c1c46a99 : 15,000,000
f306487d00 79211630ca a8e35d45cb f7892dfe6a 6c8e10b776 : 20,000,000
18b8d4dbad ff0e44c07c f8ac13f392 20f23e4b86 d2614d6549 : 25,000,000
7e0540d1d5 af86852e32 ef1163401b 96c2002466 fed81caa90 : 40,000,000
45a45c6bf9 22cba710ad 90f7b12edd 2621c28833 70a0c4b4ba : 50,000,000
c094eb7f03 0e3431cf70 1e3e4e2ba9 75d88e0203 99ec2c92dc : 75,000,000
3867403504 0080738943 2361430351 4142570037 6241334147 : 100,000,000
3472343275 6907594086 5118679132 5723824539 2777622176 : 120,000,000
0960294689 2916642546 3401526582 5974466004 5334181771 : 150,000,000
2446763401 5929770556 2063304161 9870381018 6450042477 : 200,000,000
2335995896 1772788654 5403426071 3163801373 9054554181 : 250,000,000
4410742225 9195017838 1455137017 5155711009 8212955239 : 400,000,000
9011174287 9259926206 5596710279 0836225086 4406345766 : 500,000,000
4637895381 9001691756 1592469946 3838118533 2841568662 : 750,000,000
524782f583 ed84d766d8 dace8b6241 15aef38583 88ed85d0c6 : 100,000,000
1387dbd6fd 21d5675395 7ef708c7e8 848d5a58f2 24d06e0525 : 120,000,000
699502068f cf6a74d02f fd3e039df6 f19d658523 59471764c2 : 150,000,000
b43f7c56db 10e97411ba eb144f47aa 0dbfd2a90b bff9988dc2 : 200,000,000
5889a874b7 45f9058f8a 898e15e9d2 99e31525d1 1c232d94d1 : 250,000,000
91b655604d 3e5a5cff57 fbdc1bc83a b90932d5d5 d604df2634 : 400,000,000
d079c90987 60a6e24ff8 b48b1731a2 59b9331278 0bdf03f1f1 : 500,000,000
51e0b280d4 5a623c980f bbaf070f66 579d23bf1f 3fd4b4061e : 750,000,000
1319544651 5315767931 3397982384 1374935489 6405298443 : 1,000,000,000
6010618644 4735958913 5801833620 9969611548 5413489027 : 1,200,000,000
3090036068 2443743688 6385287456 8252815839 1077041491 : 1,500,000,000
2115817240 0386889152 2661958958 5669450397 6535367085 : 2,000,000,000
4957955952 4965830438 3985840124 1189658753 4068558793 : 2,500,000,000
4292312078 6818340804 9251135091 0512913750 2299235074 : 4,000,000,000
6315303263 0853858186 2193127069 0380603962 2248748574 : 5,000,000,000
0736801509 4479652073 6116424780 2402250477 5547124594 : 7,500,000,000
0e103e548a d866576390 b3cbef992a 4872d7b99b 6062b4ea62 : 1,000,000,000
4fe8c23d3c dfe9800655 01b8df4f32 051e05651d e96fb9d5cd : 1,200,000,000
401404fe96 8696eaf8bf 05640a2124 ae3bc2be11 4b9dc7e493 : 1,500,000,000
4d09da8c5c c13291eaf9 17d0c1a16a 8805388064 7d45704ad7 : 2,000,000,000
d27755f2af ce9546597c 3dd493b186 b5ce380f76 76782259bc : 2,500,000,000
1caebcc224 22b6c5337b 8ed2429dae f44e91e3f4 377b694d3d : 4,000,000,000
3e40e199d7 b0c30df1a5 12839ffdfc f02c8a0308 3da5cbead7 : 5,000,000,000
dbcb214ad0 969778e848 ec04a081d6 9d5a4470f9 4ba0e1ac05 : 7,500,000,000

8750938332 5382321656 0419742517 3646459228 6284950888 : 10,000,000,000
1193419253 3626236696 6600932551 4573757182 4655560628 : 12,000,000,000
3069826489 5804608381 1504255498 1604775980 4594177681 : 15,000,000,000
9442919405 0343000965 8277859640 0657484992 4909466364 : 20,000,000,000

9452495901 3620780111 0513301871 0478590941 3297267317 : 25,000,000,000

0938413649 4605862848 1703125760 4551981176 9745814812 : 40,000,000,000

5418283156 8814838103 3302140255 2180153084 8394614199 : 50,000,000,000

9281688341 2257430243 2821435373 6999132830 2065064605 : 75,000,000,000

a576d62d60 539b1f2af7 ee05c61d30 afb9d6f8ab 8e43b1ee50 : 10,000,000,000
9b9b9b17d6 57633f27b1 04bb7e54ea 63a29601d0 e35456674a : 12,000,000,000
46bd85801d c47087ef9c 2dcc3e36dd 15f15bb256 345a6accae : 15,000,000,000

4edb56db2a 8d59818f15 6e4c7c12c2 4387ea69f5 5e0feeebf4 : 20,000,000,000

f8466df300 1b1f727927 71b38650ef b470484757 2a95f8780a : 25,000,000,000

f4b9926d1d 307328b13e 64be3eaf33 4a7fd64b2d 5433c5a786 : 40,000,000,000

47af859740 3666cdd166 c95d240196 5700cb883f 9fcc99f713 : 50,000,000,000

655ffffeeb f993dd0b8f f848efc4a5 5a1903bd48 11d462ee2d : 75,000,000,000

5053897748 1589620093 1892231326 3827682530 2821098536 : 100,000,000,000

9208376668 7189286061 8759734969 2480605138 8791164665 : 120,000,000,000

9245229980 4145554338 5463902656 7732506299 5223459045 : 200,000,000,000

8777657038 5401699140 5181869694 9764579303 5116943536 : 250,000,000,000

4711656c14 d9937c9232 4c7f928176 74ea775bfb 0ddd7e97f4 : 83,048,202,350
d7fe249827 d049d21750 2d9

Download Digits

Downloading of digits is no longer available due to the massive bandwidth requirements. Your best bet is to directly contact one of the record holders and see if they still have a copy of the digits.

 

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