Zeta(3) - Apery's Constant

Decimal Digits: 100,000,001,000

Hexadecimal Digits: 83,048,203,203

By Alexander J. Yee

(Last updated: March 7, 2011)

 

 

Notable Large Computations:

Here is a list of notable large computations that have been done using y-cruncher.

Date Completed: Who: Decimal Digits: Hexadecimal Digits: Compute Time: Computer: Comments:
September 17, 2010 Alexander Yee 100,000,001,000 83,048,203,203 Compute:  148 hours (6.2 days)*
Verify:  366 hours (15.3 days)*
*Neither computation was
done in a single run.
Details here.
"Nagisa"
2 x Intel Xeon X5482 @ 3.2 GHz
64 GB DDR2 FB-DIMM
8 x 2 TB Hitachi

"Ushio"
Intel Core i7 920 @ 3.5 GHz
12 GB DDR3 @ 1333 MHz
4 x 1 TB Seagate
World Record Size Computation

First large test of this
constant since February 2009.
February 15, 2009 A. Yee & R. Chan 31,026,000,000 25,766,535,268 Compute:  45 hours (1.9 days)
Verify:  44 hours (1.8 days)
"Nagisa" World Record Size Computation
January 21, 2009 A. Yee & R. Chan 15,510,000,000 12,880,776,188 Compute:  20 hours, 18 minutes
Verify:  21 hours, 1 minute
"Nagisa" World Record Size Computation

Selected Digits:

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

1.
1.
2020569031 5959428539 9738161511 4499907649 8629234049 : 50
8881792271 5553418382 0578631309 0186455873 6093352581 : 100
33ba004f00 6213837171 5c59e6907f 1b180b7db1 7493405dd1 : 50
49c7ab12d7 f6b8d04e65 3afb2ce61e 94a06c3009 9882191755 : 100
5493902129 2677196352 9302514802 3562729223 1895042350 : 10,000
9976554971 0236098910 1304025511 2684663782 5903855732 : 12,000
7562901597 7984158651 8567105233 8898704208 0845406415 : 15,000
7898408705 2868251412 1719226676 1637166504 6279432372 : 20,000
7755862911 9970639543 8293927284 4996442330 7735015032 : 25,000
6384433858 3314878358 0030198240 7829275556 0655973603 : 40,000
9039911560 1575671813 1424237607 3706558940 8431599844 : 50,000
3241400454 5116738229 4041393947 3697662419 9465023676 : 75,000
04e99fd478 bc1337cb4b 2f19ac8120 2927e79dd3 8f4cd9fdd8 : 10,000
b94454debc 2b67e279b3 974d196832 e28ec71885 9381469bb2 : 12,000
527ff917c5 894e98482f 9c232bd587 086e0432d5 bd2de99e87 : 15,000
299ccd2853 b1baa60041 e714e33f44 f507c622e4 fc1e31ee73 : 20,000
a1fbe3c069 d3c517cf88 e2c62ee79e ba101ebe22 99e4b0cda3 : 25,000
a615c8aca2 080075e686 0541c562c5 811db980b0 f0e5c81bd2 : 40,000
92e40b329f 5f43acb2d6 7a41a2f550 696ce8b532 119fbc1ac4 : 50,000
32672bdcd4 347f438595 4504dd3600 04c135ae30 3771d5a907 : 75,000
6569829862 0910546671 0530337326 1058165460 5937250931 : 100,000
8951351711 7961209506 3452543206 4642100002 6013703488 : 120,000
2742125690 0688198476 3140366298 3588378480 0314905458 : 150,000
5283796554 0586149881 4981081155 8169443690 5543961781 : 200,000
6391514445 5196345000 1218994913 2229529285 6046448281 : 250,000
8420573295 5548599150 6689423754 0586097972 9641725695 : 400,000
0714389671 9328223856 7736516547 0771475263 7233528453 : 500,000
7524487387 6251887291 3527441574 3455113496 6496457055 : 750,000
b3526ce1a2 d327a8c1fa 76969063ec befcee8a53 75d89fa4db : 100,000
a3071a724b 547b1686c2 ee6c51be39 7f330726f8 463f889c35 : 120,000
53db2671b5 1bc4b1c436 52ac7fb890 347351837b 0290e35518 : 150,000
181dc64d90 f7a0871dde 0b683fe51b 593ddbc8db 316fd95de1 : 200,000
1d6c81c8a3 052ed5aa34 f31bddce02 6c132b672e 781904f92a : 250,000
744fa88958 76f7aa346f 284d9a83c8 d83e56bb58 5480f171ed : 400,000
a1224fd1e2 1b0ba999d5 8ce68e9c03 7c5cc6e7c6 6e7577e777 : 500,000
1c87b238e0 0ce64cadf6 91911237cc a57cb41bcc 85b06b36d7 : 750,000
1051138770 9516492845 6979262990 3396410301 9345707332 : 1,000,000
6458925610 4807591798 8741819257 6267463044 8938206935 : 1,200,000
2219198575 6797896693 6034402662 7698594852 6862878409 : 1,500,000
8515458694 2580847439 0534576005 1611836790 8762674577 : 2,000,000
8347668172 6199234208 9198333493 1307053760 4899533168 : 2,500,000
9652368581 1457411457 6693402521 3288262121 5781626351 : 4,000,000
9909598966 9705413286 4704944778 0964883408 2454251135 : 5,000,000
2967128421 1046804588 8442571221 3722282949 3963620747 : 7,500,000
e80f9a461d 6431735ec8 482990d639 ed7fd9e25a 456a804004 : 1,000,000
575f09e596 a037ac24f1 0147af541e 7b9190a9ec edf4547948 : 1,200,000
32c219b5c4 94462a473c 87d7cb9779 aba141038e 0c69d897f2 : 1,500,000
98afe50848 45040b6850 0221a52886 f7ef64620c d67c2cd3a4 : 2,000,000
48d66c98a4 eef9bf4a11 1d38e46872 5e6ceca636 ec717433e5 : 2,500,000
4647cceede be4d00ab72 ddf181b5d6 62df7c8c21 d558c56c18 : 4,000,000
8e220b61f0 7ca1941b2f a935e32c90 11cbb73d31 c68fcc069b : 5,000,000
1b112c5a9f 077f085e65 65317db8e0 ca1eba0c87 9b16f36ac6 : 7,500,000
6536326854 7751850215 4162649882 3388705816 2791929459 : 10,000,000
5852936769 2787755584 0818219794 6829259085 9744985974 : 12,000,000
1540507321 6907356221 4676481213 9641021036 3946435229 : 15,000,000
7910912644 8075627600 5344159209 7127334473 9863341104 : 20,000,000
9175659292 2228283350 1345007052 5944157563 9682078920 : 25,000,000
2493866301 8636120317 7162909367 5645825760 3156001269 : 40,000,000
0661379779 2074645206 0921093298 5911217792 1885212137 : 50,000,000
3673147889 2351791530 7747400635 4110969890 8246921525 : 75,000,000
df7019c3a1 5b40683951 0afceb7cab 71c1000431 2776efe93c : 10,000,000
3efe2516d4 fc50b55c24 9e7d4d8ccd ecf2fedb14 0e8aa7582f : 12,000,000
a79da67f52 98796274af c21664abc9 6d7f33ae0d c2fc78e105 : 15,000,000
aa5290f15f d518e44d26 9db71840bc 7e4a81faa2 e7cb33892e : 20,000,000
4fd440333b 6bdaab3e83 b2fcf37df9 96d5454c7a 0258bd5b68 : 25,000,000
e76cb0f2de d3c0061b9d 940bc2dcc0 0e7ecc1a37 160a2425dc : 40,000,000
9a60e780ce 3f9e84f3c2 377957700c df8f9a4fb7 a6bbbb633d : 50,000,000
62b87727a0 a46dcb951a 9636288c2b 6efe9223b6 0300ff3128 : 75,000,000
6390889495 1670122026 3631163443 5367630813 1384169574 : 100,000,000
2445632029 5553475432 1588167873 8158028456 4628648999 : 120,000,000
9872250447 0419912435 5443560715 4149521123 5799165691 : 150,000,000
5153948838 2291972658 2735377504 9168909825 2239468630 : 200,000,000
5173489978 4094706248 3271507086 9323357621 8048269968 : 250,000,000
5730478871 1210891128 7154610234 8661099204 1863066411 : 400,000,000
2143058026 0606384133 7531510771 0504351872 3856418441 : 500,000,000
6451209742 6274864439 8150772370 1575734366 9974600528 : 750,000,000
dec323b907 6a17065e4a 55ffcedda3 22da9d0afd 44a3736534 : 100,000,000
cb980001f9 7fac4a1d05 5e193a7097 82f466f854 eaeb4abec8 : 120,000,000
334dbdf96a 12c6ee282f 0730c0858c c22b22ed67 9a1f81e6c8 : 150,000,000
1685a1796a c1105e8d38 d1fb1587eb 94d5ac452c b944ec9851 : 200,000,000
407bf7c32a 3a0608abff 8731d7decc 9361ceaebd bed43ae715 : 250,000,000
0db1e1b497 cf4885f962 364a6e8fcf fdd6e5b187 b264c89fcc : 400,000,000
5ba4d927ea c46a4e6726 9366bfe099 954517292b f98a16927b : 500,000,000
e383f36a2c 6d911b10ad ab20ea7076 fa4d636a2b 574e59b585 : 750,000,000
4723533989 0548528483 5841193176 3958634641 3696119130 : 1,000,000,000
7903831814 4505155762 0387835766 5208146501 4475423445 : 1,200,000,000
6844798532 3689120328 6943651268 4133565283 0702783822 : 1,500,000,000
9495564499 7856155470 4860615188 2924485312 5024324014 : 2,000,000,000
1329364918 5074179127 4081864509 8877204341 8965627169 : 2,500,000,000
4574638671 9544078172 9039663012 1519585424 2357684459 : 4,000,000,000
0240335582 8448518023 8812803055 5517563336 2143203319 : 5,000,000,000
8489850975 7506858568 8807287274 4461871152 1560747760 : 7,500,000,000
135767ffda 533daf4dad 07e39c656a 9d9c52d5f4 82189ebf44 : 1,000,000,000
72c7765641 3a73221726 4cee90054d 464074bdb2 e36691922d : 1,200,000,000
89ba6c44fe cc8bd14dc3 2fa1a948a1 701bf3d76b b1cd662586 : 1,500,000,000
af10ceb139 36cc1cab7c d8fb5d6206 cfe2c2b467 87896f0790 : 2,000,000,000
f0d84b2b57 1e465086dd dce6cba3dc df8ec91dd8 d51c34de5f : 2,500,000,000
1f79f6a24b eaf615f9cf 8d327d2230 f434f8c047 c2de785919 : 4,000,000,000
423a11d70e 31697859cf 68774b303b 5940aad345 4f932afaf3 : 5,000,000,000
aace548bbd 3d10ddd555 94cdb702e4 19906c22ab 11b3010118 : 7,500,000,000
4611627813 9661398385 4868390259 4180411678 9670205724 : 10,000,000,000
3255780591 5064871628 3354527907 5736764473 6895220667 : 12,000,000,000
6745781791 1180152958 0978521773 3321220180 5758768753 : 15,000,000,000
5449495103 9083579883 1717428736 4773509561 1839636574 : 20,000,000,000
0706182887 2885284164 6643287748 9962883244 6028724944 : 25,000,000,000
7017768066 3016937954 0616886511 5341978266 0015098725 : 40,000,000,000
0597351506 6628299918 7214055828 1172626169 6560151990 : 50,000,000,000
8442968761 1258768934 0453678083 3799334118 9795222705 : 75,000,000,000
0d7bea3ea8 7062cae3a8 21104075f0 a35b1c8be2 12078e4574 : 10,000,000,000
787a8ec9bf e7f6bbd3bf 97b04422e0 c637de01e4 124263bb45 : 12,000,000,000
948ad8309e 592274e7c6 220b5ea907 a6cbeef119 f82a963511 : 15,000,000,000
cbb519a0a0 eb59512ba9 1ce8fa8860 6514685aa0 bd86cb0c5e : 20,000,000,000
9425a0cd20 da90e95653 a5e87c3725 14cf7624bd e5e8bfc209 : 25,000,000,000
5de47661cf 406cb324ec 9cb7d53df2 bc42224626 99c9886bc2 : 40,000,000,000
58dabd0d90 e7e0832c68 e44fd5a578 e77e8cbeae 727aeb643f : 50,000,000,000
655a421f56 0c5b79cf00 1cd4b9bca3 563084db0d cdcd44595f : 75,000,000,000
2893095957 1847887440 0958656051 9572975532 1708591678 : 100,000,000,000
2187075448 4393332002 8744540498 8070509304 8122953600 : 100,000,001,000
998a82cf12 c3a9c25404 cf8867a035 db72e73c17 a8267edce9 : 83,048,203,200
8cd

 

Download Digits:

The digits are compressed into multiple .ycd files with 100,000,000 digits per file.

File # 000 contains digits 1 - 100,000,000
File # 001 contains digits 100,000,001 - 200,000,000
File # 002 contains digits 200,000,001 - 300,000,000
etc...

To view a small subset of digits, just download the file(s) that contain them.

To view the digits, use the new digit viewer. (download link below)

If you download multiple .ycd files, keep them in the same folder and open any one of them with the digit viewer.
The digit viewer will let you access any digit that you have. And if you have all the .ycd files, you can access any digit.

Radix: Digits: Size:
Decimal 31,025,000,000 311 files x 40.1 MB (12.1 GB total)
Hexadecimal 25,765,704,786 258 files x 47.6 MB (11.9 GB total)

Download via FTP

Download the Digit Viewer (Required to view/decompress the digits.*)


*Note that the Digit Viewer that is integrated into y-cruncher is faster than the one provided here.

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