Square Root of 2

Decimal Digits: 2,000,000,000,050

Hexadecimal Digits: 1,660,964,047,486

By Alexander J. Yee

(Last updated: August 17, 2015)

 

 

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:
February 9, 2012 Alexander Yee 2,000,000,000,050

Compute:  110 hours (4.6 days)
Verify:  119 hours (5.0 days)

"Nagisa"
2 x Intel Xeon X5482 @ 3.2 GHz
64 GB DDR2 FB-DIMM @ 800 MHz
64 GB SSD (Boot) + 2 TB (Data)
8 x 2 TB (Swap)

"Hina"
Intel Core i7 2600K @ 4.4 GHz
16 GB DDR3 @ 1333 MHz
1.5 TB (Boot)
5 x 1 TB + 5 x 2 TB (Swap)
Pre-Alpha Testing of
y-cruncher v0.6.x

World Record Size Computation

The binary digits have been deleted.
The decimal digits may be kept pending
sufficient storage.
March 22, 2010 Shigeru Kondo 1,000,000,000,000

Compute:  193 hours (8.0 days)
Verify:  98 hours (4.1 days)

Core i7 975 @ 4 GHz - 12 GB
8 x 1 TB HDs
2 x Xeon W5590 - 144 GB
16 x 2 TB HDs
World Record Size Computation

 

Selected Digits:

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

1.
1.
4142135623 7309504880 1688724209 6980785696 7187537694 : 50
8073176679 7379907324 7846210703 8850387534 3276415727 : 100
6a09e667f3 bcc908b2fb 1366ea957d 3e3adec175 12775099da : 50
2f590b0667 322a95f906 0875714587 5163fcdfb9 07b6721ee9 : 100
1537904877 8808300220 5833504674 6555323028 5873258351 : 10,000
0757905942 4347046448 9575440238 7369360474 0130860360 : 12,000
8859205640 6907697263 9093391116 1368466669 9318068382 : 15,000
8535224334 9189341495 3731854617 7563908506 3014980593 : 20,000
9849982146 2735902524 2435180332 5179402961 3213416361 : 25,000
7988627673 8138291077 7335923984 7810548093 0369833513 : 40,000
9125235456 4527298776 6200762220 3714877325 3707040015 : 50,000
9183008394 6450010530 4448525482 1041097069 0831910012 : 75,000
f739b0243e 8e1a34133b 51fa74a448 9b8c928445 bc5ebec930 : 10,000
7031bc1da5 b076f8fc00 c1ac15510d 10a219ad4a 048a91e1f4 : 12,000
b25c914a60 b5ac8b304f aaf9d39d25 6af178f86d 0d3f91833a : 15,000
d1b44bb962 b28e2aa26b a5e75a615d ee8ff3585f 511982bd2f : 20,000
9774769e90 80c8ea7f26 57d38a7f60 58284c8cdb d0e5b95737 : 25,000
63fb88f0bb f4c6ddb6c8 c7ae8f1741 6d6b6ac757 41c6a03384 : 40,000
fa6dd95ead 54fecce3e8 449da21acd f7b0abc6b9 12dd2ff15e : 50,000
b15460cd67 9254f48cf3 302efd6b1a 40c24cec47 3969c7decb : 75,000
2493706886 4601669535 5591598401 8377008180 5610147523 : 100,000
2811273273 5466476141 6623353891 3780827866 8771960684 : 120,000
1375287200 9058138994 0893905424 8856202800 6786979163 : 150,000
9632210467 4387295397 4019531357 8071689878 1126955755 : 200,000
8733074507 8796891276 0493038785 3010987721 7604144162 : 250,000
7725952339 5829545700 1937421416 7802286357 5469326109 : 400,000
4138793684 8407355347 7481718093 3952555319 8229026068 : 500,000
1713124080 7158714265 1548279947 1486965993 2706386470 : 750,000
9cdff2f507 9be7aa6fd5 69dded57dd adaa0c5b05 2aa0201689 : 100,000
0c82e865a9 bdf8d1b9ba 41b5245549 eb4c452923 08e3483316 : 120,000
ad969dff23 407bf29e35 372a68b5a9 bbcd866e5e e0fdd97c72 : 150,000
b0ce3852b7 887eee979e 204449fb58 8c5b1df16e cbbc81e7c7 : 200,000
f91c0d6c91 64210f8d6c 51fece1ee3 7ae6669f1a 6ac46a12a1 : 250,000
b158505940 a2ab694710 3945ce94c2 ba4e336633 fd12cea0b6 : 400,000
14816ee60f 1c6a1ad6eb a5672d8613 e1541d7ad4 8b07ba9376 : 500,000
d8f96073e7 a50d851dae 0f46a67fda 2d6c4d7ca6 d18c5d0df8 : 750,000
0401237494 7972946621 2294899384 2044193016 9048412043 : 1,000,000
9778007351 6840703611 9880671114 4617006128 9129770238 : 1,200,000
7190368387 4817638184 2392013179 8373188406 0148221461 : 1,500,000
2373406899 9959144833 5208402310 7319121399 4376127612 : 2,000,000
1449637640 0975035034 3939173248 4713478044 7106574788 : 2,500,000
5257870129 7883193436 0676370671 5992791335 1497751108 : 4,000,000
1239484532 1635481109 2138527795 9018134882 5342260927 : 5,000,000
4075615972 4439197553 7939782823 3291208425 7667465543 : 7,500,000
58090b9f0f ffd624882c 6e95b23fad ce4931416d 32ef135899 : 1,000,000
07f1a40be8 7107c531ce 3368253e3a 7ca6fa18c6 07cb5dbde3 : 1,200,000
51594b60bc 9b89fb21f1 747918ed76 d2a7ff3b09 55a2088ed3 : 1,500,000
9660593103 328b9326f9 bef8842930 84810cc4fa 979e2503d5 : 2,000,000
a074cd35fe 69526ea9e4 37a38a4319 e7a8b6fcf5 f2e8decda7 : 2,500,000
dd7079dcc4 97744132b7 e87d7e3249 9886ac3197 8ca9ca166d : 4,000,000
1479ba24e9 12e6f31e1a bcc35e2be6 b729b84bdb 7360c4e934 : 5,000,000
00d6d2a7fe f1d08a35e1 4e344c8f69 2a0251453d 640f1fb556 : 7,500,000
6630211470 1184377687 2480508054 1235727278 7213158971 : 10,000,000
5643142481 3286835364 5447049737 2580416220 2910752454 : 12,000,000
6381124257 3710830347 4546251252 6606293495 6720667127 : 15,000,000
6956451375 2104060732 7466563593 5138109759 1503948085 : 20,000,000
6605583451 3351767406 0300665913 3388821269 4265509668 : 25,000,000
2135771591 5457672608 8511914031 6968323693 4420142016 : 40,000,000
8024305657 4869266832 3801441832 3692737380 7506750500 : 50,000,000
3671606184 0340633831 8845819152 2211470450 2291551984 : 75,000,000
5555f98882 6dc01c2050 709b8ab43a a7505a3ec3 65d0c4b289 : 10,000,000
03a398669a 7dba2f7ac3 19d14061be 4f3483fd90 23f5f39a05 : 12,000,000
324e0259da c7af5251df 65360d0819 5826d71017 bf46739620 : 15,000,000
73d52abc49 5add506138 dbcb06fd21 71f8d59c3a 9d1c6d7849 : 20,000,000
d44e47bd69 7e75b676f2 915e5d0425 840ee479b6 7655990114 : 25,000,000
30271db1d3 d9dff19342 a67c0fa5bd e0138d479e 3b5fe610dd : 40,000,000
c6f689baa8 af13ad925d ab5b4f666f b7c58dd6a7 7f24c32de7 : 50,000,000
dc9f78002b ad208301ce 9cf9ffe2a5 9653377132 b81cb25ab3 : 75,000,000
4248960513 4510236789 7774484472 3443287604 2328949711 : 100,000,000
5291531622 2839448259 0804413580 9668044539 6235887753 : 120,000,000
5057955651 3867873880 7543905830 7186773014 3045767793 : 150,000,000
2806328607 9391922619 8293485599 9551830317 9610411484 : 200,000,000
2807711257 9138886498 2100656693 1427637776 2112465513 : 250,000,000
0315384841 4340940589 2595206834 2109727377 5098966522 : 400,000,000
6223998888 8209890470 9387329237 4155118846 1031649968 : 500,000,000
7211510517 2702536793 1473074803 5846660552 2813669720 : 750,000,000
d07a217120 368cc2dfd5 dad55f960a 5c5cd3d033 aa16475e4d : 100,000,000
9e272062d4 a73c7d5735 e0bfb1ff60 8abf0d4e47 1a86dcd941 : 120,000,000
ccb90fbfcc 9343f7f669 863cb54c72 e9b3b6545e c8b27ad2e2 : 150,000,000
d1de41b7f0 19005b4454 93f0741b63 9ffb8a665f 08066ab164 : 200,000,000
455f480ab4 e1041a2360 d8fa1755fe de5a3e51b6 014b764b6e : 250,000,000
181018e931 2245fb5326 b0061a6a44 869749ead1 775b7a22ed : 400,000,000
d8ad994071 aa9472b88f 07d3f6d787 d59bc24e43 9016456964 : 500,000,000
6f0c5af9cf f6e691e6ce f3c59d0ebc 80f918e2d3 cdefb9d03a : 750,000,000
1701216532 8140121075 0295863181 7477180528 1585852742 : 1,000,000,000
7412699364 8976759932 3596077884 4733243453 8708112778 : 1,200,000,000
0475599136 6875123285 2626329193 1397696180 0368269404 : 1,500,000,000
4267657287 3516709200 3062847865 1396590580 0762261455 : 2,000,000,000
5597064111 4814082762 7487173302 4140053419 4096833828 : 2,500,000,000
1359345783 7899330841 3727430045 2680007412 1889859616 : 4,000,000,000
9156049471 0757694591 9442564369 7542130664 6128862463 : 5,000,000,000
6041549620 0181261335 8611881250 0678412266 2468071106 : 7,500,000,000
8e899a2059 26b19777f9 69a08ad1c5 67fb20f845 6cfcc4191a : 1,000,000,000
84dfa46eae 15c5340225 a0f28b25ae 0c99cc60f7 a2a3778554 : 1,200,000,000
4ab26ff0d0 234fdcd20f d62f6f9ef6 edb5e7c623 17b19cec47 : 1,500,000,000
5b6aebd4e3 752e249e6b 002cdc9a3b ebc2bc4ba6 4ca670b6bf : 2,000,000,000
c938037937 55664d8812 f8276114f9 306f76d85d d059b66f83 : 2,500,000,000
0572bec8aa 96dd49b015 4d86a01fec bbaee52dbd bd448b6475 : 4,000,000,000
1775247a3e 8de624f94e fdd8146d7b 243f575f43 5b584251c6 : 5,000,000,000
e44342b144 e07c5d3408 68d48c91c5 cb8536df61 98d2a07a11 : 7,500,000,000
5250836258 6378469245 0310196801 1178369494 4997699614 : 10,000,000,000
9773441798 3363680470 8085745588 5720457927 6763479567 : 12,000,000,000
8846399548 1085438554 3728264423 1777606508 5279777306 : 15,000,000,000
5927528851 3185330975 5463156133 0470024125 7479799548 : 20,000,000,000
1033809110 7903126234 5289866469 7962003034 4733067389 : 25,000,000,000
0770942208 3049469306 5608565936 0175936564 2105843189 : 40,000,000,000
7369902152 7351567646 7772943549 3225422995 5419813589 : 50,000,000,000
5522822791 5452631310 9742794789 9916755303 2866743357 : 75,000,000,000
c3c723c670 dd96d2d1ef 6aedaab948 f28c5591fb 50a89a4447 : 10,000,000,000
e67fcc119f da20ea34c6 1402087ab7 6ac234c1f8 cb6f43e10a : 12,000,000,000
2ae47c38d8 f07a18246d b8052f6884 ed56b3e153 301489aaa7 : 15,000,000,000
c60609c967 1227b49f51 bfef8aec88 1d20eeeb83 5c37c70352 : 20,000,000,000
126c5b9db5 e899b2084b f8bcfe9ac5 7560a2d841 ca950c0482 : 25,000,000,000
4bceda5b62 665a44fad4 7bd3bbf3e7 7a7e833064 9720d25eb7 : 40,000,000,000
35f56f53b4 88d9b297bd 7dca90c934 a4ced1eb79 e77607474c : 50,000,000,000
2d4319e529 fc024fd4ac d9749cf09e b4adb089a1 3092ce62e8 : 75,000,000,000
2656534913 2805033537 7635592374 8494719052 9057879069 : 100,000,000,000
6123193146 5030231434 6220418267 6978459733 0138281201 : 120,000,000,000
5372441692 7946901106 9587360051 0420216836 7632348644 : 150,000,000,000
2019018420 1548065632 6484813125 7753162141 0376854514 : 200,000,000,000
8177659896 2464901205 6770240091 1433197384 6462511735 : 250,000,000,000
4590787748 4601609423 6783340019 1695500134 6579081649 : 400,000,000,000
1761325365 5626627238 5185621463 0266198685 7213452552 : 500,000,000,000
1139988744 4517399255 8854391658 0892786125 9273846065 : 750,000,000,000
b062dccf46 2801cb3f70 10f1a61f7e bbc6dd8424 9d1c9b17c1 : 100,000,000,000
1b15987f0f 4e8e7caafb ad42f4bf28 4b09ed5b7a eed9fd8e6f : 120,000,000,000
1606d75cdb c9b0b3a0e5 2e1337544c cc43200079 5dcbd3b9cd : 150,000,000,000
af1c4cbf7f 3e3f9760b0 b21c3e2bca 60df69d7ba 1572253ac3 : 200,000,000,000
8f49ff6591 0aa07993f7 e31e77f383 d30319d235 35b94131d2 : 250,000,000,000
81b2cdacf2 22e1a41803 4b792ab152 ff58e69cde 0963ef964c : 400,000,000,000
ba25de33a4 ccd242828e 61e0773092 8543e96cb3 c580168c0c : 500,000,000,000
e76e1dc734 d5502a10e2 8068ce3157 32b8c06d1f 13d2044a24 : 750,000,000,000
8664279163 3981364569 5307868920 8126542432 1137539121 : 1,000,000,000,000
3861703057 0962662686 2752435564 2112240018 0022483669 : 1,200,000,000,000
1488979490 7550865475 0543365846 7890635318 2541875388 : 1,500,000,000,000
0149791701 1493915827 8779561530 8592946120 8148022769 : 2,000,000,000,000

a553344094 1e5db63a8d 6c2a2e689c a4f6378d81 0c92ffc033 : 1,000,000,000,000

4e8f12ce10 f68e57ec2d f80984d43b 8257f32f88 98acef64e7 : 1,200,000,000,000

a9ea5462a1 3311f538e7 32b4c6e996 d9b5d44484 bbdbd3d5e1 : 1,500,000,000,000

7126192818 9351463167 8152197475 1861099387 7950572411 : 2,000,000,000,050
8c1984c803 348e439848 e6c11bafd6 93009f620d a75598f252 : 1,660,964,047,450
eae02875a3 b92968cb16 63b1c7b977 6b12f0

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.

 

Back To:

Questions or Comments

Contact me via e-mail. I'm pretty good with responding unless it gets caught in my school's junk mail filter.