Square Root of 2 Square Root of 2 (Last updated: January 9, 2017) 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: 2 x Xeon X5690 @ 3.47 GHz 141 GB 4 x Xeon X7350 @ 2.93 GHz 96 GB 2 x Xeon X5690 @ 3.47 GHz 128 GB 2 x Intel Xeon X5482 @ 3.2 GHz 64 GB DDR2 FB-DIMM @ 800 MHz 64 GB SSD (Boot) + 2 TB (Data) Intel Core i7 2600K @ 4.4 GHz 16 GB DDR3 @ 1333 MHz 1.5 TB (Boot) 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 Below a list of selected digits. These can be used to verify your own computations. 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 583350

4674 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 9b8c9

28445 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 f

4c6ddb6c8 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 8

771960684 : 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 5

469326109 : 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 : 120,00

0 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 e1541

d7ad4 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 901

8134882 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 55a

2088ed3 : 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 00d6

d2a7fe 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 7506750

500 : 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 dc9f7800

2b 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 28

06328607 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 6f

0c5af9cf 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 : 1,5

00,000,000 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 75

42130664 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 d62f6

f9ef6 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 24

3f575f43 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 108

5438554 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 : 4

0,000,000,000 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 cb6f4

3e10a : 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 9720d2

5eb7 : 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 697845

9733 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 4590787

748 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 35b94131d

2 : 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 8126542

432 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 

0496246429 3732739156 1241322979 1982501722 3750018644 : 5,000,000,000,000 a553344094 1e5db63a8d 6c2a2e689c a4f6378d81 0c92ffc033 : 1,000,000,000,000 4e8f12ce10 f68e57ec2d f80984d43b 8257f32f88 98acef64e7 : 1,200,000,000,000 a9ea5462a1 3311f538e7 32b4c6e996 d9b5d44484 bbdbd3d

5e1 : 1,500,000,000,000 8c1984c803 348e439848 e6c11bafd6 93009f620d a75598f252 : 1,660,964,047,450 eae02875a3 b92968cb16 63b1c7b977 6b12f0

Question: What is the square root of 400,000,000?
Answer: 20,000