Natural Log of 2

Decimal Digits: 31,026,000,000

Hexadecimal Digits: 25,766,535,268

By Alexander J. Yee

(Last updated: March 24, 2014)

 

 

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:
February 28, 2014 Shigeru Kondo 100,000,000,050  

Compute:  44.4 hours

Verify:  49.7 hours

2 x Xeon E5-2690 @ 3.3 GHz
256 GB DDR3 @ 1600 MHz
12 x 3 TB
World Record Size Computation
May 14, 2011 Shigeru Kondo 100,000,000,000 83,048,202,373

Compute + Verify:  142 hours

Intel Core i7 2500K @ 4.8 GHz
16 GB DDR3 + 6 x 1 TB
World Record Size Computation
March 25, 2011 Jordon Adams 50,000,000,000  

Compute:  6.68 days

AMD Athlon II X2 @ 2.91 GHz
8 GB
 
February 21, 2011 Alexander Yee 50,000,000,050 41,524,101,228

Compute + Verify:  61 hours

"Hina"
Intel Core i7 2600K @ 4.6 GHz
16 GB DDR3 @ 1333 MHz
1.5 TB + 4 x 1.0 TB

Stress Test + Verify of previous
computation.

November 26, 2010 Alex Roberts 50,000,000,000 41,524,101,187

Compute:  13.1 days

Not Verified

Intel Core i7 720Q @ 1.60 GHz
4 GB DDR3
World Record Size Computation
February 4, 2009 A. Yee & R. Chan 31,026,000,000 25,766,535,268

Compute:  24 hours, 10 minutes
Verify:  15 hours, 58 minutes

"Nagisa" World Record Size Computation
January 7, 2009 A. Yee & R. Chan 15,500,000,000
12,872,471,368

Compute:  12 hours, 34 minutes
Verify:  8 hours, 20 minutes

"Nagisa" World Record Size Computation

Selected Digits:

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

0.
0.
6931471805 5994530941 7232121458 1765680755 0013436025 : 50
5254120680 0094933936 2196969471 5605863326 9964186875 : 100
b17217f7d1 cf79abc9e3 b39803f2f6 af40f34326 7298b62d8a : 50
0d175b8baa fa2be7b876 206debac98 559552fb4a fa1b10ed2e : 100
7813083351 0705646029 9256956159 1340185660 1359655560 : 10,000
8387222275 1480296494 2565556051 8848333213 4365862493 : 12,000
9600064498 5999218627 3618785817 7261276313 3630132781 : 15,000
1719308474 6297690125 0623552136 2020143037 7863539655 : 20,000
5147977460 9532830766 8859433184 8148747259 2876091992 : 25,000
0077848095 4707318887 7483807634 2320020048 9992871805 : 40,000
4027370509 0768498592 9474251729 1166233614 2139883594 : 50,000
7074561281 0097016246 5985614537 0745729335 6036360309 : 75,000
df8095bbd3 ebcfa154dc 76d63b2871 1b95d6c846 7b0290e7f5 : 10,000
d297a17c86 1ceda25731 ac03ee52d8 a20e633a25 1ba8bf05f9 : 12,000
eee17d7c99 ecf1c065d9 b2c0e5f95c f02c71cba8 0e2adaab72 : 15,000
82409098f7 2b6c03d211 0aa41eb061 a14828c922 ed612b14e0 : 20,000
fa111804ae c6fccc6cf8 b8d840ee8f fdac4bd7cc 8fe7f77885 : 25,000
9beb04bf80 961383d8cb 4a1697e79b 624bb73f4f 32fcce7e40 : 40,000
cde5463001 74c33b9c75 426184665b 97e3b0d7ff 0475e8d945 : 50,000
dc7a760694 57ced08960 bb401607f0 734213fd02 4ed8be34d8 : 75,000
4894364643 0684801753 5619623592 0220546948 7696859273 : 100,000
8304488786 8009885178 4738341475 3455029029 4413578186 : 120,000
7424155195 4100981429 4592685004 5806150579 3442896283 : 150,000
2469278169 8791367340 2549463415 8023956593 9562135199 : 200,000
7787570550 9347960904 9270818756 6741833677 4931003767 : 250,000
2499845989 7283655777 7722505275 4787649020 1448412696 : 400,000
3918639786 9263923784 8867230769 1906907040 0554385421 : 500,000
7478474088 1305805279 6778733511 2710358659 6808472489 : 750,000
f8948cb617 3abe137e4a 4ba5c616d9 16bb0abc3c f9d7a7bd05 : 100,000
57348ff5ec a10f8161a5 10bba543cc badceb022b c529b196d0 : 120,000
de0ea9ac41 011fb92905 ee8f739407 69ecf9cfec 88f3d3c9ed : 150,000
cf0e6e1783 40d8fbc253 c0660cdb3f 6a39d412c1 87ad3b0916 : 200,000
ffe5a321df ffaec6c937 7dcf1e7df5 1498b168cb 747f18f43d : 250,000
5ef6bcd46a 05886a862d d9eec6ab13 7266c15ce5 cdbc901c00 : 400,000
ba26b8d8a8 ba9cbb83c9 5d48731987 b4d6b52ad1 74f4f6e228 : 500,000
6b18931e3b d747d9cc93 ada9e5c053 28715ad8f5 8612242a14 : 750,000
6855056328 3593608313 8974778744 1838015390 6808836541 : 1,000,000
6597418416 2682592461 2709603708 0406047172 6865902144 : 1,200,000
3957367268 3469162473 7632682653 9762660208 5207222897 : 1,500,000
4790986499 1492553184 2217346076 8257641070 3980595605 : 2,000,000
7196441606 5659651525 8289767201 2607653463 1434284120 : 2,500,000
0923814662 7138068165 7651081865 2818437683 5057654168 : 4,000,000
2539398440 1420452635 3051660916 1243737439 9053132077 : 5,000,000
2319749386 7178428642 3672427196 7586780972 6234770878 : 7,500,000
aca54be4eb f461717719 3ba5186cf4 4ee796d688 fea5428004 : 1,000,000
bc89ca9488 e7c8f1bdbe 886380ee93 053dfcae75 aa8ca9c9ac : 1,200,000
e906d5d498 dc43461dde ac1815349d bba4d1ff70 5d6d5641f4 : 1,500,000
1e8e27acc1 88731bf56a 077f3632ca 39eb2dc8ad f6f6ed42b3 : 2,000,000
6049946f15 5f53eadf56 76eef481e6 a0124c285a 2bd26620b2 : 2,500,000
48cf846521 b02b3b78ac 7e45c227a1 4e8259071d ccb40f50d5 : 4,000,000
ee426c52ab 930c4b6ad4 cfc40d691e 7ab4218428 c7c9aa52cb : 5,000,000
289e7c33cc 0a12b7e590 40bd84e671 4f26b3886a 6e6e2b0c2d : 7,500,000
8593219712 5721157885 0148886107 8013565260 2465385883 : 10,000,000
9627207999 9022228345 7323338899 3210257844 2348452885 : 12,000,000
4607679401 4705336159 1567456069 3638877986 4308197414 : 15,000,000
3883154320 8184124744 4245595484 8367174008 6083786621 : 20,000,000
5668489228 8754764844 3071823766 7932072454 8969374380 : 25,000,000
5361761167 2904371389 7514096307 5995830223 8445769609 : 40,000,000
5606184982 3765123611 9389084757 3997762258 8547107395 : 50,000,000
1470654661 4015161086 4180014085 1357469733 4594142816 : 75,000,000
4cfce22993 df81ae9ade 6782847177 639ec7dc28 fcef2364d8 : 10,000,000
ebd4945d2e 6ceda88196 7d4cc9f064 4bff5d222a 62cd4c388f : 12,000,000
62e4247bcc 9c2d7a506c c5c4fc5f76 da438a8291 03ae7d661e : 15,000,000
3e5222aa8c 5b2e0fc73c d9b6050fe7 bc70db2ea2 d43b02f888 : 20,000,000
efb1095f57 2de52dfc08 4134bf9859 39f24d8412 d97b6a2d72 : 25,000,000
1f37ed4b58 8cbc10ce7e e0c6dc5335 1f1498394f 69323b3839 : 40,000,000
fcb5ceffb4 d03ec5ff8b e650343d83 6c131b5727 8baaefe4bb : 50,000,000
b763573920 26b906c88a 9fefa5e575 7375c4abeb eed60df0b4 : 75,000,000
7614865957 1934107142 5385438281 5205631537 0712912477 : 100,000,000
2822426731 0702510729 2666151473 9145988136 0410794821 : 120,000,000
0455409377 2925264028 8972754412 3940647165 2696122245 : 150,000,000
9411544068 4248002286 7196383778 1512901929 8874573418 : 200,000,000
3907276861 9398218529 3818624949 9335747740 0578420916 : 250,000,000
4984879199 3760709960 3535059247 1083844650 6328495170 : 400,000,000
2656163134 5950472519 8764782057 2080084350 9026442223 : 500,000,000
0839706262 7675052020 6494170583 9367770511 3265040893 : 750,000,000
81393fa23f f797cc1fea 21d963bd75 d621589513 62ea680d4e : 100,000,000
677d70ab96 74285773da b96b01605b c860a8efb6 e80456e5d0 : 120,000,000
a4dc84bcb8 32e1e0351c 73e47d7693 98b26ae632 c8291a7c1c : 150,000,000
db68385067 1d8ff91a25 12aaa118b4 e3c5ef100e 6d696479f5 : 200,000,000
33695b274e 809c97d656 8e5bfe64a1 6a5d5e463e e0ea6529e1 : 250,000,000
d2f4415adc 906e0631d6 9aa511bc43 32dac2cbad e1953215f7 : 400,000,000
d0623b36b6 f1c3edc59d 4a3b1e858b 73ed55f3e7 0bfee48097 : 500,000,000
dd6c939c77 661d6bd9d9 cc0053b501 e47375f9f1 6db409f55c : 750,000,000
0831925828 8288950777 5767947724 3662795268 2253356129 : 1,000,000,000
6486524418 5942277980 1528158166 8050447863 8819479750 : 1,200,000,000
5704017051 6274056708 7897881596 1530714089 0996265051 : 1,500,000,000
3625641511 8052178469 7576833953 3012652290 5165061494 : 2,000,000,000
4226476476 6228882029 3489065009 5120530343 1330156884 : 2,500,000,000
6252316819 1265959488 8417998774 0327758038 4338471712 : 4,000,000,000
1637273847 6148421140 0769073130 6891027979 2485842280 : 5,000,000,000
5276110534 3606199960 7858740441 6373693141 1927306419 : 7,500,000,000
f39b9b90a4 5b69f04aff 42ab1ebf1d dcd8942809 a2679ad9cb : 1,000,000,000
08ab6a99c0 c585df6da3 5e79e181b1 740275886b 4f4b83f720 : 1,200,000,000
032a5a23e7 8e5eb2a01d fc2abc4c1e 68b7057768 f34f937cf7 : 1,500,000,000
af7982dd0a 06d24c2268 e20bf861f9 96048d2840 30a9eccba6 : 2,000,000,000
66ce3254e7 a63fe3f71f 46554262ab a0bbe77590 c1f9ee28b4 : 2,500,000,000
83712eec50 c69ffdf7bf fa61d42a50 0cec742f43 fb977bb33d : 4,000,000,000
7d021c4a2d 2af2e37508 f9a1a12b1f 9c292f10c0 cf7698d9cf : 5,000,000,000
febee00665 52ec7835b3 ea37622a8f e7b5f4eb64 ef90bf2c57 : 7,500,000,000
2019537391 6013163504 8771891911 8835336975 7625282823 : 10,000,000,000
8431152540 2163678001 1495549107 8930962613 2335600959 : 12,000,000,000
7564802863 7343417614 3179610018 0739112357 0642566279 : 15,000,000,000
9126593741 9872196963 8036033159 3958059954 3824998007 : 20,000,000,000
5794267659 9397130902 0885838096 7322407714 3462167418 : 25,000,000,000
7ee986a58e bd5f98e310 aa9ad06d89 e8ef9fb34f 4c3a526f9f : 10,000,000,000
2348db9aad 24435247b9 7302627c72 5ee1732077 993a9c190a : 12,000,000,000
2172813179 97e5441696 b401889043 d329cccf25 934f01d238 : 15,000,000,000
eaef12f838 43f7282ab8 711d85bece 51b91a946b 623d33cde7 : 20,000,000,000
166fe6e3e5 ad32f9cf41 9fe3281a9e 145ab88148 4afb2fd6eb : 25,000,000,000
0126939195 4073687566 1318029450 3949557373 2134366414 : 31,026,000,000
e2519b5b06 cc0e72383a 5ddcd86942 eebe6cedbe 95d50adbe0 : 25,766,535,250
62ca88ff60 1c0a8a27

Download Digits:

The digits are compressed into multiple .ycd files with 1,000,000,000 digits per file.

File # 00 contains digits 1 - 1,000,000,000
File # 01 contains digits 1,000,000,001 - 2,000,000,000
File # 02 contains digits 2,000,000,001 - 3,000,000,000
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 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 31,000,000,000 31 files x 401 MB (12.1 GB total)
Hexadecimal 25,000,000,000 25 files x 476 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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