Euler-Mascheroni Constant

Decimal Digits: 119,377,958,182

Hexadecimal Digits: 99,141,248,298

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:
December 22, 2013 A. Yee 119,377,958,182

Compute:  50 days

Verify:  39 days

"Nagisa" World Record Size Computation
Validations: 1, 2
January 8, 2010 A. Yee 5,000,000,000

Compute:  17.5 hours (0.73 days)

"Nagisa" Torture Test for v0.5.1.
March 13, 2009 A. Yee & R. Chan 29,844,489,545

Compute:  205 hours (8.5 days)
Verify:  269 hours (11.2 days)

"Nagisa" World Record Size Computation
January 18, 2009 A. Yee & R. Chan 14,922,244,771

Compute:  96 hours (4 days)
Verify:  134 hours (5.5 days)

"Nagisa" World Record Size Computation

 

Selected Digits:

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

0.
0.
5772156649 0153286060 6512090082 4024310421 5933593992 : 50
3598805767 2348848677 2677766467 0936947063 2917467495 : 100
93c467e37d b0c7a4d1be 3f810152cb 56a1cecc3a f65cc0190c : 50
03df34709a ffbd8e4b59 fa03a9f0ee d0649ccb62 1057d11056 : 100
8114928588 9936287064 8875584389 1300471868 4679858165 : 10,000
5386463056 0323609977 3123960870 2975422709 4838618748 : 12,000
7332821362 5794810721 4101357247 6633003767 0216064419 : 15,000
0467425661 6952576526 0045251561 6639412091 8749889442 : 20,000
8037510492 8987185740 9343914409 1293682675 4327314198 : 25,000
3710042227 6695090934 9747661890 8660301237 2495375104 : 40,000
8210091111 0021321773 4640509215 1901683196 4255508908 : 50,000
7022691576 2744282491 4051634920 8220074623 6128898075 : 75,000
183d0be2e1 978234b785 af3d7ec9e1 5e183917d8 89a7f22929 : 10,000
ff51230748 67c6286dde a6b8f1f689 c12f2318b4 19d85d255b : 12,000
44c6708e92 70dd3d3525 0c5ac702b6 c3e5b4cbb5 ecd8148fa6 : 15,000
00d899ff19 e207989788 36f36a70e6 fcdd9b0d55 985b851321 : 20,000
672e90f0e2 d053095b48 bd7fcb29f3 2f03e1c071 e6659ce975 : 25,000
d92098c828 1d4d327c4a 0de53ad668 09b66159a3 52cef9567a : 40,000
52a6f7d750 96344bed00 78bd71f1b9 6e49510c32 b37254cd49 : 50,000
7996a3650c ace3d3f95b 1f5e8e5522 584456d3fc c6d2c686cb : 75,000
1047268037 4597406753 7163886808 5634031633 1811093897 : 100,000
1597029414 8580638159 4740077841 0425049716 9206717870 : 120,000
7154739372 8345942396 1150986055 3420310463 0903597599 : 150,000
5361153105 0464467684 0602707801 8506995408 6556009394 : 200,000
4761715301 8091245909 3094996864 8289466507 3305891387 : 250,000
5479959406 9786810285 1109199629 9070240388 9001827944 : 400,000
1939435594 5478231265 7674661931 5226606570 0985096574 : 500,000
7973611180 9532238705 1365738139 4166331607 2221851779 : 750,000
50e2a026a6 971e550b76 b22443ed4f 55402cc4a4 c160e2f6f9 : 100,000
c8d109a6a2 b99ccb2ee2 41cc40fba5 116b5afdff 4b0231923a : 120,000
afa45c59f9 0e419bc79b 3ac5d5c9a7 f120132ce7 a03af7e135 : 150,000
8ab22f7dbd ad9f1244c9 5e9c56ee0b 6ec4f6b884 d31684a78f : 200,000
75c3382e9c 3b2e41db24 ab89a452c0 2369b79063 fadf66b50c : 250,000
99157abc5f 0e4ee5fe35 546b5ca0c2 e44b91acf7 fb30728c74 : 400,000
64a9d46a46 3f0935a6be fa3b71938e 610a555550 600077613d : 500,000
2425adcc3f 0991e144ec 081322d8f0 92325578db f1e7eaaf4d : 750,000
8260095962 0244740592 6145484641 9114868713 9175027262 : 1,000,000
9135697706 1631975738 8703795309 2957097208 3306370605 : 1,200,000
6212822582 5334258676 0721300816 4878949383 6481431828 : 1,500,000
8665915990 4641700764 6178984552 3635404480 6017397155 : 2,000,000
3148696304 1706982018 7962185758 9268594578 2515268436 : 2,500,000
9265317287 9813815116 1984204259 0674744501 5347839097 : 4,000,000
2454658425 3557483532 5378861421 5642031505 8329197205 : 5,000,000
6404844431 7393963905 0544875304 8691275455 2542588762 : 7,500,000
5725aad4f6 b3e799d6b6 0b21c1316a 8f609dad99 a73486e3b5 : 1,000,000
ff8c2f0a85 ae73107210 acb004d2b6 8cb87fa932 93765dbbf9 : 1,200,000
bcb093b5d1 7124922786 3b662a8f2b c6f7824d81 d2527a17cd : 1,500,000
f11b19afbb c48c5aa5eb 415d293d12 7a26917e71 0c9d5116cd : 2,000,000
7fb1305e79 3509e53fae a1c81df400 1498b6a899 0450104bbe : 2,500,000
eff26d0c2c 5569c85bfb 74842236c0 9c0a6ef09f 12c481b948 : 4,000,000
62689a3dcf 173fc9aa00 4e40dfaf6c f44e242d1f 9df3d488e2 : 5,000,000
18fef353aa e6739ca311 6ff4c7438e 0a42e5454a 9d498b756e : 7,500,000
5590871037 5620817836 8181429271 7858674351 5442285800 : 10,000,000
5242911057 4444341178 0577190514 0475417603 7271599116 : 12,000,000
3888352659 2812355524 3785250423 9811098685 8825256944 : 15,000,000
2886569613 1653320503 1198792616 0632013054 0860003799 : 20,000,000
5546912160 2830938248 4031810025 9922802102 4069569197 : 25,000,000
7129857287 6531812316 1828246364 1604005617 5866782154 : 40,000,000
2577438442 3763153989 0754066026 2795885487 8323153320 : 50,000,000
7897958954 5320495924 5928334972 6195308407 8797544809 : 75,000,000
ed9571956f a4edb3f10e 42e52c6ff7 3f326aedda 3fadbd7a6c : 10,000,000
43fe998ac7 d98dc03b1a fd1325fe3f 7821992475 05214d7218 : 12,000,000
e132979efa b8952aba59 569d87fbc7 145d7ee15e b1dbfbd7ee : 15,000,000
eb04bcdf2f 6674899210 f5bc2d7f1e 0ee9ef8397 c18f0accb6 : 20,000,000
60d3c443e6 5b3d1b599f e809c2a8ba 76e68c443a 2c0da4cc71 : 25,000,000
3a5db5c2c8 02718fcf1f ac3d007ede 9c9c0d9386 b7c76a1f8d : 40,000,000
b5b4eed86f ede848bc44 3be0e846ce 0d0b893979 99e3c90d7d : 50,000,000
9cdfe3cfc8 e7c14e8be9 84cc734a86 c0bbcaa186 3ac2d3000d : 75,000,000
4549653039 2070524653 4585035763 5467240546 7900236813 : 100,000,000
1082585914 5547208776 2479356395 8792607861 9438946032 : 120,000,000
5986541961 2972650052 5842800989 8286455228 4719869204 : 150,000,000
7418404117 5069381008 1900668717 8330991763 2104679432 : 200,000,000
0992370214 9839089942 3078669167 4584546712 4534265077 : 250,000,000
7688410185 0122468413 6396951192 5342492948 3924181672 : 400,000,000
3670771753 7381294952 6090734811 5227078298 9698166346 : 500,000,000
2122483009 7360388042 3368581933 6606680013 4379048502 : 750,000,000
4635106e9e f7c5a93a6d 6f519d5a35 5b1eebb68f fbc3bdd7e8 : 100,000,000
55e417d517 0d118f6c19 11bd8ce5f5 0b326f69c4 dc227250b4 : 120,000,000
0e6e703d7a a425d072c4 4a2075c26b a839ae15fd 4b21ecc1da : 150,000,000
e123553089 f1f13f1311 194038bdf7 f22be640c9 5055f66ca1 : 200,000,000
bd50c310f2 0cf9539464 9b5bfb03a2 fccdf3b2b7 6cc286e679 : 250,000,000
e69fb1c993 5b244653f6 8d4b428ef7 223a4adff9 2517f569e8 : 400,000,000
2d2907e0e4 b2bc71e24f eafa125e27 45c523a2b3 152f97b78f : 500,000,000
5f6794a716 c2c90ab2ce 698f3a8c3d 0acac2e1ea 142338c747 : 750,000,000
7330170575 8477834782 0300396751 5965264392 0727319046 : 1,000,000,000
2903725953 4920539435 9655000745 2002405841 0692704597 : 1,200,000,000
8633154082 0613882049 3086864224 6016293077 4106244881 : 1,500,000,000
7562844538 5463472701 7675676164 9119050588 8719876080 : 2,000,000,000
8596843537 4780184222 2439689053 7777755301 5690149183 : 2,500,000,000
9700796881 4945229095 8270205807 0575460621 5802028736 : 4,000,000,000
5521925098 6532827138 5440791182 4402494197 7757905055 : 5,000,000,000
5623029614 4308931132 3080112499 8914796170 3829650843 : 7,500,000,000
80677700a3 2a75a96ddc eca4e7ff6f 5f1cb619d1 a530538349 : 1,000,000,000
bc4f4410a4 558d65c8a9 90eca0746f 3cb1c46fc3 be6848d6a5 : 1,200,000,000
cf98d7ed5a 7d857a53cd 5db95d075a 20ce517eae 349f9e83c7 : 1,500,000,000
09af618161 018f498dc9 4785da923f 11c19cd482 3f8199bfdd : 2,000,000,000
7e30e8c37c eae557f521 b3f5fb7504 b342e61e14 7b1e9c9899 : 2,500,000,000
c75ed1e735 8ad3e77e66 bda2851de0 ee8a750ede 950568c266 : 4,000,000,000
264497a31a 25f0ca2dbd 1483958c69 798545c578 6c772b07be : 5,000,000,000
53177f2084 2861e2c773 49d061ae8c 9c5f6619aa 1b75f6c44d : 7,500,000,000

9480352978 6159587784 2222483455 9283790956 0146035179 : 10,000,000,000
3869695252 1805296649 9662884303 1398736445 1947358328 : 12,000,000,000
1584552079 2144325674 9252041967 1303074223 3818532863 : 15,000,000,000
0023013590 8991694249 0850955112 9268776842 2997598005 : 20,000,000,000
9650300197 2447567181 9040898374 3208616772 7549664676 : 25,000,000,000

9097386760 0901526798 5315899822 1969879131 0683441082 : 40,000,000,000

7486097682 0047229885 3583387868 3315583600 0554222269 : 50,000,000,000

5141810355 5553099192 2283502484 3655013228 8536386019 : 75,000,000,000

8e52332dd1 81b9659c8c b4b2a0f4c9 18b7c61e56 fe09816df7 : 10,000,000,000
1c2676fe54 5a6f601b38 47db718572 6a57684265 335acbc633 : 12,000,000,000
aed2534e9d 1888553918 f9e34d36ca b9ac33bba5 11df732cb0 : 15,000,000,000
8f3f363127 d8f19e4242 6f6c33e111 fff5c03425 de5725a6e9 : 20,000,000,000

e914f75837 92783f58f0 ade86279e8 2e8750e33d 3e642dfe35 : 25,000,000,000
4f18ed731e e7d8c5fc3f 6750860979 dc5600e300 be368d78ae : 40,000,000,000

f7b06df85e 64c0e263f2 7e0fb5ee78 131d243696 0363cdb3ff : 50,000,000,000

fdab30bcbe c72a25a795 684a3a4da0 ba78c01fe2 c41411a8b5 : 75,000,000,000

5782466870 6013043709 5532469652 1338067208 1726621882 : 100,000,000,000
 

0719057218 4004513092 2451662351 2784900389 0531029301 : 119,377,958,150
7333293453 4511611365 5610762447 27

a5e77ee4c7 b994e9daa3 794080f708 423b8c3308 c5f89a1e08 : 99,141,248,250
4345d39ad7 14cd78f24c 67aeb0e946 8e8bd53789 044355f7

 

Digit Statistics:

The "Digit Hash" is a redundancy check used by y-cruncher. For a number x and the first N digits after the decimal place, the hash is defined as:

 

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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