Γ(1/4) - Gamma Function of 1/4

(Last updated: November 4, 2018)

 

 

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.

 

The current public release of y-cruncher (v0.7.6) cannot compute this constant. This is new to y-cruncher v0.7.7.

Date Completed: Who: Decimal Digits: Compute Time: Computer: Comments:
October 29, 2018 Alexander Yee 50,000,000,000

Compute:  15.5 hours

Verify:  19.1 hours

Intel Core i7 5960X @ 4.0 GHz

64 GB - 16 x 2TB 7200 RPM

World Record Size Computation

Tests of the custom formula feature.

October 27, 2018 Alexander Yee 20,000,000,000

Compute:  60.4 minutes

Verify:  149 minutes

Intel Core i9 7940X @ 3.6 GHz

128 GB DDR4

Prior to y-cruncher, the world record was 10,000,000,000 digits by Steve Pagliarulo and Shigeru Kondo (2010).

 

Selected Digits

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

3.
3.
6256099082 2190831193 0685155867 6720029951 6768288006 : 50
5467433377 9995699192 4353872912 1618360136 7233843003 : 100
a027f88fdd dd479b38a5 0a5146a98f fde263f754 66ec0db04b : 50
9b6d8bc9f6 949e5401c5 7361c8d1df 8b30cd89cd 5579ce046f : 100
3729411676 5564982363 4323294717 0724365145 8377677007 : 10,000
5645190159 7197777076 4913319977 2854937263 7814557853 : 12,000
6383645070 5074056975 5535401997 1383493663 6032347412 : 15,000
2915080131 5177208281 2743729110 7084796052 5216924593 : 20,000
1730634724 5101928114 7833619855 8561511196 5620166599 : 25,000
6780073400 4732419146 8249129822 8402927732 1152206716 : 40,000
7645019261 3742431982 3837919366 4186329949 3400091655 : 50,000
6175304399 2276868733 0715403531 8810289630 5268418116 : 75,000
208263d75c 5e8ffb4ad2 844d92559e 0470ef32a2 3510766983 : 10,000
7596c50273 c903468ba2 ca2f8e4dd0 07c615bf0c 79aef37cee : 12,000
6c137345b1 993fd6eaa4 cfe88ccb90 c2c5ef1a84 9c94c1b6a2 : 15,000
8a4722c8b6 fbe18e0845 4ef56a52a8 8692c38b01 2e72920048 : 20,000
2db7c2875f ed789dbcbe 56473036b0 3985ca9c04 cab6cf20fe : 25,000
58a2df2474 2c073e2a5e dd9dd4c306 621500ec35 66c636c104 : 40,000
63aa1f7ccd e185271f5c 3432c21fa9 f01bcdb2da 236568231e : 50,000
513608f3d5 d7a3177cd0 b2e91e06c8 76e0e6cb87 e843d2f638 : 75,000
9795092063 5859924691 0175719524 9206994106 7027417141 : 100,000
9492522400 1277275655 4350601941 7948972861 4724702207 : 120,000
0326816363 5386741437 5887309999 5033935998 7726824949 : 150,000
8016363696 0043935597 5740048979 8426197928 5186823738 : 200,000
8997348187 8585968599 5470278705 1072529223 6299260153 : 250,000
0710466348 6449948422 9870155595 2355927344 4884399505 : 400,000
9425157785 4347056092 8889390629 3738673645 0091126465 : 500,000
8447388444 4861042657 2358103037 8069261869 9572967764 : 750,000
c4a0167ecf 4a8c0c18d0 6d7b84bede b51c0c4ac8 9d315110cf : 100,000
159bbe6035 282940ac25 61cdc88161 52ab3d4c5c a117dac2a6 : 120,000
d45b795c1b d4a48872f8 cb657c7379 aa4d27f610 322f6a8d03 : 150,000
6b983afe6f 8ed661641b fa87e02975 75fb965eea 223ea30cdb : 200,000
10f1f3581c 8dabd5761c d2eac34c84 a506298ab7 64e9a77c25 : 250,000
3c3c3a2000 998f7e7d10 a00ddc9570 2a838314bf 62a1bd2f65 : 400,000
8056f2f151 c202371e74 3b4c4540ee f3f91134d2 9f5b4ec996 : 500,000
e929624e86 30dd507ddf 9889ac9484 3247415c54 322fadb76b : 750,000
0722684276 9834112446 6310675555 8154624101 9463055874 : 1,000,000
9209489968 0398457949 4484234540 2616369370 5547845450 : 1,200,000
7644993518 5589337017 2759784444 2865108648 9114093803 : 1,500,000
2282565704 6264250450 8686430092 9874983636 7680375504 : 2,000,000
9274099259 6034017446 6401512185 8469058373 8666099842 : 2,500,000
2960693881 6680212486 4183607872 2893676350 9073327438 : 4,000,000
7605826468 7056598264 0853679234 9415299474 9219798828 : 5,000,000
8764269005 2714936727 0614143923 3533233235 2216358533 : 7,500,000
d2ef6c0626 007607304c 12b1dc8e54 51b314b250 dc3968b6a3 : 1,000,000
c8c6b09e34 e4a2ec2b93 1e05c32acf 6d988bd5db a6d6635d4d : 1,200,000
62ef971e6d bcff94b808 18c4abdb59 c86755a329 b7857441dd : 1,500,000
dd13ce0b03 d221d0c5e0 39f58a807a 929af67d26 28e11a6597 : 2,000,000
df355fec37 5a10d9d2d3 e7d5b203a7 240950b9e9 503d410243 : 2,500,000
aca8db6c5b 71fa0482c0 c2bac2d35d c80483e1c5 3ed66885ed : 4,000,000
1c34b868a6 bf06544b48 7cc783c890 91a232aa67 b41f1ffd69 : 5,000,000
392327cf63 0a93102614 b8c6c18621 732b6cd012 0f70f11c5f : 7,500,000
0552476203 0205032429 6914857462 1810308583 1340084157 : 10,000,000
1964818385 2424050976 2590422545 7076007281 6573075095 : 12,000,000
2069462428 5054038684 3326565155 3031315046 9005692766 : 15,000,000
3621196970 6201368821 1705386184 7775260407 3342803556 : 20,000,000
4920735327 9263873450 0954391227 6632356569 1778250574 : 25,000,000
6026484516 6943879636 8251140707 6839561093 0047019998 : 40,000,000
7800579523 3246772015 5611187270 3571534543 1857122093 : 50,000,000
7790163934 3091731041 0773693101 5455972290 4984336172 : 75,000,000
3de823bf24 81b7782ee6 6219a11bce 383b34712a 364aa1c6da : 10,000,000
9fddab1733 bcc5b5d650 c578e4d6f1 fc819ced16 0f99e14a6c : 12,000,000
78321a72b4 77eb0651ed e5e6d5af28 5f1662a98f 4f4f8cb9b0 : 15,000,000
787393ecd1 7aa564a089 df641c3d2c d5b101b63d 414dde4e9c : 20,000,000
3754514a19 32bbd69036 d769d0fc8e 3a5358720b c0fc218bda : 25,000,000
82869741bd 86b5f6c140 20f85ca2c6 28491d1170 18d280c9bb : 40,000,000
b33e9bf268 3062f86bad aac4b09107 cb2038f94f 8d287b3b61 : 50,000,000
69c71f85b6 2e0757373a 429f15bb4f 66f4afc209 d37492d218 : 75,000,000
2568199499 3129172906 8021321395 0245810952 5428775403 : 100,000,000
6795619012 3154793042 8846594543 6300900527 0267559097 : 120,000,000
9404342434 8012030667 3642295069 6952957079 4613338985 : 150,000,000
5898537314 6264235385 0643725030 1539489624 2370275054 : 200,000,000
1449976375 4712741004 9226551983 0399139327 3043042971 : 250,000,000
6093832283 4078246829 3639569855 4038769406 5763620470 : 400,000,000
4587239993 2008795885 6133904773 2515331770 1197364496 : 500,000,000
6393473721 8142395638 5831856044 3971708817 8570671415 : 750,000,000
b1e45bf83a d172a3910f f49f130983 a563161e5e 6fafc99790 : 100,000,000
9d14550d8b 23c7ebac7b 65683379b6 5ad4a53dde 990a84809d : 120,000,000
59369013ab ad39abc12f 2720ff6b45 c0a64bf225 7b46d49977 : 150,000,000
e07c125a27 eb03fc8f90 458f12d935 3b866f8d23 f7375de121 : 200,000,000
1a59ac71e9 8a93343679 db28c983d3 03c976f96c 7677e6d0d5 : 250,000,000
5d9cbb5e58 abd46221f1 c071ae63e9 b83021c4b8 a1e41d3e3a : 400,000,000
239d9714e4 e10b65d9db 1e18af6084 94284d3075 493db9c5f5 : 500,000,000
174d30a316 c14b847b30 de4e73e703 a74855a245 ac6c0c3911 : 750,000,000
7444060557 4865772170 7191135395 0252968970 7446822902 : 1,000,000,000
2465793956 8395017399 9692360136 9290584906 6475964192 : 1,200,000,000
2607609396 1655994112 7841893390 9863816117 1910154292 : 1,500,000,000
1298797126 7962278628 5687054855 0934342464 9076868414 : 2,000,000,000
4318958753 2957949200 8283940719 1752962610 1279906274 : 2,500,000,000
5355171750 0031873236 4095125668 7456280611 8356163456 : 4,000,000,000
9728590632 8259052419 1329360671 1363253212 0196878463 : 5,000,000,000
4260452987 1060732612 7677715965 1176138694 7600831099 : 7,500,000,000
f02aed5e18 edeed73cbc 2f832e3018 4571472ed8 6c570b4ef1 : 1,000,000,000
16b6432624 9b59c1686b 758ca92046 434bb4d6cc b31b5dbf58 : 1,200,000,000
98726428b3 232845023b d2999d0763 494839907b d99061e84f : 1,500,000,000
26792eeb12 dfe3221706 ac1ddf0898 57de7db001 30262fbb32 : 2,000,000,000
c34b183b65 70517d722a 849686f182 523839834b c938c97fb4 : 2,500,000,000
1507f542c6 2249580da7 14bdab02e7 aadc7e1100 5455bcdf97 : 4,000,000,000
d63e6b41d4 92e2a85127 9a721e2248 3d988928f2 fcd23f8dda : 5,000,000,000
e7d2118db6 dff66e4cdb 4471afbf9a cdd4cb9663 409304dd46 : 7,500,000,000

6558814507 0198644193 0043794535 5923334409 3389734299 : 10,000,000,000
3551911597 5979756671 1796547907 9203314313 7437075179 : 12,000,000,000
5576213757 7011651031 2814831639 0194057643 6613786025 : 15,000,000,000
3163455468 1282958768 2258582902 0283631771 1439861898 : 20,000,000,000
4006916645 5816050112 9493502198 8038674522 1195357251 : 25,000,000,000

2237697231 5811170154 1427630694 3408910978 7623126515 : 40,000,000,000

5978224360 5553296931 3070954799 7747198232 8968526415 : 50,000,000,000

3ebb072a3d d779a279d6 8607ec9fe6 5988e7af45 63908f9f61 : 10,000,000,000
342b49e25f 5ab2f3b36c 9d335590fd fd341b896f 531e5b9518 : 12,000,000,000
31dd3a1781 6e1925b0bf e7cbf75fee aafc3166c4 d96ef00f86 : 15,000,000,000
4f9073be59 aec0b94805 47af1082dd b3cb336992 96255f17c1 : 20,000,000,000
6f6dbb80f3 7cecbb5e3a 763397b349 fb22b4095b 0b016eef97 : 25,000,000,000

c43dc1fd11 b32060bf02 ca44870494 a01f73ba44 870f75b9df : 40,000,000,000

1b9dac4929 922e530594 3a9990d2ba 4397455955 fdc05522ed : 41,524,101,150
1a5adb0c52 41e67bc021 4f81349b28 0d32c08

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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