is 2 747763 - 1
has 225100 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L56D7A7D441E77EA9double-checked
PRP3B5E005278E6C0FFPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26879.710970.5882%760000012034564542001,899.028419.1584%1,978.739376.2231%5.6348%
PrimeNet2400.000050.0000%70002800000.000621.9498%0.000660.9749%10.9749%
GPU722440.000054.5455%120004500000.001016.6246%0.001062.1021%7.5567%
Difference+24+79.7109+16.0428%+7588000+1203456004200+1,899.0273+2.5338%+1,978.7383+14.1210%-1.9218%

Known prime factors (1 factor, 124.2 bits, 0.01660576% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7477632395577358637858428925254390173808427138124.17216018292952699307326821829845645
5 × 743 × 113081 × 266117 × 524789 × 273030039151
2022-05-085247892730300391512.164e+11430.80804.59

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.009--2.357%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.080%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.647%
2002-11-24T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.351%
2003-06-30T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.181%
2011-06-19T02:17:00Jocelyn LaroucheManual testing400000400000---0.012--1.394%
2011-08-15T22:09:00Jocelyn LaroucheManual testing484292484292---0.014--1.524%
2011-10-22T14:59:00Jocelyn LaroucheManual testing968584968584---0.028--2.054%
2012-07-14T15:57:00Jocelyn LaroucheManual testing14955261495526---0.043--2.433%
2013-10-27T17:57:00David Campeaui5-2500k152500051850000---0.124--5.880%
2015-11-23T23:59:25Sid & AndySpeck747763022432890012---0.559--8.461%
2022-05-08T10:06:46lycornsupernova7600000120345645420038124.1721,8990.0303,79819.158%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-09-08T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.013--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.026--
2003-09-29T00:00:00ANONYMOUSv4_computers21258--0.051--
2008-10-13T02:55:00Sturle Sundenouchcraft.ifi258259--0.051--
2008-10-13T03:27:00Sturle Sundenouchcraft.ifi259260--0.103--
2010-06-24T23:40:00Architects Cubedm1_tt260261--0.205--
2015-03-05T05:41:00NRManual testing261262--0.411--
2015-10-20T22:57:36Gordon SpenceManual testing262263--1.313--
2015-10-20T22:57:36Gordon SpenceManual testing263264--2.626--
2016-04-08T12:10:48lycornManual testing264265--4.997--
2017-10-13T03:35:39Smok_bmvManual testing265266--9.99--
2020-05-15T00:09:03Gordon SpenceManual testing266267--19.99--
2022-03-25T23:38:15Gordon SpenceManual testing267268--39.97--


ECM factoring results:
Total ECM effort:12.140 GHz-days
Estimated T-Level:25.711
DigitsB1CompleteFacMiss
201100015.4060.000%
25500001.71518.001%
302500000.14286.748%
3510000000.01099.039%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002806.354
25000025000000515.787


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-05-04T00:00:00ANONYMOUSv4_computers56D7A7D441E77EA90.015
2016-06-01T06:41:01MadPooManual testing56D7A7D441E77EA90.015


PRP results:
dateuseridcompidcofactorsres64PRP
2022-05-08T20:24:47SRJ2877LTOS
23955773586378584289252543901738084271
3B5E005278E6C0FFno


P-1 factor-bounds graph:
B1 = 7600000, B2 = 1203456454200 (P-1 stage 2)
B1 = 7477630, B2 = 224328900 (P-1 stage 2)
B1 = 7600000 (P-1 stage 1)
B1 = 7477630 (P-1 stage 1)
B1 = 1525000, B2 = 51850000 (P-1 stage 2)
B1 = 1525000 (P-1 stage 1)
B1 = 1495526 (P-1 stage 1)
B1 = 968584 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 484292 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65537 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-08T20:24:47+00:00