is 2 968971 - 1
has 291690 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB59BE977770404F6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26861.513670.5882%5000000012636914390102,422.579221.9324%2,484.092877.0389%6.4507%
PrimeNet2400.000050.0000%90004000000.001123.9714%0.001161.9857%11.9857%
GPU722440.000054.5455%160006500000.001818.4155%0.001862.9161%8.3707%
Difference+24+61.5136+16.0428%+49984000+1263690789010+2,422.5774+3.5169%+2,484.0910+14.1228%-1.9200%

Known prime factors (1 factor, 135.5 bits, 0.01398186% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9689716075705412703210918503062716027426564281741135.48031351327401455827462860409217754848
25 × 13 × 163 × 183461 × 1629431 × 27750979 × 55733582329
2022-09-2627750979557335823291.765e+11107.69199.42

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.173%
2002-03-03T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.377%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.137%
2002-08-03T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.725%
2003-01-16T00:00:00ANONYMOUSv4_computers655366553600---0.015--2.450%
2003-09-21T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.301%
2011-06-03T21:59:00Jocelyn LaroucheManual testing200000200000---0.007--1.026%
2011-06-21T02:35:00Jocelyn LaroucheManual testing400000400000---0.014--1.453%
2012-01-27T23:58:00Jocelyn LaroucheManual testing692164692164---0.024--1.856%
2013-10-13T07:32:00David Campeaui5-2500k84000025200000---0.076--4.998%
2014-03-24T15:21:00alpertronManual testing10000000500000000---1.290--9.884%
2022-09-26T01:31:25axnManual testing50000000126369143901041135.4802,4230.0474,84521.932%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-24T00:00:00ANONYMOUSv4_computers21257--0.020--
2003-08-25T00:00:00ANONYMOUSv4_computers21258--0.040--
2016-02-23T16:28:18Mark RoseManual testing258260--0.119--
2010-05-17T10:40:00Architects Cubedm1_tt260261--0.159--
2014-03-09T00:07:00lycornManual testing261262--0.317--
2015-09-01T21:16:00Gordon SpenceManual testing262263--1.013--
2015-09-01T21:16:00Gordon SpenceManual testing263264--2.026--
2015-12-18T20:09:05lycornManual testing264265--3.856--
2018-03-17T21:22:42BloodERazorManual testing265266--7.712--
2019-01-20T11:44:00lycornManual testing266267--15.42--
2022-02-20T13:57:55Gordon SpenceManual testing267268--30.85--


ECM factoring results:
Total ECM effort:14.166 GHz-days
Estimated T-Level:25.656
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002807.933
25000025000000446.233


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-02-09T00:00:00ANONYMOUSv4_computersB59BE977770404F60.023
2016-06-01T06:41:12MadPooManual testingB59BE977770404F60.023


PRP results:
dateuseridcompidcofactorsres64PRP
2022-09-28T04:04:23LordJuliusWhiteBox
60757054127032109185030627160274265642817
803152BD5BA059B7no


P-1 factor-bounds graph:
B1 = 50000000, B2 = 1263691439010 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 840000, B2 = 25200000 (P-1 stage 2)
B1 = 840000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 692164 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-09-28T04:04:23+00:00