is 2 5398357 - 1
has 1625068 decimal digits
takes 0.852 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFA7771ABDB7B37DBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27188.560067.6056%400000010285831710129.186112.0877%217.746071.5214%3.9157%
PrimeNet2620.113862.9032%240005500000.01213.1515%0.125964.0723%1.1691%
GPU722662.735765.1515%320006500000.01502.0754%2.750865.8748%0.7232%
Difference+5+85.8242+2.4541%+3968000+10285181710+129.1710+10.0123%+214.9953+5.6466%+3.1925%

Known prime factors (1 factor, 134.0 bits, 0.00248146% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
53983572115571556561098700689345723516700974471341133.9581959458735834901897641584025951508
22 × 3 × 11 × 43 × 883 × 177967 × 880861 × 1772461 × 1407049843
2022-09-09177246114070498433.024e+1017.93732.785

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-06-26T00:00:00ANONYMOUSv4_computers25000293750---0.009--0.754%
2000-06-29T00:00:00ANONYMOUSv4_computers25000293750---0.009--0.754%
2000-08-31T00:00:00ANONYMOUSv4_computers25000212500---0.008--0.677%
2010-10-13T16:35:00Squeeky_SquirrelP4_260060000960000---0.025--1.388%
2019-07-23T14:34:39harleei5-5250U_1600325000958750012---0.190--3.362%
2022-09-09T08:53:51Sid & AndyMagic_8_Ball40000001028583171041133.958129.21.705258.412.088%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-17T00:00:00ANONYMOUSv4_computers21261--0.057--
1998-04-21T00:00:00ANONYMOUSv4_computers21262--0.114--
2009-05-16T20:50:00GrunwalderGIMPManual testing262263--0.182--
2014-12-25T15:33:00VictordeHollanderManual testing263264--0.364--
2014-12-25T15:33:00VictordeHollanderManual testing264265--0.692--
2015-08-20T20:58:00snme2pm1Manual testing265266--1.384--
2016-08-14T01:54:39Gordon SpenceManual testing266267--2.769--
2018-06-11T12:29:36ramgeisManual testing267268--5.537--
2019-09-27T08:17:32lycornManual testing268269--11.07--
2021-08-19T12:33:02TJAOIManual testing269270--22.15--
2022-03-02T19:50:47mikrManual testing270271--44.30--


ECM factoring results:
Total ECM effort:2.161 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-11T00:00:00LLLv4_computersFA7771ABDB7B37DB0.852
2000-10-28T00:00:00ANONYMOUSv4_computersFA7771ABDB7B37DB0.852


PRP results:
dateuseridcompidcofactorsres64PRP
2022-09-14T23:46:04Perigbreagan
21155715565610987006893457235167009744713
9B902BFBA165EC__no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 10285831710 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 325000, B2 = 9587500 (P-1 stage 2)
B1 = 325000 (P-1 stage 1)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 25000, B2 = 293750 (P-1 stage 2)
B1 = 25000, B2 = 212500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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250
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2110
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Last modified: 2022-09-14T23:46:04+00:00