is 2 4104523 - 1
has 1235585 decimal digits
takes 0.512 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L0F86D378042C0E83double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27058.216468.5714%1600000600000000.86486.1112%59.081270.4921%1.9207%
PrimeNet2610.074863.9344%170003400000.00632.8233%0.081164.9526%1.0182%
GPU722651.777566.1538%220004000000.00771.8089%1.785266.7661%0.6123%
Difference+5+56.4389+2.4176%+1578000+59600000+0.8571+4.3022%+57.2960+3.7260%+3.7260%

Known prime factors (2 factors, 149.2 bits, 0.00363385% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
41045236683302375766696179272169.17981413874106281
33 × 3015328670603
2021-05-2327301532867060339.43329,71055,490
410452311864951721952065714305532579.973144535086317607012
22 × 34 × 23 × 2426351 × 7993681
2021-08-232426351799368152,3750.49370.8930

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
410452379297060031679393577017876293875763232432363145149.152
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-24T04:40:00Carsten Kossendeydurandal20000300000---0.006--0.773%
2011-07-31T09:43:00harleeP4_260040000580000---0.013--1.178%
2013-05-31T19:52:00Squeeky_SquirrelT7500_22001250002343750---0.044--2.236%
2020-11-24T12:55:35Carlos PinhoHomeComputer15100039550006---0.065--2.618%
2021-04-23T01:13:38Kingfactor16000006000000012---0.865--6.111%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-23T05:01:14ATH5960X250000018250000027P-12579.9732.425


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-14T00:00:00ANONYMOUSv4_computers?261--0.037--
2010-11-23T03:38:00Grant McCrackenthumper261262--0.075--
2011-07-01T19:13:00GrunwalderGIMPManual testing21263--0.389--
2016-02-23T16:29:48Mark RoseManual testing262263--0.239--
2013-09-04T01:48:00JayderManual testing263264--0.478--
2013-10-24T14:56:00David CampeauManual testing264265--0.910--
2015-05-31T21:23:00snme2pm1Manual testing265266--1.821--
2017-12-12T17:36:49YxinityManual testing266267--3.641--
2018-11-19T05:23:43YxinityManual testing267268--7.282--
2021-05-23T01:56:22axnManual testing268269--14.56--
2021-05-23T01:56:22axnManual testing26927069.1792110.351.03921.00


ECM factoring results:

Old Calculation Method

Total ECM effort:2.171 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.171 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-09-27T00:00:00garyhv4_computers0F86D378042C0E830.512
1999-10-21T00:00:00ANONYMOUSv4_computers0F86D378042C0E830.512


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-24T17:05:38kutensarcturus
668330237576669617927
04C6274C7E7965B8no
2021-08-23T09:35:04ATHec2-PRPCF
668330237576669617927
1186495172195206571430553
04C6274C7E7965B8no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 182500000 (P-1 stage 2)
B1 = 1600000, B2 = 60000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1600000 (P-1 stage 1)
B1 = 151000, B2 = 3955000 (P-1 stage 2)
B1 = 125000, B2 = 2343750 (P-1 stage 2)
B1 = 151000 (P-1 stage 1)
B1 = 125000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 300000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-08-23T09:35:04+00:00