is 2 10415003 - 1
has 3135229 decimal digits
takes 3.402 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCF351CB1FDDCC17Fdouble-checked
PRP7CC4C6F2DCE2B40FPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27291.822766.6667%15000000150000007.10504.7140%98.927768.2380%1.5713%
PrimeNet2640.341862.5000%4500013000000.05373.7676%0.395563.9128%1.4128%
GPU722685.723064.7059%7000016000000.07262.6636%5.795665.6460%0.9401%
Difference+4+86.0997+1.9608%+14930000+13400000+7.0324+2.0504%+93.1321+2.5920%+0.6312%

Known prime factors (1 factor, 134.7 bits, 0.00129293% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
104150033438819634090843972311874029808735494251341134.6591650897092440032889242506233463752
23 × 8779 × 11923 × 274349 × 520567 × 964417 × 14313787
2022-01-30964417143137871.392e+100.80130.9297

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-07-03T00:00:00ANONYMOUSv4_computers145000145000---0.069--0.758%
2012-11-12T08:01:00NesowaOutback1450002875000---0.139--2.200%
2022-01-30T21:56:41Luminescence5950X150000001500000041134.6597.1056.80414.214.714%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00wally_olsonv4_computers21264--0.342--
2013-12-21T18:50:00lycornManual testing264265--0.359--
2015-05-03T18:16:00ThaManual testing265266--0.717--
2015-12-11T23:18:45VictordeHollanderManual testing266267--1.435--
2017-09-26T18:20:00-Anonymous-Manual testing267268--2.870--
2017-11-03T22:51:59ramgeisManual testing268269--5.740--
2020-08-09T17:00:47ViliamFManual testing269270--11.48--
2021-08-22T16:41:00SRBaseManual testing270271--22.96--
2021-10-24T07:46:58SRBaseManual testing271272--45.92--


ECM factoring results:
Total ECM effort:0.993 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.993


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-10-07T00:00:00ANONYMOUSv4_computersCF351CB1FDDCC17F3.402
2003-11-16T00:00:00Team Prime Ribv4_computersCF351CB1FDDCC17F3.402


PRP results:
dateuseridcompidcofactorsres64PRP
2022-02-06T06:27:34Poaooffice-CN2
34388196340908439723118740298087354942513
7CC4C6F2DCE2B40Fno


P-1 factor-bounds graph:
B1 = 15000000 (P-1 stage 1)
B1 = 145000, B2 = 2875000 (P-1 stage 2)
B1 = 145000 (P-1 stage 1)
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108
104
105
106
107
108
TF factor-bounds graph:
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2100
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2140
Last modified: 2022-02-06T06:27:34+00:00