is 2 3171671 - 1
has 954769 decimal digits
takes 0.270 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP1395659672630008verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.792967.6471%10000001343433001.02007.6231%19.812970.1134%2.4663%
PrimeNet2600.048463.3333%130002400000.00312.6532%0.051664.3062%0.9728%
GPU722641.122265.6250%150002600000.00351.5821%1.125766.1688%0.5438%
Difference+4+17.6707+2.0221%+985000+134083300+1.0165+6.0410%+18.6872+3.9445%+3.9445%

Known prime factors (1 factor, 76.2 bits, 0.00240321% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3171671881291905473423194677932376.22213893179738273976
23 × 3 × 7 × 97 × 367 × 2323028693
2021-07-1036723230286935,614.815.62029.173

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.252%
2009-07-03T00:49:00Carsten Kossendeyleela15000191250---0.003--0.781%
2011-09-10T18:45:00Squeeky_SquirrelT7500_220060000960000---0.013--1.876%
2014-06-01T23:28:00Jocelyn LaroucheManual testing8023780237---0.010--0.753%
2014-09-25T21:11:00Jocelyn LaroucheManual testing100474100474---0.012--0.862%
2015-09-25T14:29:03Squeeky_SquirrelP4_26001450003625000---0.041--3.079%
2016-04-22T05:24:19Jocelyn LaroucheManual testing384000115846236---0.123--4.529%
2019-01-05T23:03:04KingFactorFinder2131475596813066---0.650--7.235%
2022-02-22T08:55:09Jocelyn LaroucheManual testing1000000134343300---1.020--7.623%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-08T17:58:00S485122USB-A260261--0.048--
2011-10-27T06:54:00Grant McCrackenhome261262--0.097--
2013-01-03T08:45:00dbaughManual testing262263--0.310--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.619--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.178--
2015-06-17T10:00:00ThaManual testing265266--2.356--
2017-04-25T10:21:53Gordon SpenceManual testing266267--4.712--
2019-01-14T11:03:51TJAOIManual testing267268--9.424--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.154 GHz-days
Estimated T-Level:3.050
DigitsB1CurvesCompleteFacMiss
201100061 / 1000.61054.169%
255000061 / 2800.21880.393%

New Calculation Method

Total ECM effort:7.154 GHz-days
Estimated T-Level:3.050
DigitsB1CompleteFacMiss
20110001.96813.977%
25500000.17883.707%
302500000.01198.911%


ECM Summary

B1B2factorcurvesGHz-days
500005000000576.685
50000500000040.469


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-30T00:00:00ANONYMOUSv4_computers7325FA348F14DA__0.270


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-11T05:03:24SRJ2877LTOS
88129190547342319467793
1395659672630008no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 2131475, B2 = 59681306 (P-1 stage 2)
B1 = 2131475 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 384000, B2 = 11584623 (P-1 stage 2)
B1 = 384000 (P-1 stage 1)
B1 = 145000, B2 = 3625000 (P-1 stage 2)
B1 = 145000 (P-1 stage 1)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 100474 (P-1 stage 1)
B1 = 80237 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-22T08:55:09+00:00