is 2 2920531 - 1
has 879168 decimal digits
takes 0.226 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-
PRP54F26C660B8E473Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.408967.6471%1000000200000000.22795.5374%20.636869.4386%1.7915%
PrimeNet2590.026362.7119%130002600000.00303.0682%0.029363.8559%1.1441%
GPU722630.546565.0794%170003000000.00361.9440%0.550165.7582%0.6788%
Difference+5+19.8624+2.5677%+983000+19700000+0.2243+3.5934%+20.0867+3.6804%+3.6804%

Known prime factors (1 factor, 76.8 bits, 0.00262873% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29205311291004460291467271715272476.77322102221484577073
3 × 7 × 23 × 1601 × 28582319131
2021-04-091601285823191316,978.9174.40325.73

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.246%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.145%
2010-11-13T11:54:00Jocelyn LaroucheManual testing1500015000---0.002--0.213%
2010-11-14T16:13:00markrtiny1050002283750---0.025--2.582%
2015-04-27T09:55:00VictordeHollanderManual testing100000020000000---0.228--5.537%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-12T23:40:00Sturle Sundeginy.ifi260261--0.053--
2011-12-25T18:11:00Grant McCrackenthumper261262--0.105--
2013-01-07T13:49:00dbaughManual testing262263--0.336--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.672--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.279--
2016-02-22T10:40:59ramgeisManual testing265266--2.559--
2017-11-22T00:30:12Gordon SpenceManual testing266267--5.117--
2018-12-18T01:52:42chuenkitManual testing267268--10.23--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.771 GHz-days
Estimated T-Level:3.650
DigitsB1CurvesCompleteFacMiss
201100073 / 1000.73048.014%
255000073 / 2800.26177.014%

New Calculation Method

Total ECM effort:7.771 GHz-days
Estimated T-Level:3.650
DigitsB1CompleteFacMiss
20110002.3709.344%
25500000.21580.689%
302500000.01398.687%


ECM Summary

B1B2factorcurvesGHz-days
500005000000606.295
50000500000060.629
50000675000070.847


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-14T06:50:02MadPooManual testing23715C6A2F97BC__0.226


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-10T13:24:13XZTN4640G2
129100446029146727171527
54F26C660B8E473Bno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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105
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102
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105
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1010
1011
TF factor-bounds graph:
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266
265
264
263
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261
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Last modified: 2021-04-10T13:24:13+00:00