is 2 2598929 - 1
has 782356 decimal digits
takes 0.180 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEFE0AF9FC71E0042double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.934467.6471%32000001120000000.91808.0879%23.852470.2637%2.6167%
PrimeNet2590.029562.7119%110002000000.00212.6947%0.031763.7167%1.0048%
GPU722630.614165.0794%120002000000.00221.5302%0.616365.6137%0.5344%
Difference+5+22.3203+2.5677%+3188000+111800000+0.9158+6.5577%+23.2361+4.6500%+4.6500%

Known prime factors (1 factor, 81.3 bits, 0.00312710% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
259892929178038800858740211188972581.271561347362718618712
23 × 3 × 149 × 156976331856437
2021-03-07149156976331856437223,187860,1561,606,532

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.238%
2003-11-08T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.781%
2010-11-16T23:08:00Jocelyn LaroucheManual testing2000020000---0.002--0.266%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.533%
2011-04-19T10:51:00James HeinrichWHS1750004156250---0.039--3.185%
2016-09-03T07:44:08mikrMSI320000011200000012---0.918--8.088%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:17Mark RoseManual testing259260--0.030--
2009-01-30T22:19:00Sturle Sundeothello.ifi260261--0.059--
2012-06-23T13:43:00Sebastian HornbostelManual testing261262--0.118--
2013-01-14T11:55:00dbaughManual testing262263--0.378--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.755--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.438--
2015-11-05T09:47:20ramgeisManual testing265266--2.875--
2017-08-21T17:34:52Gordon SpenceManual testing266267--5.751--
2019-03-04T13:44:30TJAOIManual testing267268--11.50--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.247 GHz-days
Estimated T-Level:21.786
DigitsB1CurvesCompleteFacMiss
2011000100 / 1001.00036.603%
2550000100 / 2800.35769.923%

New Calculation Method

Total ECM effort:9.247 GHz-days
Estimated T-Level:21.786
DigitsB1CompleteFacMiss
20110003.2263.972%
25500000.29274.711%
302500000.01898.221%


ECM Summary

B1B2factorcurvesGHz-days
500005000000968.877
50000500000040.370


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00ANONYMOUSv4_computersEFE0AF9FC71E00420.180
2018-06-25T19:49:13kkmrkkblmbrbkoldEFE0AF9FC71E00420.180


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-08T07:29:37Yuji HASEGAWAvj20a
2917803880085874021118897
CFC3EC19366BD810no
2021-03-08T07:42:52rucio
2917803880085874021118897
CFC3EC19366BD810no


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4156250 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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: 2021-03-08T07:42:52+00:00