is 2 2862997 - 1
has 861848 decimal digits
takes 0.221 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC13426AA05797AEEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.819067.6471%2870000287000000.47906.4197%21.298169.7240%2.0770%
PrimeNet2590.026862.7119%130002400000.00282.9953%0.029763.8287%1.1169%
GPU722630.557565.0794%160002800000.00341.8687%0.560965.7319%0.6526%
Difference+5+20.2616+2.5677%+2854000+28420000+0.4756+4.5511%+20.7372+3.9921%+3.9921%

Known prime factors (1 factor, 75.8 bits, 0.00264618% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2862997639767403622615601173912375.76011173036570115435
5 × 19 × 53 × 6907 × 321278963
2020-08-0169073212789634,463.21.96113.6614

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.244%
2009-07-03T00:47:00Carsten Kossendeyleela15000157500---0.003--0.717%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.272%
2011-01-03T14:35:00Jocelyn LaroucheManual testing3000030000---0.003--0.376%
2011-01-21T23:30:00Jocelyn LaroucheManual testing5000050000---0.006--0.544%
2011-02-09T04:18:00markrtiny1150002415000---0.027--2.654%
2016-08-25T04:44:02Jocelyn Larouchelow4M15659948300006---0.046--3.272%
2016-12-19T18:37:53Jocelyn Larouchelow 4M187918187918---0.021--1.195%
2017-01-10T10:25:12Jocelyn Larouchelow 4M225501225501---0.025--1.312%
2017-04-04T20:17:33Jocelyn Larouchelow 4M32472132472106---0.054--3.333%
2018-08-27T00:20:23Jocelyn Larouchelow 4M85800817160166---0.101--3.027%
2018-08-30T21:10:23Jocelyn Larouchelow 4M85800825740246---0.107--3.417%
2019-10-24T13:09:25masserManual testing28700002870000012---0.479--6.420%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:23Mark RoseManual testing21260--0.054--
2009-02-12T16:24:00Sturle Sundegigotte.ifi260261--0.054--
2012-02-03T20:21:00Grant McCrackenthumper261262--0.107--
2013-01-07T13:46:00dbaughManual testing262263--0.343--
2015-04-21T09:21:00VictordeHollanderManual testing263264--0.686--
2015-04-21T09:21:00VictordeHollanderManual testing264265--1.305--
2016-02-18T12:13:56ramgeisManual testing265266--2.610--
2017-11-12T17:07:16Gordon SpenceManual testing266267--5.220--
2019-01-08T01:21:04chuenkitManual testing267268--10.44--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.196 GHz-days
Estimated T-Level:1.050
DigitsB1CurvesCompleteFacMiss
201100021 / 1000.21080.973%
255000021 / 2800.07592.762%

New Calculation Method

Total ECM effort:2.196 GHz-days
Estimated T-Level:1.050
DigitsB1CompleteFacMiss
20110000.67750.793%
25500000.06194.061%
302500000.00499.624%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.882
50000500000030.314


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-22T00:00:00ANONYMOUSv4_computersC13426AA05797AEE0.221


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-02T04:28:35CrypticCluecruncher
63976740362261560117391
E851E4146E70E4ECno
2020-08-02T17:35:37LOBESManual testing
63976740362261560117391
E851E4146E70E4ECno


P-1 factor-bounds graph:
B1 = 2870000, B2 = 28700000 (P-1 stage 2)
B1 = 2870000 (P-1 stage 1)
B1 = 858008, B2 = 2574024 (P-1 stage 2)
B1 = 858008, B2 = 1716016 (P-1 stage 2)
B1 = 858008 (P-1 stage 1)
B1 = 324721, B2 = 3247210 (P-1 stage 2)
B1 = 156599, B2 = 4830000 (P-1 stage 2)
B1 = 324721 (P-1 stage 1)
B1 = 115000, B2 = 2415000 (P-1 stage 2)
B1 = 225501 (P-1 stage 1)
B1 = 187918 (P-1 stage 1)
B1 = 156599 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 157500 (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: 2020-08-02T17:35:37+00:00