is 2 2559631 - 1
has 770526 decimal digits
takes 0.178 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAF2850477C0EC69Bdouble-checked
PRPB237BF0FAE388823verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.286567.6471%32000001120000000.91808.0758%24.204570.2598%2.6128%
PrimeNet2590.030062.7119%110002000000.00212.6871%0.032163.7138%1.0020%
GPU722630.623565.0794%120001800000.00211.4791%0.625765.5959%0.5165%
Difference+5+22.6630+2.5677%+3188000+111820000+0.9159+6.5967%+23.5789+4.6639%+4.6639%

Known prime factors (1 factor, 85.8 bits, 0.00335188% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2559631671635542651714498135083292685.79613119772784665338444
22 × 3 × 84731 × 12903357669827
2020-09-1884731129033576698274,667,45170,704132,056

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.237%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.756%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.265%
2011-01-03T14:36:00Jocelyn LaroucheManual testing3000030000---0.003--0.367%
2011-01-09T14:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.531%
2011-04-11T22:11:00James HeinrichWHS1750004068750---0.039--3.164%
2016-04-20T13:20:21mikrMSI320000011200000012---0.918--8.076%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-02-01T05:44:00Sturle Sundehoffman.ifi260261--0.060--
2011-12-27T19:45:00c10ck3rManual testing261262--0.120--
2013-01-14T11:55:00dbaughManual testing262263--0.384--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.767--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.460--
2015-11-08T16:02:46omylistManual testing265266--2.919--
2017-08-11T09:15:23Gordon SpenceManual testing266267--5.839--
2019-03-25T14:11:00TJAOIManual testing267268--11.68--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.274 GHz-days
Estimated T-Level:3.400
DigitsB1CurvesCompleteFacMiss
201100068 / 1000.68050.489%
255000068 / 2800.24378.404%

New Calculation Method

Total ECM effort:6.274 GHz-days
Estimated T-Level:3.400
DigitsB1CompleteFacMiss
20110002.19411.152%
25500000.19882.016%
302500000.01298.787%


ECM Summary

B1B2factorcurvesGHz-days
500005000000645.905
50000500000040.369


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computersAF2850477C0EC69B0.178
2018-06-13T11:41:30kkmrkkblmbrbkoldAF2850477C0EC69B0.178


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-19T01:48:40Team_InspectorPurple
67163554265171449813508329
B237BF0FAE388823no


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4068750 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (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: 2020-09-19T01:48:40+00:00