is 2 2559727 - 1
has 770555 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-L9CAC096370FB9A54double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.608267.1642%2000000600000000.51907.6657%12.127269.6813%2.5171%
PrimeNet2590.030062.7119%110002000000.00212.6871%0.032163.7138%1.0020%
GPU722630.623565.0794%120001800000.00211.4791%0.625665.5959%0.5165%
Difference+4+10.9847+2.0848%+1988000+59820000+0.5168+6.1866%+11.5016+4.0854%+4.0854%

Known prime factors (1 factor, 72.5 bits, 0.00283067% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
255972764847178798912692621292272.4581266681540627432
23 × 32 × 17592799175381
2015-08-12917592799175381486.2096,400180,049

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.293%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.885%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.316%
2011-01-03T14:36:00Jocelyn LaroucheManual testing3000030000---0.003--0.433%
2011-01-09T14:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.620%
2011-04-12T12:10:00James HeinrichWHS1750004068750---0.039--3.530%
2019-07-04T12:40:41alpertronManual testing20000006000000012---0.519--7.666%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00Ethan O'Connorv4_computers21259--0.030--
2022-03-11T02:05:00LordJuliusManual testing21260--0.060--
2009-02-01T06:34:00Sturle 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--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.292 GHz-days
Estimated T-Level:0.700
DigitsB1CurvesCompleteFacMiss
201100014 / 1000.14086.875%
255000014 / 2800.05095.114%

New Calculation Method

Total ECM effort:1.292 GHz-days
Estimated T-Level:0.700
DigitsB1CompleteFacMiss
20110000.45263.660%
25500000.04196.001%
302500000.00399.749%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.107
50000500000020.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00Ethan O'Connorv4_computers9CAC096370FB9A540.178


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-15T00:23:58Oliver KruseGTX-0
6484717879891269262129
A865F8F2D5E1B6__no
2017-12-01T16:36:57kkmrkkblmbrbkc4.xlarge
6484717879891269262129
A865F8F2D5E1B6__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (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: 2022-03-11T02:05:00+00:00