is 2 2915257 - 1
has 877580 decimal digits
takes 0.225 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE4B71BC199D69219double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.192667.1642%20482048000.00150.3039%10.194067.2640%0.0998%
PrimeNet2590.026362.7119%130002600000.00303.0672%0.029363.8556%1.1437%
GPU722630.547565.0794%160003000000.00351.9109%0.551065.7467%0.6673%
Difference+4+9.6451+2.0848%-13952-95200-0.0021-1.6070%+9.6430+1.5173%+1.5173%

Known prime factors (2 factors, 131.3 bits, 0.00450439% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
291525725036480923813408311961.119429404353095
3 × 5 × 2441 × 11727553
2016-04-042441117275530.12350.07180.1336
291525713522775615487508272792270.196231931106168127
3 × 1579 × 52153 × 938807
2009-03-3052153938807133.580.01130.0119

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2915257338562713734162122276414418915451132884940131.315
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-02T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.304%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-19T00:00:00ANONYMOUSv4_computers21259--0.026--
2022-03-10T18:31:20LordJuliusManual testing21260--0.053--
2009-02-15T01:20:00Sturle Sundehindemith.ifi260261--0.053--
2016-04-04T11:14:54TJAOIManual testing261262*61.119190.0180.4580.037


ECM factoring results:

Old Calculation Method

Total ECM effort:0.315 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.315 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.09790.776%
25500000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.315


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-23T00:00:00ANONYMOUSv4_computersE4B71BC199D692190.225
1999-05-16T00:00:00ANONYMOUSv4_computersE4B71BC199D692190.225


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-25T01:02:07Oliver KruseGTX-3
2503648092381340831
1352277561548750827279
8338CE51AB34E2__no
2017-12-08T20:04:13kkmrkkblmbrbkc4.xlarge
2503648092381340831
1352277561548750827279
8338CE51AB34E2__no


P-1 factor-bounds graph:
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
107
108
TF factor-bounds graph:
267
262
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-10T18:31:20+00:00