is 2 10258561 - 1
has 3088135 decimal digits
takes 3.351 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4AE5295779857509double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672.896564.1791 %12500025312500.12133.6659 %3.017865.4923 %
Target2685.810364.7059 %7000080000000.23782.6574 %6.048165.6438 %
Difference-1-2.9138-0.5268 %+55000-5468750-0.1165+1.0085%-3.0303-0.1515 %

Known prime factors (1 factor, 69.6 bits, 0.00067830% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
102585618845129524054974686812169.58343110966167940
22 × 3 × 5 × 11 × 65319645709
2016-09-06116531964570911.6381,685.73,148.4

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-08Richard_Otterv4_computers50000612500--0.0381.943%
2013-05-24NesowaEPC12500025312506--0.1213.280%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-08-22ANONYMOUSv4_computers212640.191
2013-09-20NesowaManual testing2642650.364
2015-04-27ThaManual testing2652660.728
2015-12-02VictordeHollanderManual testing2662671.457


ECM factoring results:
Total ECM effort:1.011 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.514
50000500000010.497


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-11-15Lars Lindleyv4_computers4AE52957798575093.351
2003-11-28Richard_Otterv4_computers4AE52957798575093.351


PRP results:
dateuseridcompidcofactorsres64
2020-03-03Niels_Mache_NextcloudSuperDry-X
884512952405497468681
586000BBD6F5156F
2021-02-14ATHec2-PRPCF
884512952405497468681
586000BBD6F5156F


CERT results:
dateuseridcompid
2021-02-14ChuckMaingear_i7-7800


P-1 factor-bounds graph:
B1 = 125000, B2 = 2531250 (P-1 stage 2)
B1 = 125000 (P-1 stage 1)
B1 = 50000, B2 = 612500 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00