is 2 10126741 - 1
has 3048453 decimal digits
takes 2.954 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0B46D43329719870double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2685.885964.7059 %19500043387500.17793.9384 %6.063866.0959 %
Target2685.885964.7059 %7000080000000.21232.6521 %6.098265.6419 %
Difference---+125000-3661250-0.0344+1.2863%-0.0344+0.4540 %

Known prime factors (1 factor, 76.5 bits, 0.00075516% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101267411048975214566125415161132476.4735179233943902216
23 × 3 × 11 × 107 × 183348695267
2016-07-161071833486952672,936.24,224.77,890.5

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-14Masonv4_computers5500055000--0.0230.746%
2011-08-13James Heinrichi7-92019500043387506--0.1783.938%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-08-31PhillTv4_computers212640.194
2011-11-15David CampeauManual testing2642650.369
2015-04-23ThaManual testing2652660.738
2015-11-18VictordeHollanderManual testing2662671.476
2022-02-06ViliamFManual testing267268


ECM factoring results:
Total ECM effort:0.887 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.444
50000500000010.444


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-05-31ANONYMOUSv4_computers0B46D433297198702.954
2003-11-08Masonv4_computers0B46D433297198702.954


PRP results:
dateuseridcompidcofactorsres64
2020-01-19mrhp
104897521456612541516113
61B5E7E7DE43B112
2021-02-02krackerGRID-11
104897521456612541516113
61B5E7E7DE43B112


CERT results:
No CERT results for M10126741


P-1 factor-bounds graph:
B1 = 195000, B2 = 4338750 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
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Last modified: 2024-03-13T02:15:48+00:00