is 2 410000029 - 1
has 123422307 decimal digits
takes 8,054.792 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27774.654162.3377 %336000028560000134.82545.0758 %209.479564.2493 %
Target2822,388.943264.6341 %2400000500000000840.65314.0386 %3,229.596266.0624 %
Difference-5-2,314.2891-2.2965 %+960000-471440000-705.8276+1.0372%-3,020.1168-1.8131 %

Known prime factors (1 factor, 87.7 bits, 0.00002140% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4100000292599471224476521625140017672787.748317008663489206927
32 × 73 × 73 × 181 × 619 × 12555743
2017-11-056191255574376,44619.50336.396

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-11-05Nikolai ZobninPresence33600002856000022787.748130.73.274%


Trial Factoring results:
5758596061626364656667686970717273747576777879808182
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2023-10-18James HeinrichManual testing267268
2009-07-02rudimeierclyde2682690.146
2009-07-19rudimeierdickie2692700.292
2009-08-29rudimeiershakti2702710.583
2009-10-08rudimeierbart2712721.166
2010-03-04rudimeierclyde2722732.333
2010-09-10rudimeiercobain2732744.666
2012-01-20rudimeierakne2742759.332
2012-01-27rudimeierakne27527618.66
2012-02-10rudimeierakne27627737.33


ECM factoring results:
No ECM results for M410000029


Lucas-Lehmer results:
No L-L results for M410000029


PRP results:
No PRP results for M410000029


CERT results:
No CERT results for M410000029


P-1 factor-bounds graph:
B1 = 3360000, B2 = 28560000 (P-1 stage 2)
B1 = 3360000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 82
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00