is 2 51413641 - 1
has 15477049 decimal digits
takes 94.187 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
Actual2681.159361.7647 %----1.159361.7647 %
Target27337.205064.3836 %340000550000008.81373.7997 %46.018765.7369 %
Difference-5-36.0457-2.6189 %-340000-55000000-8.8137-3.7997 %-44.8594-3.9722 %

Known prime factors (1 factor, 85.0 bits, 0.00016532% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
51413641385648544230778602540070232684.995375044965431235071
3 × 7 × 19 × 47 × 127 × 13711 × 11485231
2009-12-071371111485231135,4331.69663.1045

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-12-07Torchwood InstitutePhenom940_W7x642684.9954.7860.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-15ANONYMOUSv4_computers212532.33000e-5
2000-02-16ANONYMOUSv4_computers212544.67000e-5
2000-04-19ANONYMOUSv4_computers212560.000
2001-05-13ANONYMOUSv4_computers212570.000
2002-02-17ANONYMOUSv4_computers212580.001
2003-10-14apocalypsev4_computers212600.001
2022-04-05LordJuliusManual testing260263
2009-01-28Sturle Sundeherrick.ifi2632640.038
2009-01-28ANONYMOUSmonolith2642650.073
2009-01-29PrimeCruncherApollo72652660.145
2009-01-30PrimeCruncherApollo72662670.291
2009-04-19ANONYMOUS2672680.581


ECM factoring results:
No ECM results for M51413641


Lucas-Lehmer results:
No L-L results for M51413641


PRP results:
No PRP results for M51413641


CERT results:
No CERT results for M51413641


P-1 factor-bounds graph:
103
104
105
103
104
105
106
107
108
TF factor-bounds graph:
268
267
266
265
264
263
260
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00