is 2 56457371 - 1
has 16995363 decimal digits
takes 119.658 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
Actual2718.468063.3803 %----8.468063.3803 %
Target27333.881264.3836 %4000006500000012.04574.0636 %45.926965.8309 %
Difference-2-25.4133-1.0033 %-400000-65000000-12.0457-4.0636 %-37.4589-2.4506 %

Known prime factors (1 factor, 81.1 bits, 0.00014372% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5645737126647628721283190569024492581.14023599778247983944
23 × 971 × 2917 × 12109 × 86011
2011-12-04121098601110,7100.04960.0757

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-12-04Stephan Grupp3e_M3bmt292581.1401.6750.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-15ANONYMOUSv4_computers212532.13000e-5
2000-03-08ANONYMOUSv4_computers212544.25000e-5
2000-06-11ANONYMOUSv4_computers212560.000
2001-09-22ANONYMOUSv4_computers212570.000
2002-10-07ANONYMOUSv4_computers212580.001
2022-06-27LordJuliusManual testing21263
2008-07-28Sturle Sundekraus.ifi2632640.033
2008-07-29Sturle Sundeniemeyer.ifi2642660.199
2008-07-30Sturle Sundekinner.ifi2662670.265
2009-11-20Sturle Sundegoldiek.ifi2672680.529
2011-04-15RixenRXN2682691.059
2011-06-26XyzzyManual testing2692702.118
2011-11-07Bio1ogicsManual testing2702714.236


ECM factoring results:
No ECM results for M56457371


Lucas-Lehmer results:
No L-L results for M56457371


PRP results:
No PRP results for M56457371


CERT results:
No CERT results for M56457371


P-1 factor-bounds graph:
103
104
105
103
104
105
TF factor-bounds graph:
271
270
269
268
267
266
264
263
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