is 2 54593431 - 1
has 16434261 decimal digits
takes 107.860 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
Actual2718.757163.3803 %----8.757163.3803 %
Target27335.038064.3836 %3600006000000010.33993.9264 %45.377965.7820 %
Difference-2-26.2809-1.0033 %-360000-60000000-10.3399-3.9264 %-36.6208-2.4017 %

Known prime factors (1 factor, 83.1 bits, 0.00015227% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
54593431105795324196879832578304092683.12996893822442557084
22 × 7 × 47 × 61 × 113 × 22963 × 465161
2011-08-262296346516147,4080.13480.1356

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-08-26St.Mary'sUnivWISELABcl52683.1291.6900.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-15ANONYMOUSv4_computers212532.20000e-5
2000-03-01ANONYMOUSv4_computers212544.40000e-5
2000-05-31ANONYMOUSv4_computers212560.000
2001-08-31ANONYMOUSv4_computers212570.000
2002-09-22ANONYMOUSv4_computers212580.001
2004-04-20oerwinv4_computers212620.006
2008-07-09monstabbe2622630.018
2008-12-28HazmattomKims_15252632640.036
2008-12-30HazmattomKims_15252642650.068
2009-01-04HazmattomKims_15252652660.137
2009-01-07HazmattomKims_15252662670.274
2009-05-13ANONYMOUS2672680.548
2011-04-04symalladPLTW2682691.095
2011-05-27jimmychauold_Toshiba2692702.190
2011-08-06TheJudgerManual testing2702714.380


ECM factoring results:
No ECM results for M54593431


Lucas-Lehmer results:
No L-L results for M54593431


PRP results:
No PRP results for M54593431


CERT results:
No CERT results for M54593431


P-1 factor-bounds graph:
103
104
105
103
104
105
106
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
262
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