is 2 54193231 - 1
has 16313789 decimal digits
takes 107.069 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
Actual2718.821763.3803 %----8.821763.3803 %
Target27335.296764.3836 %3600006000000010.33993.9227 %45.636765.7807 %
Difference-2-26.4750-1.0033 %-360000-60000000-10.3399-3.9227 %-36.8149-2.4004 %

Known prime factors (1 factor, 87.1 bits, 0.00016077% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
541932311691646088500303925491582312787.1291560754043711016165
32 × 5 × 11 × 23 × 97 × 499 × 8263 × 342761
2012-04-178263342761599,0110.07590.0999

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-04-17James HintzShana2787.1291.7670.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-08ANONYMOUSv4_computers212532.21000e-5
2000-03-01ANONYMOUSv4_computers212544.43000e-5
2000-05-24ANONYMOUSv4_computers212560.000
2001-08-24ANONYMOUSv4_computers212570.000
2002-08-24ANONYMOUSv4_computers212580.001
2003-08-31oerwinv4_computers212620.006
2008-12-211997rj7Manual testing212640.036
2009-02-23Gymnasium_Raublingd42642650.069
2009-02-25Gymnasium_Raublingd42652660.138
2009-02-27Gymnasium_Raublingd42662670.276
2009-05-08NoWhereManbbox_2ndTurion2672680.552
2011-04-07Sebastian AlbertSEB-NEU2682691.103
2011-05-27ANONYMOUSCHRIS012692702.206
2011-09-08XyzzyManual testing2702714.413


ECM factoring results:
No ECM results for M54193231


Lucas-Lehmer results:
No L-L results for M54193231


PRP results:
No PRP results for M54193231


CERT results:
No CERT results for M54193231


P-1 factor-bounds graph:
102
103
104
102
103
104
105
106
TF factor-bounds graph:
271
270
269
268
267
266
265
264
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