is 2 53474041 - 1
has 16097291 decimal digits
takes 105.648 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
Actual2681.114761.7647 %----1.114761.7647 %
Target27335.771564.3836 %3600006000000010.33993.9160 %46.111465.7783 %
Difference-5-34.6568-2.6189 %-360000-60000000-10.3399-3.9160 %-44.9967-4.0136 %

Known prime factors (1 factor, 77.7 bits, 0.00014528% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
534740412430110755158409753246092477.6852272234068824544
25 × 34 × 11 × 59407 × 1341491
2010-12-08594071341491932.180.37030.3911

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2010-12-08Helmut Kirrmaierhelmutk2477.6854.9550.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-08ANONYMOUSv4_computers212532.24000e-5
2000-03-01ANONYMOUSv4_computers212544.49000e-5
2000-05-24ANONYMOUSv4_computers212560.000
2001-08-12ANONYMOUSv4_computers212570.000
2002-07-14ANONYMOUSv4_computers212580.001
2004-05-111997rj7v4_computers212600.001
2007-09-131997rj7v4_computers212630.018
2008-07-01ANONYMOUSManual testing212640.035
2009-05-17Rassilon621F4LB12642650.070
2009-05-24Rassilon621F4LB12652660.140
2009-05-30Rassilon621F4LB12662670.279
2009-06-08Rassilon621F4LB12672680.559


ECM factoring results:
No ECM results for M53474041


Lucas-Lehmer results:
No L-L results for M53474041


PRP results:
No PRP results for M53474041


CERT results:
No CERT results for M53474041


P-1 factor-bounds graph:
103
104
105
103
104
105
106
107
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
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Last modified: 2024-03-13T02:15:48+00:00