is 2 53278903 - 1
has 16038548 decimal digits
takes 102.069 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
Actual2681.118761.7647 %----1.118761.7647 %
Target27335.902564.3836 %3600006000000010.02613.9142 %45.928665.7777 %
Difference-5-34.7837-2.6189 %-360000-60000000-10.0261-3.9142 %-44.8099-4.0130 %

Known prime factors (1 factor, 84.4 bits, 0.00015834% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
53278903248979731744872386036534712684.364233656961503948745
5 × 7 × 443 × 6469 × 7229 × 322249
2010-10-077229322249117,5450.06780.0911

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2010-10-07kmdZeus2684.3641.9360.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-08ANONYMOUSv4_computers212532.25000e-5
2000-03-01ANONYMOUSv4_computers212544.50000e-5
2000-05-24ANONYMOUSv4_computers212560.000
2001-07-29ANONYMOUSv4_computers212570.000
2002-06-29ANONYMOUSv4_computers212580.001
2004-04-291997rj7v4_computers212600.001
2008-08-04ANONYMOUSManual testing212640.035
2009-03-01ANONYMOUSjhoness2642650.070
2009-03-04ANONYMOUSjhoness2652660.140
2009-03-05kutensantares2662670.281
2009-05-01SAHS Physics Clubphysicsclub102672680.561


ECM factoring results:
No ECM results for M53278903


Lucas-Lehmer results:
No L-L results for M53278903


PRP results:
No PRP results for M53278903


CERT results:
No CERT results for M53278903


P-1 factor-bounds graph:
102
103
104
102
103
104
105
106
TF factor-bounds graph:
268
267
266
265
264
260
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67
250
260
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280
290
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Last modified: 2024-03-13T02:15:48+00:00