is 2 53209381 - 1
has 16017620 decimal digits
takes 101.935 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
Actual2681.120261.7647 %----1.120261.7647 %
Target27335.949464.3836 %3600006000000010.02613.9136 %45.975565.7774 %
Difference-5-34.8292-2.6189 %-360000-60000000-10.0261-3.9136 %-44.8553-4.0127 %

Known prime factors (1 factor, 99.0 bits, 0.00018603% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
532093816282893488435712168670416702893098.9875903934015353150010024
23 × 32 × 72 × 197 × 17033 × 384227 × 1297979
2010-09-1038422712979791.996e+91.20562.1722

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2010-09-10SunfishMain3098.9875.0610.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-08ANONYMOUSv4_computers212532.26000e-5
2000-03-01ANONYMOUSv4_computers212544.51000e-5
2000-05-17ANONYMOUSv4_computers212560.000
2001-07-29ANONYMOUSv4_computers212570.000
2002-06-23ANONYMOUSv4_computers212580.001
2004-04-201997rj7v4_computers212600.001
2008-09-29ANONYMOUSManual testing212640.035
2008-12-17Sturle Sundeeames.ifi2642650.070
2008-12-18Sturle Sundegerle.ifi2652670.421
2009-05-13ANONYMOUS2672680.562


ECM factoring results:
No ECM results for M53209381


Lucas-Lehmer results:
No L-L results for M53209381


PRP results:
No PRP results for M53209381


CERT results:
No CERT results for M53209381


P-1 factor-bounds graph:
104
105
106
104
105
106
107
TF factor-bounds graph:
268
267
265
264
260
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00