is 2 53023727 - 1
has 15961733 decimal digits
takes 101.580 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
Actual2681.124161.7647 %----1.124161.7647 %
Target27336.075364.3836 %3600006000000010.02613.9118 %46.101465.7768 %
Difference-5-34.9511-2.6189 %-360000-60000000-10.0261-3.9118 %-44.9773-4.0121 %

Known prime factors (1 factor, 82.4 bits, 0.00015542% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5302372764173929681430677523299772582.40860514352076223044
22 × 35 × 383 × 221509 × 733841
2010-04-0422150973384120,0080.69291.2523

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2010-04-04Patrik Johanssonalpha2582.4084.8510.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-01ANONYMOUSv4_computers212532.26000e-5
2000-03-01ANONYMOUSv4_computers212544.53000e-5
2000-05-17ANONYMOUSv4_computers212560.000
2001-07-17ANONYMOUSv4_computers212570.000
2002-06-09ANONYMOUSv4_computers212580.001
2004-04-091997rj7v4_computers212600.001
2007-08-141997rj7v4_computers212630.019
2008-09-01ANONYMOUSManual testing212640.035
2009-02-24Helmut Zulustoskana22642650.070
2009-05-06lindedKCTZ72F2652660.141
2009-07-12SAHS Tech Deptcad112662670.282
2009-07-16SDCoctopusuk22672680.564


ECM factoring results:
No ECM results for M53023727


Lucas-Lehmer results:
No L-L results for M53023727


PRP results:
No PRP results for M53023727


CERT results:
No CERT results for M53023727


P-1 factor-bounds graph:
104
105
106
104
105
106
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
290
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Last modified: 2024-03-13T02:15:48+00:00