is 2 82309873 - 1
has 24777741 decimal digits
takes 256.847 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
Actual27592.964664.0000 %7000007000003.16731.6070 %96.131964.5785 %
Target27592.964664.0000 %5500009000000024.53973.8884 %117.504365.3998 %
Difference---+150000-89300000-21.3724-2.2814 %-21.3724-0.8213 %

Known prime factors (1 factor, 90.4 bits, 0.00010979% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8230987315959207337734581675205680092890.3669694588726758563748
22 × 32 × 29 × 71 × 179 × 233 × 347 × 2417 × 3739
2016-11-13241737394,343,9960.01130.0223

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-11-13TheJudgerManual testing70000070000012890.3663.6771.607%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-12-17Architects Cubedm1_362642650.045
2011-03-14Åke TilanderPC51-114-092652660.091
2011-03-14voodoonsNikola-PC2662670.182
2011-03-15Aldo_GridAcer64_12672680.363
2011-03-16ASTERIASManual testing2682690.726
2013-01-30phoenicisManual testing2692701.453
2014-08-11SMoffatManual testing2702712.905
2016-11-04FredrikManual testing27127587.16


ECM factoring results:
No ECM results for M82309873


Lucas-Lehmer results:
No L-L results for M82309873


PRP results:
No PRP results for M82309873


CERT results:
No CERT results for M82309873


P-1 factor-bounds graph:
B1 = 700000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
TF factor-bounds graph:
275
271
270
269
268
267
266
265
this exponent TF target: 75
TF double-checked to: 67
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00