is 2 13509631 - 1
has 4066805 decimal digits
takes 5.994 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
Actual2672.199564.1791 %3000002101291507.54778.9049 %9.747167.3689 %
Target2698.837265.2174 %90000110000000.44032.7827 %9.277566.1853 %
Difference-2-6.6377-1.0383 %+210000+199129150+7.1074+6.1222%+0.4697+1.1836 %

Known prime factors (2 factors, 85.8 bits, 0.00063532% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1350963138907737291031.857144
24 × 32
-992.184e-115.790e-61.178e-5
13509631176723657046593771753.972654065448
23 × 3 × 27252727
2014-10-248272527270.00010.95521.7841

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-07-08nordisweet16_30.8b14300000300000
skipped known factor: 3890773729
--0.2081.705%
2022-07-24nordisweet16_30.8b14300000210129150
skipped known factor: 3890773729
skipped known factor: 17672365704659377
--8.5327.444%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-10-24TJAOIManual testing253254*
53.972
17
8.63635e-5


ECM factoring results:
No ECM results for M13509631


Lucas-Lehmer results:
No L-L results for M13509631


PRP results:
dateuseridcompidcofactorsres64
2022-08-15LordJuliusDarkTower
3890773729
17672365704659377
D37664644D2543C0


CERT results:
dateuseridcompid
2022-08-15MurrayInfoSysHP15


P-1 factor-bounds graph:
B1 = 300000, B2 = 210129150 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
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109
TF factor-bounds graph:
this exponent TF target: 69
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00