is 2 68570431 - 1
has 20641757 decimal digits
takes 183.331 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
Actual27327.896163.0137 %670000145725005.53384.5339 %33.429964.6906 %
Target27455.794763.5135 %4500007500000017.49063.9398 %73.285364.9510 %
Difference-1-27.8986-0.4998 %+220000-60427500-11.9568+0.5942%-39.8554-0.2604 %

Known prime factors (1 factor, 81.2 bits, 0.00011847% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6857043128498538080071796927172472581.23720780486329502433
3 × 53 × 113 × 431611 × 2679709
2014-10-19431611267970911,1812.14813.4053

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2014-10-19BdotHeizer67000014572500622581.2375.5344.121%


Trial Factoring results:
575859606162636465666768697071727374
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2004-03-01mdrgv4_computers212600.001
2004-06-21mdrgv4_computers212610.002
2009-01-061997rj7Manual testing212640.029
2010-01-19badwolfBADWOLF2642650.054
2010-01-22ANONYMOUS42652660.109
2010-01-23TomRJBhome2662670.218
2010-01-27Per Jessenbeaufort12672680.436
2010-01-31Per Jessenbeaufort12682690.872
2013-05-02JoDuManual testing2692701.744
2013-06-29SMoffatManual testing2702713.487
2014-08-03Architects CubedManual testing2712726.975
2014-10-02LaurVManual testing27227313.95


ECM factoring results:
No ECM results for M68570431


Lucas-Lehmer results:
No L-L results for M68570431


PRP results:
No PRP results for M68570431


CERT results:
No CERT results for M68570431


P-1 factor-bounds graph:
B1 = 670000, B2 = 14572500 (P-1 stage 2)
B1 = 670000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 74
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00