is 2 78156349 - 1
has 23527406 decimal digits
takes 243.886 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
Actual27597.905164.0000 %675000128250006.04943.7088 %103.954565.3352 %
Target27597.905164.0000 %5000008500000023.09323.7718 %120.998365.3578 %
Difference---+175000-72175000-17.0438-0.0630 %-17.0438-0.0227 %

Known prime factors (1 factor, 83.7 bits, 0.00010705% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
78156349153443069070098464310414632683.66698164174141564919
85601 × 590921 × 1940639
2016-05-24590921194063936,7773.00655.4415

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-05-24James Heinrichi7-9206750001282500022683.6666.0493.709%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2004-03-16AxelFoxv4_computers212620.004
2008-03-031997rj7v4_computers212640.025
2010-12-25symalladSchool_Laptop2642650.048
2010-12-30PVasilevrtvcautoque2652660.096
2010-12-31MrDeathEpsilon2662670.191
2011-02-06S485122Q67-W2672702.677
2013-01-18Dr. DwayneNapa2702713.060
2014-03-28snme2pm1Manual testing2712726.119
2016-05-18Matthias WurtingerManual testing27227312.24
2016-05-21PDWManual testing27327573.43


ECM factoring results:
No ECM results for M78156349


Lucas-Lehmer results:
No L-L results for M78156349


PRP results:
No PRP results for M78156349


CERT results:
No CERT results for M78156349


P-1 factor-bounds graph:
B1 = 675000, B2 = 12825000 (P-1 stage 2)
B1 = 675000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 75
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00