is 2 71891389 - 1
has 21641465 decimal digits
takes 192.210 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
Actual27453.217363.5135 %665000139650005.38724.1065 %58.604565.0118 %
Target27453.217363.5135 %5000008500000019.78614.1168 %73.003465.0156 %
Difference---+165000-71035000-14.3989-0.0102 %-14.3989-0.0037 %

Known prime factors (1 factor, 76.0 bits, 0.00010567% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
71891389739338642528467821303932375.969514205284396764
22 × 3 × 137 × 55681 × 5617301
2014-12-20556815617301162.281.39062.2160

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2014-12-20Patrik Johanssonrho665000139650001222375.9695.3874.107%


Trial Factoring results:
575859606162636465666768697071727374
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-10-14ANONYMOUSManual testing212640.026
2010-05-14Stefan PriehseATOM-3302642650.052
2010-05-17symalladSchool_Laptop2652660.104
2010-05-21symalladSchool_Laptop2662670.208
2010-05-24symalladSchool_Laptop2672680.416
2010-06-02Per Jessendell22682690.832
2012-06-07tscv4_computers212701.663
2014-05-18HBendtzManual testing2702713.326
2014-08-14kdgehmanManual testing27127446.57


ECM factoring results:
No ECM results for M71891389


Lucas-Lehmer results:
No L-L results for M71891389


PRP results:
No PRP results for M71891389


CERT results:
No CERT results for M71891389


P-1 factor-bounds graph:
B1 = 665000, B2 = 13965000 (P-1 stage 2)
B1 = 665000 (P-1 stage 1)
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108
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