is 2 78781867 - 1
has 23715706 decimal digits
takes 245.838 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
Actual27597.127864.0000 %685000137000006.30793.7694 %103.435665.3570 %
Target27597.127864.0000 %5000008500000023.09323.7755 %120.220965.3592 %
Difference---+185000-71300000-16.7853-0.0061 %-16.7853-0.0022 %

Known prime factors (1 factor, 82.9 bits, 0.00010519% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7878186788646017923876532533339432582.87456260419624148113
33 × 11 × 19 × 53 × 82793 × 2272079
2016-06-2682793227207923,1780.91431.0461

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-06-26TheJudgerManual testing68500013700000622582.8747.3223.769%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-07-03Jossv4_computers212570.000
2008-01-151997rj7v4_computers212630.012
2008-04-241997rj7v4_computers212640.025
2010-11-07ANONYMOUS2642650.047
2011-03-14JaeckelH24FC0812652660.095
2011-03-14ANONYMOUS2662670.190
2011-03-17Frank BalzerMicroscope2672680.379
2011-03-29kevshawTC44002682690.759
2013-02-11Clown_RoyalManual testing2692701.518
2013-05-25arnaudattax092702713.035
2016-02-16DerekManual testing2712726.071
2016-06-14GregManual testing27227312.14
2016-06-20TheJudgerManual testing27327572.85


ECM factoring results:
No ECM results for M78781867


Lucas-Lehmer results:
No L-L results for M78781867


PRP results:
No PRP results for M78781867


CERT results:
No CERT results for M78781867


P-1 factor-bounds graph:
B1 = 685000, B2 = 13700000 (P-1 stage 2)
B1 = 685000 (P-1 stage 1)
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108
TF factor-bounds graph:
275
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270
269
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267
266
265
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257
this exponent TF target: 75
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00