is 2 78864367 - 1
has 23740541 decimal digits
takes 246.095 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
Actual27597.026264.0000 %685000131862506.18123.7407 %103.207465.3467 %
Target27597.026264.0000 %5000008500000023.09323.7760 %120.119365.3594 %
Difference---+185000-71813750-16.9119-0.0353 %-16.9119-0.0127 %

Known prime factors (1 factor, 101.3 bits, 0.00012851% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
78864367322039452111196513564472897251331101.34520417297720223666637968
24 × 3 × 19 × 181 × 601 × 1291 × 15077 × 10573267
2016-07-1015077105732672.207e+92.67104.8682

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-07-10wombatman68500013186250231101.3456.1813.741%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-06-23Jossv4_computers212570.000
2008-02-031997rj7v4_computers212630.012
2008-06-021997rj7v4_computers212640.025
2010-11-15jomateix00222642650.047
2010-12-03ANONYMOUS2652660.095
2010-12-04oilwarzonedotcomepprisma2662670.190
2010-12-07oilwarzonedotcomepprisma2672680.379
2010-12-13arnaudSPR042682690.758
2010-12-16Craig MeyersManual testing2692701.516
2013-04-06Clown_RoyalManual testing2702713.032
2016-02-08Judge HaleManual testing2712726.064
2016-06-22CacheOutManual testing27227312.13
2016-06-26TheJudgerManual testing27327572.77


ECM factoring results:
No ECM results for M78864367


Lucas-Lehmer results:
No L-L results for M78864367


PRP results:
No PRP results for M78864367


CERT results:
No CERT results for M78864367


P-1 factor-bounds graph:
B1 = 685000, B2 = 13186250 (P-1 stage 2)
B1 = 685000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
275
273
272
271
270
269
268
267
266
265
264
263
257
this exponent TF target: 75
TF double-checked to: 67
250
260
270
280
290
2100
2110
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00