is 2 78745613 - 1
has 23704792 decimal digits
takes 245.725 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
Actual27597.172564.0000 %665000133000006.12373.7332 %103.296265.3439 %
Target27597.172564.0000 %5000008500000023.09323.7753 %120.265765.3591 %
Difference---+165000-71700000-16.9695-0.0421 %-16.9695-0.0152 %

Known prime factors (1 factor, 87.7 bits, 0.00011132% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
787456132450318731063866267791775532787.6631555844597377041352
23 × 1181 × 3083 × 64901 × 823003
2016-07-0364901823003583,4290.48050.5976

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-07-03TheJudgerManual testing665000133000001222787.6637.1083.733%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-07-03Jossv4_computers212570.000
2008-01-151997rj7v4_computers212630.012
2008-04-241997rj7v4_computers212640.025
2010-11-09Ethan O'ConnorManual testing2642650.047
2010-11-10Ethan O'ConnorManual testing2652670.285
2011-01-15eon_blue_apocalypsecon-cloud0-cc02672680.380
2011-01-16S00030vd132682690.759
2011-01-17S00030vd132692701.518
2013-06-13Kenneth_NewcomerKensDell2702713.037
2016-01-31RichD0Manual testing2712726.073
2016-06-16Matthias WurtingerManual testing27227312.15
2016-06-21AirSquirrelsManual testing27327572.88


ECM factoring results:
No ECM results for M78745613


Lucas-Lehmer results:
No L-L results for M78745613


PRP results:
No PRP results for M78745613


CERT results:
No CERT results for M78745613


P-1 factor-bounds graph:
B1 = 665000, B2 = 13300000 (P-1 stage 2)
B1 = 665000 (P-1 stage 1)
103
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108
TF factor-bounds graph:
275
273
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271
270
269
268
267
265
264
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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