is 2 81282431 - 1
has 24468450 decimal digits
takes 253.641 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27594.139864.0000%6800006800003.07681.5839%97.216664.5702%0.5702%
PrimeNet2715.881761.9718%340000160000005.39895.2570%11.280663.9710%1.9991%
GPU7227594.139864.0000%550000180000006.79033.8823%100.930165.3976%1.3976%
Difference---+130000-17320000-3.7135-2.2984%-3.7135-0.8274%-0.8274%

Known prime factors (1 factor, 78.6 bits, 0.00009673% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
812824314650658818216539165309592478.6222860801996815609
3 × 7 × 11 × 2339 × 14081 × 376021
2017-05-28140813760211,468.60.15290.1731

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-05-29T02:14:40Jwb52zClay6800006800002478.6223.077507.36.1541.584%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-12-12T19:50:00Architects Cubedm1_37264265--0.046--
2011-02-17T18:30:00steinrarManual testing265267--0.276--
2011-02-17T18:30:00steinrarManual testing267268--0.368--
2011-02-17T18:30:00steinrarManual testing268269--0.735--
2011-02-17T18:30:00steinrarManual testing269270--1.471--
2011-02-17T18:30:00steinrarManual testing270271--2.942--
2016-09-10T05:55:14Judge HaleManual testing271272--5.884--
2016-09-10T05:55:14Judge HaleManual testing272273--11.77--
2016-11-12T00:56:43ANONYMOUSManual testing273274--23.54--
2016-11-12T00:56:43ANONYMOUSManual testing274275--47.07--


ECM factoring results:
No ECM results for M81282431


Lucas-Lehmer results:
No L-L results for M81282431


PRP results:
No PRP results for M81282431


P-1 factor-bounds graph:
B1 = 680000 (P-1 stage 1)
103
104
105
106
103
104
105
106
TF factor-bounds graph:
275
274
273
272
271
270
269
268
267
265
250
260
270
280
290
2100
Last modified: 2017-05-29T02:14:40+00:00