is 2 81416651 - 1
has 24508855 decimal digits
takes 254.060 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
Actual27593.984664.0000 %685000130150006.13903.7454 %100.123665.3483 %
Target27593.984664.0000 %5500009000000024.53973.8831 %118.524265.3979 %
Difference---+135000-76985000-18.4007-0.1378 %-18.4007-0.0496 %

Known prime factors (1 factor, 86.9 bits, 0.00010679% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
814166511488047813186398835772914712786.944913847348736070485
3 × 5 × 11 × 192 × 47 × 443917 × 735331
2017-06-06443917735331364,3462.08044.0878

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-06-06bamDesk6850001301500022786.9446.1393.745%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-12-14Architects Cubedm1_772642650.046
2011-02-20Ujjwal ChaliseDell_Inspiron_N50102652660.092
2011-02-21FrancoNeroaspire7520g2662670.184
2013-01-25SMoffatManual testing2672680.367
2013-01-27rjbelansManual testing2682690.734
2013-02-02rjbelansManual testing2692701.469
2013-06-12processinfoManual testing2702712.937
2016-09-28Judge HaleManual testing27127317.62
2016-11-06TheJudgerManual testing27327570.49


ECM factoring results:
No ECM results for M81416651


Lucas-Lehmer results:
No L-L results for M81416651


PRP results:
No PRP results for M81416651


CERT results:
No CERT results for M81416651


P-1 factor-bounds graph:
B1 = 685000, B2 = 13015000 (P-1 stage 2)
B1 = 685000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
275
273
271
270
269
268
267
266
265
this exponent TF target: 75
TF double-checked to: 67
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00