is 2 346916771 - 1
has 104432355 decimal digits
takes 5,469.159 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
Actual2822,823.348064.6341 %16000000480000000943.63266.1083 %3,766.980666.7944 %
Target2811,411.673764.1975 %2000000400000000541.40324.0760 %1,953.077065.6568 %
Difference+1+1,411.6743+0.4366 %+14000000+80000000+402.2294+2.0323%+1,813.9036+1.1376 %

Known prime factors (1 factor, 88.2 bits, 0.00002543% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3469167713586708506595390358923858872788.213516940777503574533
32 × 773 × 1289653 × 57616373
2020-06-15128965357616373180,69499.63134.02

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-06-15Roland ClarksonManual testing1600000048000000022788.2131,0336.585%


Trial Factoring results:
5758596061626364656667686970717273747576777879808182
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2011-02-04Architects Cubedm1_592642650.011
2014-02-23Son JohanRetired2652660.022
2016-03-10Andrew BManual testing2662670.043
2016-07-15Jacques MOLNEManual testing2672690.258
2017-01-31ConductorManual testing2692700.345
2017-03-07Jacques MOLNEManual testing2702710.689
2017-03-07Jacques MOLNEManual testing2712721.379
2020-06-07Roland ClarksonManual testing2722822,821


ECM factoring results:
No ECM results for M346916771


Lucas-Lehmer results:
No L-L results for M346916771


PRP results:
No PRP results for M346916771


CERT results:
No CERT results for M346916771


P-1 factor-bounds graph:
B1 = 16000000, B2 = 480000000 (P-1 stage 2)
B1 = 16000000 (P-1 stage 1)
105
106
107
108
105
106
107
108
109
TF factor-bounds graph:
282
272
271
270
269
267
266
265
this exponent TF target: 81
TF double-checked to: 67
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00