is 2 334013431 - 1
has 100548062 decimal digits
takes 4,968.450 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
Actual278183.275662.8205 %298000079715000154.44815.4696 %337.723764.8541 %
Target2811,466.208464.1975 %2000000400000000510.83734.0587 %1,977.045665.6507 %
Difference-3-1,282.9328-1.3770 %+980000-320285000-356.3892+1.4108%-1,639.3220-0.7966 %

Known prime factors (1 factor, 84.1 bits, 0.00002517% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
334013431204501713715413085463303672684.08030612797979883193
5867 × 549481 × 9495859
2020-11-08549481949585911,73022.36524.120

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-11-08GANManual testing29800007971500022684.080154.44.237%


Trial Factoring results:
57585960616263646566676869707172737475767778798081
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2012-12-08krackerManual testing2662670.045
2014-11-21mikrManual testing2672690.268
2014-11-21mikrManual testing2692700.358
2016-01-06Jacques MOLNEManual testing2702710.716
2016-01-06Jacques MOLNEManual testing2712721.432
2019-09-01GANManual testing2722732.864
2019-09-23GANManual testing2732745.727
2019-11-26GANManual testing27427511.45
2019-12-06GANManual testing27527622.91
2020-05-09GANManual testing27627745.82
2020-05-09GANManual testing27727891.64


ECM factoring results:
No ECM results for M334013431


Lucas-Lehmer results:
No L-L results for M334013431


PRP results:
No PRP results for M334013431


CERT results:
No CERT results for M334013431


P-1 factor-bounds graph:
B1 = 2980000, B2 = 79715000 (P-1 stage 2)
B1 = 2980000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
TF factor-bounds graph:
278
277
276
275
274
273
272
271
270
269
267
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