is 2 1415039 - 1
has 425970 decimal digits
takes 0.054 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
Actual26720.998768.6567%500000150000000.07144.9136%21.070170.1968%1.5401%
PrimeNet2560.006862.5000%65001100000.00072.7679%0.007563.5380%1.0380%
GPU722600.108565.0000%6000700000.00051.2455%0.109165.4359%0.4359%
Difference+7+20.8901+3.6567%+494000+14930000+0.0709+3.6681%+20.9610+4.7609%+4.7609%

Known prime factors (2 factors, 94.3 bits, 0.00666083% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1415039138673823927.04749
72
-49491.277e-112.713e-65.521e-6
14150391702556216242139080872167.20660159338938437
3 × 24373 × 822759323
2018-09-132437382275932336.3482.48294.6350

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1415039236099979378712120041949066012994.253
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:14:01alpertronManual testing5000001500000012-
skipped known factor: 138673823
--0.071--4.914%


Trial Factoring results:
No TF results for M1415039


ECM factoring results:

Old Calculation Method

Total ECM effort:25.416 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.416 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.35725.749%
302500000.11389.315%
3510000000.00899.236%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024911.74
50000500000020.094
250000350000005013.58


Lucas-Lehmer results:
No L-L results for M1415039


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T18:54:34Oliver KruseGTX-2
138673823
4484D3CC437380__no
2017-10-26T10:30:06kkmrkkblmbrbkold
138673823
4484D3CC437380__no
2018-09-16T05:08:10Oliver KruseGTX-5
138673823
170255621624213908087
09711C425E5ED4__no
2018-09-16T05:16:27ANONYMOUS
138673823
170255621624213908087
09711C425E5ED4__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2022-01-18T14:03:29+00:00