is 2 1417901 - 1
has 426831 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
Actual26720.956368.6567%15000001815000000.62608.3059%21.582271.2601%2.6034%
PrimeNet2560.006862.5000%65001100000.00072.7690%0.007463.5384%1.0384%
GPU722600.108365.0000%6000800000.00061.3012%0.108965.4554%0.4554%
Difference+7+20.8479+3.6567%+1494000+181420000+0.6254+7.0047%+21.4734+5.8046%+5.8046%

Known prime factors (3 factors, 170.1 bits, 0.01199366% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1417901144625903927.10851
3 × 17
-3171.275e-112.083e-73.380e-7
14179011750219593986908010812167.24661718681134540
22 × 5 × 19 × 162417581933
2018-09-171916241758193333.459489.89914.99
1417901615581606549602989671292375.70421707496029327964
22 × 3 × 38601677 × 46862161
2019-01-2538601677468621616,756.42.16204.3493

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1417901253127089228649941241330011432994.354
1417901890290457174270466727099894248731102.812
14179011077402989481054697705161141716691789666644944142.950
141790115582038024859703704800095788128752025322458764284
47
52170.058
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:14:03alpertronManual testing5000001500000012-
skipped known factor: 144625903
--0.071--4.915%
2021-07-01T14:16:45Dylan Delgadodesktoplinux1500000181500000-
skipped known factor: 144625903
--0.626--8.306%


Trial Factoring results:
No TF results for M1417901


ECM factoring results:

Old Calculation Method

Total ECM effort:25.425 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:25.425 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.35725.749%
302500000.11389.315%
3510000000.00899.236%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001919.006
50000500000010.047
500005000000592.782
250000350000005013.59


Lucas-Lehmer results:
No L-L results for M1417901


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T19:26:14Oliver KruseGTX-2
144625903
7F45A092CFB5A0__no
2017-10-26T11:06:00kkmrkkblmbrbkc4.xlarge
144625903
7F45A092CFB5A0__no
2018-09-20T17:07:13Justine V.Gible_Desktop_1
144625903
175021959398690801081
7363DDAFD98336__no
2018-09-24T17:26:12Oliver KruseGTX-4
144625903
175021959398690801081
7363DDAFD98336__no
2019-01-25T13:18:38ATHwork102442
144625903
175021959398690801081
61558160654960298967129
7363DDAFD9833650no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 181500000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-19T10:15:39+00:00