is 2 4041601 - 1
has 1216644 decimal digits
takes 0.504 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
Actual2677.352067.1642%180000965936400.98256.4794%8.334569.2918%2.1276%
PrimeNet2610.076063.9344%160003200000.00592.7329%0.081964.9201%0.9857%
GPU722651.805266.1538%220003600000.00731.7525%1.812566.7470%0.5931%
Difference+2+5.5469+1.0103%+158000+96233640+0.9752+4.7270%+6.5221+2.5448%+1.5344%

Known prime factors (2 factors, 99.1 bits, 0.00245122% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4041601646656161929.26880
24 × 5
-16161.800e-112.894e-65.889e-6
404160110277229243357228036072269.800127143046077003
32 × 112 × 89 × 137 × 9575339
2021-08-04137957533944.5420.09440.1762

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
40416016645833608226319833406595727273099.068
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-09-05T00:51:47harleei5-4250U_130018000096593640-
skipped known factor: 646656161
skipped known factor: 1027722924335722803607
--0.983--6.479%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-04T15:15:34ATHec2-P_15000005000000027P-12269.8000.543


Trial Factoring results:
No TF results for M4041601


ECM factoring results:
Total ECM effort:0.541 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.541


Lucas-Lehmer results:
No L-L results for M4041601


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:24:41kkmrkkblmbrbkManual testing
646656161
A97A9D3663FAF0__no
2018-01-07T22:37:44Oliver KruseGTX-3
646656161
A97A9D3663FAF0__no
2021-08-04T16:23:18ATHec2-PRPCF
646656161
1027722924335722803607
E0B6877DB9A18649no


P-1 factor-bounds graph:
B1 = 180000, B2 = 96593640 (P-1 stage 2)
B1 = 500000, B2 = 50000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 180000 (P-1 stage 1)
100
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102
103
104
105
106
100
101
102
103
104
105
106
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108
TF factor-bounds graph:
267
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230
240
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2100
Last modified: 2022-09-05T00:51:47+00:00