is 2 418109 - 1
has 125864 decimal digits
takes 0.004 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
Actualunknown30000001000000000.116534.6554%0.116534.6554%
Target2440.000056.8182%700011000000.000913.1404%0.000962.4924%
Difference-440.0000-56.8182%+2993000+98900000+0.1155+21.5150%+0.1155-27.8370%

Known prime factors (1 factor, 76.2 bits, 0.01821746% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
418109849378926240529511435032376.169101573863064479539
34 × 89 × 547 × 22739 × 1132787
-22739113278745,4680.00120.0016

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16alpertronManual testing300000010000000012-
skipped known factor: 84937892624052951143503
--0.116--34.655%


Trial Factoring results:
No TF results for M418109


ECM factoring results:
Total ECM effort:10.569 GHz-days
Estimated T-Level:26.435
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.967
250000250000001447.602


Lucas-Lehmer results:
No L-L results for M418109


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23Oliver KruseOllaptop
84937892624052951143503
CA88F3A9776B8B__no
2017-11-02kkmrkkblmbrbkc4.xlarge
84937892624052951143503
CA88F3A9776B8B__no
2020-04-18Oliver KruseAddPrpType5
84937892624052951143503
21FB0D75DA738B__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=26.44 ~= 71-bit
250
260
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280
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Last modified: 2023-10-02T12:12:48+00:00