is 2 404419 - 1
has 121743 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
Actual26773.473171.6418 %30000001000000000.11657.1231 %73.589673.6618 %
Target2440.000056.8182 %700011000000.000913.0825 %0.000962.4675 %
Difference+23+73.4731+14.8236 %+2993000+98900000+0.1155-5.9595 %+73.5886+11.1943 %

Known prime factors (1 factor, 40.6 bits, 0.01004948% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
40441917157977554571340.6422121312
25 × 3 × 19 × 1163
-3211634.196e-71.316e-61.662e-6

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing300000010000000012
skipped known factor: 1715797755457
---34.588%
2022-11-01Kevin_9611Manual testing250000002500000011340.6420.35128.729%


Trial Factoring results:
5758596061626364656667
No TF results for M404419


ECM factoring results:
Total ECM effort:10.550 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
5000050000002812.962
250000250000001447.588


Lucas-Lehmer results:
No L-L results for M404419


PRP results:
dateuseridcompidcofactorsres64
2017-09-23Oliver KruseOllaptop
1715797755457
08FD00DA8130ECBC
2017-11-02kkmrkkblmbrbkc4.xlarge
1715797755457
08FD00DA8130ECBC
2020-04-18Oliver KruseAddPrpType5
1715797755457
1E52449C7595CCB5


CERT results:
No CERT results for M404419


P-1 factor-bounds graph:
B1 = 25000000 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
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108
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
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Last modified: 2024-03-13T02:15:48+00:00