is 2 4104509 - 1
has 1235581 decimal digits
takes 0.512 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
Actual2677.239367.1642 %2000001081852201.10026.7106 %8.339569.3677 %
Target2651.777566.1538 %2200020000000.02351.8089 %1.801066.7661 %
Difference+2+5.4619+1.0103 %+178000+106185220+1.0767+4.9017%+6.5385+2.6016 %

Known prime factors (1 factor, 41.2 bits, 0.00100315% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
410450924813480798791341.174302271
3 × 19 × 5303
-1953031.018e-75.550e-59.756e-5

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-09-07USAFSS6917th_Scty_Sq200000108185220
skipped known factor: 2481348079879
--1.1618.113%


Trial Factoring results:
5758596061626364656667
No TF results for M4104509


ECM factoring results:
Total ECM effort:0.573 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.573


Lucas-Lehmer results:
No L-L results for M4104509


PRP results:
dateuseridcompidcofactorsres64
2017-11-14kkmrkkblmbrbkc4.xlarge
2481348079879
F5BDABAF4E7A80A8
2018-01-12Oliver KruseGTX-0
2481348079879
F5BDABAF4E7A80A8


CERT results:
No CERT results for M4104509


P-1 factor-bounds graph:
B1 = 200000, B2 = 108185220 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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Last modified: 2024-03-13T02:15:48+00:00