is 2 4034791 - 1
has 1214594 decimal digits
takes 0.503 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6F8353DF0BB87918double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2677.364467.1642 %400005800000.01261.7695 %7.377067.7452 %
Target2651.808266.1538 %2200018000000.02151.7519 %1.829766.7468 %
Difference+2+5.5562+1.0103 %+18000-1220000-0.0089+0.0176%+5.5473+0.9984 %

Known prime factors (2 factors, 134.2 bits, 0.00332621% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4034791174347500685728230172063.9192160551818988
22 × 540137954747
2017-06-1245401379547470.81985,322.09,940.0
403479114406020673058915076232270.287178522514215221
3 × 11 × 1193 × 3167 × 1431827
2012-09-213167143182766.4190.01460.0263

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-14Carsten Kossendeymother20000290000--0.0061.606%
2011-06-26USAFSSP4_260040000580000--0.0132.302%
2012-09-21Squeeky_SquirrelP4_26002270.2870.1070.000%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-08-04David Campeauv4_computers212610.038
2009-11-17GrunwalderGIMPManual testing212630.395
2017-06-12TJAOIManual testing263264*
63.919
20
0.447


ECM factoring results:
Total ECM effort:0.355 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.355


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-22ANONYMOUSv4_computers6F8353DF0BB879180.503


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
1440602067305891507623
17434750068572823017
8CE9712FF24FB76B
2017-12-20kkmrkkblmbrbkc4.xlarge
17434750068572823017
1440602067305891507623
8CE9712FF24FB76B


CERT results:
No CERT results for M4034791


P-1 factor-bounds graph:
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 290000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
263
261
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