is 2 4058917 - 1
has 1221856 decimal digits
takes 0.506 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
Actual2677.320767.1642 %180000965936400.98256.4828 %8.303269.2929 %
Target2651.797466.1538 %2200018000000.02151.7538 %1.818966.7475 %
Difference+2+5.5232+1.0103 %+158000+94793640+0.9610+4.7290%+6.4842+2.5454 %

Known prime factors (2 factors, 76.0 bits, 0.00187266% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4058917648452579931135.9167988
22 × 1997
-419971.950e-92.036e-53.678e-5
405891711729295989931340.093144488
23 × 18061
2013-10-048180614.599e-80.00020.0003

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-09-10USAFSSUSAFSACS18000096593640
skipped known factor: 64845257993
skipped known factor: 1172929598993
--1.0377.858%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2013-10-04TJAOIManual testing??
40.093
13


ECM factoring results:
Total ECM effort:0.572 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.572


Lucas-Lehmer results:
No L-L results for M4058917


PRP results:
dateuseridcompidcofactorsres64
2017-11-13Oliver KruseGTX-0
64845257993
1172929598993
AD5713398B3F77BC
2017-12-20kkmrkkblmbrbkc4.xlarge
64845257993
1172929598993
AD5713398B3F77BC


CERT results:
No CERT results for M4058917


P-1 factor-bounds graph:
B1 = 180000, B2 = 96593640 (P-1 stage 2)
B1 = 180000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
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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270
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Last modified: 2024-03-13T02:15:48+00:00