is 2 4139159 - 1
has 1246012 decimal digits
takes 0.516 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
Actual2677.178767.1642 %2000001352336701.36676.9259 %8.545469.4383 %
Target2651.762666.1538 %2200020000000.02351.8117 %1.786166.7670 %
Difference+2+5.4161+1.0103 %+178000+133233670+1.3432+5.1141%+6.7593+2.6713 %

Known prime factors (3 factors, 170.0 bits, 0.00410796% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
413915953948556658311342.295651685
5 × 130337
-51303371.497e-70.00130.0024
413915999463990770011343.1771201500
22 × 33 × 53 × 89
2008-09-301251253.015e-72.261e-54.601e-5
4139159285740737052790066594273912684.5633451676259027378105
32 × 5 × 101 × 9319 × 57503 × 1417217
2022-11-025750314172171,299,9520.02380.0261

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-11-02USAFSSUSAFSACS20000013523367022684.5631.4438.361%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-30markrManual testing??
43.177
13


ECM factoring results:
Total ECM effort:0.574 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.574


Lucas-Lehmer results:
No L-L results for M4139159


PRP results:
dateuseridcompidcofactorsres64
2017-11-15Oliver KruseGTX-2
5394855665831
9946399077001
891E2775EB3D6C80
2017-12-26kkmrkkblmbrbkold
5394855665831
9946399077001
891E2775EB3D6C80
2022-11-07Perigbronnlar
5394855665831
9946399077001
28574073705279006659427391
891E2775EB3D6C80


CERT results:
dateuseridcompid
2022-11-09KS2022VAIO


P-1 factor-bounds graph:
B1 = 200000, B2 = 135233670 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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290
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Last modified: 2024-03-13T02:15:48+00:00