is 2 500431 - 1
has 150645 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown1000000011100000001.194351.1177%1.194351.1177%51.1177%
PrimeNet2400.000052.5000%50001700000.000219.1028%0.000261.5738%9.0738%
GPU722440.000056.8182%90002800000.000414.3581%0.000463.0183%6.2001%
Difference-440.0000-56.8182%+9991000+1109720000+1.1939+36.7596%+1.1939-11.9006%-11.9006%

Known prime factors (2 factors, 126.9 bits, 0.02535840% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
50043118728890399131340.7681871276
22 × 11 × 71 × 599
-715993.038e-71.704e-62.468e-6
500431848366097820168848785675832686.13384763543607427282561
33 × 479 × 3225479 × 2031962123
2020-08-073225479203196212338,372,2031.94273.5312

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
50043115888955664411542773297548811555494027939126.901
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T18:48:28alpertronManual testing15000005000000012-
skipped known factor: 1872889039913
--0.071--32.758%
2021-08-02T00:13:23ViliamF3100000001110000000-
skipped known factor: 1872889039913
--1.194--42.426%


Trial Factoring results:
No TF results for M500431


ECM factoring results:

Old Calculation Method

Total ECM effort:19.265 GHz-days
Estimated T-Level:26.883
DigitsB1CurvesCompleteFacMiss
2011000522 / 1005.2200.527%
2550000522 / 2801.86415.449%
30250000241 / 6400.37768.601%

New Calculation Method

Total ECM effort:19.265 GHz-days
Estimated T-Level:26.883
DigitsB1CompleteFacMiss
201100029.1480.000%
25500003.7232.416%
302500000.36469.500%
3510000000.02897.202%
4030000000.00299.817%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002813.643
250000250000001449.334
25000025000000976.288


Lucas-Lehmer results:
No L-L results for M500431


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T09:43:49Oliver KruseGTX-0
1872889039913
730ED87BFA43E8__no
2017-11-03T03:19:02kkmrkkblmbrbkc4.xlarge
1872889039913
730ED87BFA43E8__no
2020-04-18T23:46:50Oliver KruseAddPrpType5
1872889039913
6E93BC3156D993__no
2020-08-07T02:40:56CrypticCluecruncher
1872889039913
84836609782016884878567583
6E93BC3156D9939Bno


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1110000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
100
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102
103
104
105
106
107
100
101
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103
104
105
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1010
TF factor-bounds graph:
240
250
260
270
280
290
2100
Last modified: 2021-08-02T00:13:23+00:00