is 2 31039 - 1
has 9344 decimal digits
takes 0.000 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
Actualunknown20000000050000000000.368648.8887%0.368648.8887%48.8887%
PrimeNet2400.000062.5000%500100000.00004.1392%0.000064.0522%1.5522%
GPU722440.000165.9091%500100000.00001.7763%0.000166.5146%0.6055%
Difference-44-0.0001-65.9091%+199999500+4999990000+0.3686+47.1124%+0.3685-17.6259%-17.6259%

Known prime factors (2 factors, 152.7 bits, 0.49182539% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
310392174440239588311547.6283502754985
3 × 5 × 232 × 73 × 6047
-52960470.00066.626e-78.599e-7
310394141846257727931840668223691808732105.030667200337918092052042305437
1901 × 36640169197 × 9578922736021
2017-05-113664016919795789227360215.594e+12444.51778.53

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
31039900619716899186928048224182530549465040727629746152.658
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-09T01:59:40kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 217444023958831
--0.369--41.238%


Trial Factoring results:
No TF results for M31039


ECM factoring results:

Old Calculation Method

Total ECM effort:19.209 GHz-days
Estimated T-Level:34.782
DigitsB1CurvesCompleteFacMiss
20110002377 / 10023.7700.000%
25500002377 / 2808.4890.020%
302500002096 / 6403.2753.772%
3510000001511 / 15800.95638.418%

New Calculation Method

Total ECM effort:19.209 GHz-days
Estimated T-Level:34.782
DigitsB1CompleteFacMiss
2011000273.6720.000%
255000051.0390.000%
302500007.5270.054%
3510000000.88841.142%
4030000000.08691.741%
45110000000.00799.282%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.161
250000250000005851.681
10000001000000001,13213.01
10000001000000003794.356


Lucas-Lehmer results:
No L-L results for M31039


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:41:14Oliver KruseOllaptopFC5523194B0A6D__?
2017-09-21T21:38:48Oliver KruseManual testingFC5523194B0A6D__?
2017-10-02T10:35:43kkmrkkblmbrbkManual testing
217444023958831
41418462577279318406682236918087
FC5523194B0A6D__no
2017-12-07T03:12:46ATHxps
217444023958831
41418462577279318406682236918087
FC5523194B0A6D__no
2020-04-17T13:47:56Oliver KruseManual testing
217444023958831
41418462577279318406682236918087
27DB628927B75F__no


P-1 factor-bounds graph:
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-17T13:47:56+00:00