is 2 31387 - 1
has 9449 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
Actual267946.695177.6119%20000000050000000000.368612.3633%947.063780.3798%2.7679%
PrimeNet2400.000062.5000%500100000.00004.1510%0.000064.0566%1.5566%
GPU722440.000165.9091%500100000.00001.7821%0.000166.5166%0.6075%
Difference+23+946.6950+11.7028%+199999500+4999990000+0.3686+10.5812%+947.0636+13.8632%+13.8632%

Known prime factors (3 factors, 175.0 bits, 0.55762514% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3138759509753825.827948
22 × 3 × 79
-4791.716e-106.459e-96.502e-9
3138712063460996871340.13419217289
3 × 7 × 13 × 70393
2008-08-2613703937.403e-63.073e-65.721e-6
3138767725505769616199307682473015663933109.06110788782898909771451187191037
132 × 14897 × 4285356250557485443909
2017-06-111489742853562505574854439095.160e+121.865e+113.483e+11

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
31387717893584248867473112065.960
313874030328120149934925598954971591323820016741134.888
3138781700399734505917225755580977496770621887199345149.195
3138748619706082017127111431598623423313780061636242047
729
53175.022
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-09T01:59:41kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 59509753
skipped known factor: 1206346099687
--0.369--12.363%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??40.134132.73641e-63.53908e-55.60145e-6


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
10000001000000001,45316.70
1000000100000000580.667


Lucas-Lehmer results:
No L-L results for M31387


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:41:47Oliver KruseOllaptop
59509753
1206346099687
677255057696161993076824730156639
D7E1BD90DB0FAEB3no
2017-09-21T21:29:02Oliver KruseManual testing
59509753
1206346099687
677255057696161993076824730156639
D7E1BD90DB0FAEB3no
2017-10-02T10:35:57kkmrkkblmbrbkManual testing
59509753
1206346099687
677255057696161993076824730156639
D7E1BD90DB0FAE__no
2017-12-07T03:12:55ATHxps
59509753
1206346099687
677255057696161993076824730156639
D7E1BD90DB0FAE__no
2020-04-17T13:47:35Oliver KruseManual testing
59509753
1206346099687
677255057696161993076824730156639
A52F5D304E43CA__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: 2020-04-17T13:47:35+00:00