is 2 31327 - 1
has 9431 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
Actualunknown20000000050000000000.368648.9045%0.368648.9045%48.9045%
PrimeNet2400.000062.5000%500100000.00004.1490%0.000064.0559%1.5559%
GPU722440.000165.9091%500100000.00001.7811%0.000166.5163%0.6072%
Difference-44-0.0001-65.9091%+199999500+4999990000+0.3686+47.1234%+0.3685-17.6118%-17.6118%

Known prime factors (3 factors, 220.7 bits, 0.70459721% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3132764972199825.9531037
17 × 61
-17611.747e-101.549e-82.763e-8
313271327173955487776972013874072786.7782118258938755349972889
3 × 309347741 × 2282500304143
2015-04-243093477412282500304143917,024,87399.56185.51
3132732392529082473923187261789468815933107.9975170065611529020204178789777
33 × 19 × 10078100607269045232317329
2017-06-0527100781006072690452323173295.161e+124.386e+148.191e+14

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
31327862294103435689874933028568369799334112.732
313272104613845659783149633487250464010949164141133.951
3132742990520950639767572524919486916170791759701302870
414613713
59194.776
3132727931886823186361560358360013628953450001988732306
55849494669164887
67220.729
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-09T01:59:40kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 64972199
--0.369--41.255%


Trial Factoring results:
No TF results for M31327


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
250000250000005231.503
25000025000000620.178
10000001000000001,14513.16
10000001000000003664.207


Lucas-Lehmer results:
No L-L results for M31327


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:41:35Oliver KrusePRP
64972199
132717395548777697201387407
323925290824739231872617894688159
9DD1DFCBC248B369no
2017-09-21T20:27:24Oliver KruseManual testing
64972199
132717395548777697201387407
323925290824739231872617894688159
9DD1DFCBC248B369no
2017-10-02T10:35:57kkmrkkblmbrbkManual testing
64972199
132717395548777697201387407
323925290824739231872617894688159
9DD1DFCBC248B3__no
2017-12-07T03:12:54ATHxps
64972199
132717395548777697201387407
323925290824739231872617894688159
9DD1DFCBC248B3__no
2020-04-17T13:47:34Oliver KruseManual testing
64972199
132717395548777697201387407
323925290824739231872617894688159
CA70BF0D1132EC__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: 2020-04-17T13:47:34+00:00