is 2 31267 - 1
has 9413 decimal digits
takes 0.000 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-daysProbabilityProb over default TF
Actual267950.328477.6119%300000000091262649875397039,715.968231.9852%40,666.296684.7728%7.1609%
PrimeNet2400.000062.5000%500100000.00004.1470%0.000064.0551%1.5551%
GPU722440.000165.9091%500100000.00001.7801%0.000166.5159%0.6068%
Difference+23+950.3283+11.7028%+2999999500+912626498743970+39,715.9682+30.2051%+40,666.2965+18.2569%+6.5540%

Known prime factors (4 factors, 200.1 bits, 0.64004616% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
312673001633721.51748
24 × 3
-16169.028e-121.278e-82.601e-8
3126713069607823.640209
11 × 19
2008-08-2611193.736e-119.134e-91.788e-8
31267140889103927.0702253
3 × 751
2008-08-2637518.507e-103.495e-86.138e-8
3126731666398985443064160765201432288240992939127.8965063869092884361173244187391225292
22 × 3 × 523 × 3962927 × 1041066083 × 195571319105087
2022-11-0710410660831955713191050874.938e+128,511.215,895

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
31267392301636682311445.157
312674228973809051991548.587
3126718413652067925211650.710
3126755271025697602551867932272.227
3126795050908185872421006070133870803649676241405745149.414
31267413867389844939569456986001995844420498492790346151.536
312674461450548299183367181657023409405510937510368747154.966
3126712422780149824354946878812641287924754341524096265
599
53173.053
3126713391637193642922667983578716147444092011892060532
0871
54176.484
3126758309405316204845030000954904750730131587462077334
1009
54178.606
3126717502343520749589760193685627361164833706726855757
45892867697
61200.123
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-09T01:59:40kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 3001633
skipped known factor: 13069607
skipped known factor: 140889103
--0.369--12.360%
2022-10-04T23:33:26nordisweet16_ccx330000000003000000000-
skipped known factor: 3001633
skipped known factor: 13069607
skipped known factor: 140889103
--2.396--11.664%
2022-11-07T16:18:39nordisweet16_30.8b14300000000091262649875397039127.89639,7163.44458e-579,43231.985%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??23.64081.61686e-123.99431e-53.74979e-12
2008-08-26T19:59:00ANONYMOUSManual testing??27.07092.78873e-103.99421e-56.46742e-10


ECM factoring results:
Total ECM effort:19.209 GHz-days
Estimated T-Level:35.521
DigitsB1CompleteFacMiss
2011000315.8230.000%
255000059.6060.000%
302500008.7620.016%
3510000001.05034.999%
4030000000.10490.096%
45110000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.161
250000250000005851.681
10000001000000001,51117.37


Lucas-Lehmer results:
No L-L results for M31267


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:41:33Oliver KrusePRP
3001633
13069607
140889103
3467759EAAB7A5__no
2017-09-21T20:27:24Oliver KruseManual testing
3001633
13069607
140889103
3467759EAAB7A5__no
2017-10-12T22:20:52kkmrkkblmbrbkManual testing
3001633
13069607
140889103
3467759EAAB7A5__no
2020-04-17T13:47:45Oliver KruseManual testing
3001633
13069607
140889103
E1A842B16A17D9__no
2022-11-07T16:27:47nordisweet16_30.8b14
3001633
13069607
140889103
316663989854430641607652014322882409929
E1A842B16A17D9D5no


P-1 factor-bounds graph:
B1 = 3000000000, B2 = 912626498753970 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-11-07T16:27:47+00:00