is 2 31393 - 1
has 9451 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-LFC270048FE222853double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267946.514177.6119%12000000000100065821243388043,553.538333.3485%44,500.052485.0780%7.4661%
PrimeNet2400.000062.5000%500100000.00004.1512%0.000064.0567%1.5567%
GPU722440.000165.9091%500100000.00001.7822%0.000166.5167%0.6076%
Difference+23+946.5140+11.7028%+11999999500+1000658212423880+43,553.5383+31.5663%+44,500.0523+18.5614%+18.5614%

Known prime factors:
No known factors for M31393

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.001--1.965%
2001-08-18T00:00:00Alex Kruppav4_computers1000000100000000---0.005--4.779%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---8.36694e-5--0.658%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.000--1.058%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.000--1.583%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.001--2.233%
2003-03-27T00:00:00ANONYMOUSv4_computers26214426214400---0.001--3.000%
2003-04-03T00:00:00ANONYMOUSv4_computers52428852428800---0.003--3.875%
2003-04-27T00:00:00ANONYMOUSv4_computers1048576104857600---0.005--4.848%
2003-05-19T00:00:00ANONYMOUSv4_computers2097152209715200---0.011--5.914%
2003-07-13T00:00:00ANONYMOUSv4_computers4194304419430400---0.021--7.064%
2003-10-08T00:00:00ANONYMOUSv4_computers8388608838860800---0.043--8.293%
2003-10-08T00:00:00ANONYMOUSv4_computers167772161677721600---0.086--9.583%
2013-11-09T05:55:00David Campeaui5-2500k20783500011015255000---0.636--13.576%
2017-04-03T21:27:33nordinordiputer275691900518195665434112---10.00--19.049%
2022-04-23T13:08:29ATHManual testing120000000001000658212433880---43,554--33.348%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-07T18:46:02ATH5960X50000000010150000000027--4.914


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-29T00:00:00ANONYMOUSv4_computers252253--0.019--
2000-03-08T00:00:00ANONYMOUSv4_computers253254--0.038--
2000-09-08T00:00:00ANONYMOUSv4_computers21256--0.306--
2002-12-02T00:00:00ANONYMOUSv4_computers21257--0.612--
2016-02-23T04:50:49LaurVManual testing257258--0.612--
2009-01-07T22:06:00Sturle Sundehoffman.ifi258259--1.223--
2009-02-07T00:47:00Sturle Sundegerle.ifi259260--2.446--
2012-03-23T02:13:00bcp19Manual testing260261--4.892--
2012-03-23T02:13:00bcp19Manual testing261262--9.78--
2016-11-22T08:54:21Sid & AndyWoody262263--31.27--
2018-06-05T16:30:04YxinityManual testing263264--62.54--
2018-06-05T11:21:54YxinityYGSMainFrame263264--62.54--
2019-12-08T10:48:33YxinityManual testing264265--119.0--
2019-12-08T04:53:32YxinityYGSMainFrame264265--119.0--
2020-12-30T09:14:20YxinityManual testing265266--238.0--
2020-12-29T23:56:30YxinityYGSMainFrame265266--238.0--


ECM factoring results:

Old Calculation Method

Total ECM effort:280.061 GHz-days
Estimated T-Level:40.571
DigitsB1CurvesCompleteFacMiss
20110005343 / 10053.4300.000%
25500005343 / 28019.0820.000%
302500005343 / 6408.3480.024%
3510000005343 / 15663.4123.294%
4030000005112 / 45881.11432.813%
45110000001050 / 92010.11489.215%

New Calculation Method

Total ECM effort:280.061 GHz-days
Estimated T-Level:40.571
DigitsB1CompleteFacMiss
20110001,121.7330.000%
2550000318.1630.000%
3025000067.6050.000%
35100000011.6810.001%
4030000001.70918.099%
45110000000.21980.309%
50440000000.02597.528%
551100000000.00399.741%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000002312.655
30000003000000004,012138.3
5000000500000000502.873
110000001100000000950120.1
11000000202400000010016.10


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:58:00MadPooManual testingFC270048FE2228531.72923e-5


PRP results:
No PRP results for M31393


P-1 factor-bounds graph:
B1 = 12000000000, B2 = 1000658212433880 (P-1 stage 2)
B1 = 2756919005, B2 = 181956654341 (P-1 stage 2)
B1 = 12000000000 (P-1 stage 1)
B1 = 2756919005 (P-1 stage 1)
B1 = 207835000, B2 = 11015255000 (P-1 stage 2)
B1 = 207835000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
103
104
105
106
107
108
109
1010
1011
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
258
257
256
254
253
250
260
270
280
290
2100
Last modified: 2022-04-23T13:08:29+00:00