is 2 792109 - 1
has 238449 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7C39C77D32623871double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26737.512470.1493%100000002000000000.58949.1650%38.101872.8851%2.7358%
PrimeNet2400.000050.0000%70003000000.000722.2886%0.000761.1443%11.1443%
GPU722440.000054.5455%130005000000.001117.0996%0.001162.3180%7.7726%
Difference+23+37.5124+15.6038%+9987000+199500000+0.5882-7.9346%+38.1006+10.5671%+10.5671%

Known prime factors (1 factor, 75.1 bits, 0.00947767% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
792109397527797483468228883292375.07325092998405741396
22 × 13 × 2543 × 189759206311
2015-02-22254318975920631116,050299.40559.20

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.203%
2002-02-03T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.433%
2002-03-31T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.782%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.271%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.906%
2002-12-09T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.683%
2003-07-21T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.586%
2011-07-12T13:43:00Jocelyn LaroucheManual testing269660269660---0.008--1.318%
2011-08-28T21:10:00Jocelyn LaroucheManual testing449433449433---0.013--1.677%
2012-01-14T14:42:00Jocelyn LaroucheManual testing898866898866---0.026--2.247%
2012-04-06T00:55:00alpertronManual testing10000000200000000---0.589--9.165%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-10-07T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.024--
2003-09-14T00:00:00ANONYMOUSv4_computers21258--0.048--
2008-10-12T20:32:00Sturle Sundetristan.ifi258259--0.048--
2008-10-12T21:03:00Sturle Sundetristan.ifi259260--0.097--
2010-06-09T13:15:00Architects Cubedm1_fw260261--0.194--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.433 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.433 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002786.344
50000500000030.068
25000025000000445.020


Lucas-Lehmer results:
No L-L results for M792109


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T00:48:00Oliver KruseGTX-2
39752779748346822888329
DF938BA6BF57B8__no
2017-10-13T22:03:39Oliver KruseThreadripperDF938BA6BF57B8__no
2017-12-17T05:54:13ATHec2-1xf
39752779748346822888329
DF938BA6BF57B8__no
2020-04-21T05:14:11Oliver KruseAddPrpType5
39752779748346822888329
1AB1740FB63A9A__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 898866 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 449433 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 269660 (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 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-21T05:14:11+00:00