is 2 788009 - 1
has 237215 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-L745B81F5D1B8816Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26737.707670.1493%78800902364027000.58889.2728%38.296472.9172%2.7680%
PrimeNet2400.000050.0000%70003000000.000722.2763%0.000761.1382%11.1382%
GPU722440.000054.5455%130005000000.001117.0897%0.001162.3135%7.7680%
Difference+23+37.7076+15.6038%+7867090+235902700+0.5876-7.8169%+38.2952+10.6037%+10.6037%

Known prime factors (1 factor, 79.5 bits, 0.01009404% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7880098800543737869501198104012479.542558403757943722800
24 × 52 × 33749 × 41364466943
2016-02-103374941364466943166,80465.266121.90

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--0.781%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.270%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.905%
2002-12-09T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.680%
2003-07-21T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.583%
2011-07-10T12:45:00Jocelyn LaroucheManual testing271480271480---0.008--1.321%
2011-08-28T21:10:00Jocelyn LaroucheManual testing452467452467---0.013--1.681%
2012-01-09T00:59:00Jocelyn LaroucheManual testing904935904935---0.026--2.251%
2012-07-21T19:06:00Jocelyn LaroucheManual testing15760181576018---0.046--2.777%
2013-11-04T15:24:00David Campeaui5-2500k163000055420000---0.132--6.571%
2015-11-25T19:31:56Sid & AndySpeck788009023640270012---0.589--9.273%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-10-07T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.024--
2003-09-21T00:00:00ANONYMOUSv4_computers21258--0.049--
2008-10-13T05:11:00Sturle Sundepapageno.ifi258259--0.049--
2008-10-13T05:41:00Sturle Sundepapageno.ifi259260--0.097--
2010-06-08T09:30:00Architects Cubedm1_fw260261--0.195--
2015-03-07T22:06:00NRManual testing261262--0.390--
2015-10-24T17:52:19Gordon SpenceManual testing262263--1.246--
2015-10-24T17:52:19Gordon SpenceManual testing263264--2.491--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.427 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:11.427 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002806.386
50000500000010.023
25000025000000445.018


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T15:52:00MadPooManual testing745B81F5D1B8816C0.016


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T00:31:31Oliver KruseGTX-1
880054373786950119810401
4688CFD69EE979__no
2017-10-13T21:32:07Oliver KruseThreadripper4688CFD69EE979__no
2017-12-16T22:57:35ATHec2-1xf
880054373786950119810401
4688CFD69EE979__no
2020-04-21T05:45:58Oliver KruseAddPrpType5
880054373786950119810401
F790B6876B8891__no


P-1 factor-bounds graph:
B1 = 7880090, B2 = 236402700 (P-1 stage 2)
B1 = 7880090 (P-1 stage 1)
B1 = 1630000, B2 = 55420000 (P-1 stage 2)
B1 = 1630000 (P-1 stage 1)
B1 = 1576018 (P-1 stage 1)
B1 = 904935 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 452467 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 271480 (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)
102
103
104
105
106
107
102
103
104
105
106
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108
109
1010
1011
TF factor-bounds graph:
267
264
263
262
261
260
259
258
257
256
255
250
260
270
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290
2100
Last modified: 2020-04-21T05:45:58+00:00