is 2 317419 - 1
has 95553 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7A93774A923F6B08double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26793.611071.6418%100000002000000000.20988.4364%93.820974.0342%2.3924%
PrimeNet2400.000052.5000%3200900000.000115.6856%0.000159.9507%7.4507%
GPU722440.000056.8182%55001500000.000111.4850%0.000161.7776%4.9594%
Difference+23+93.6110+14.8236%+9994500+199850000+0.2097-3.0485%+93.8207+12.2566%+12.2566%

Known prime factors (1 factor, 85.5 bits, 0.02694551% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
317419558664068014765285084855512685.53088001044048208406725
52 × 389 × 683 × 13248829494587
2015-12-216831324882949458742,345,1967,442.913,901

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-07-03T00:00:00ANONYMOUSv4_computers110001100000---0.001--0.800%
2001-10-20T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.394%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.621%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.321%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.149%
2006-01-15T00:00:00Jocelyn Larouchev4_computers317419317419---0.003--1.230%
2008-11-25T15:58:00GrunwalderGIMPGWPrime022000000200000000---0.132--7.441%
2012-01-23T22:45:00alpertronManual testing10000000200000000---0.210--8.436%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-24T17:17:50George WoltmanManual testing750000059250000027--0.440


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:36:12LordJuliusManual testing254255--0.008--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.030--
2002-03-10T00:00:00ANONYMOUSv4_computers21257--0.060--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.121--
2008-12-30T21:21:00Sturle Sundeiago.ifi258259--0.121--
2009-01-25T00:24:00Sturle Sundegerle.ifi259260--0.242--
2012-04-27T11:50:00David CampeauManual testing260261--0.484--
2015-07-20T20:30:00NRManual testing261262--0.968--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.659 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000426 / 1004.2601.382%
2550000426 / 2801.52121.781%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:7.659 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100021.0970.000%
25500002.5577.753%
302500000.23878.829%
3510000000.01898.226%
4030000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002822.156
250000250000001425.427
2500002500000020.076


Lucas-Lehmer results:
No L-L results for M317419


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T17:43:15Oliver KruseOllaptop
55866406801476528508485551
0EE64B86D06F75__no
2017-09-22T20:38:01Oliver KruseManual testing
55866406801476528508485551
0EE64B86D06F75__no
2017-10-13T00:17:45Oliver KruseGTX-10EE64B86D06F75__no
2017-12-11T20:58:19ATHxps
55866406801476528508485551
0EE64B86D06F75__no
2020-04-18T15:05:30Oliver KruseAddPrpType5
55866406801476528508485551
F95B1584E35960__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 317419 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 11000, B2 = 1100000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
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Last modified: 2022-03-07T06:36:12+00:00