is 2 9000317 - 1
has 2709366 decimal digits
takes 2.488 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA2C2AAD28C684B8Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27153.117966.1972%1000000760000002.03846.0263%55.156368.2342%2.0370%
PrimeNet2640.395562.5000%3600010000000.03553.3267%0.430963.7475%1.2475%
GPU722686.622564.7059%6000013000000.05112.3999%6.673765.5529%0.8470%
Difference+3+46.4954+1.4913%+940000+74700000+1.9872+3.6264%+48.4827+2.6813%+2.6813%

Known prime factors (1 factor, 101.9 bits, 0.00113269% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9000317488404428418905484378487938274331101.946271326236853049445024263
19 × 193 × 887 × 82067 × 787939 × 1290019
2018-03-1678793912900191.961e+100.32670.6427

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2014-09-04T10:31:00Nesowanewfs4250008393750---0.344--3.633%
2018-03-16T07:48:21mikrColor2500000839375031101.9461.0024.9752.0044.236%
2021-03-15T04:44:33ViliamF3100000076000000-
skipped known factor: 4884044284189054843784879382743
--2.038--6.026%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-06T00:00:00ANONYMOUSv4_computers21261--0.034--
1999-01-02T00:00:00ANONYMOUSv4_computers21263--0.177--
2004-07-02T00:00:00Richard B. Woodsv4_computers21264--0.395--
2007-07-04T00:00:00Richard B. Woodsv4_computers21265--0.811--
2008-03-22T00:00:00Richard B. Woodsv4_computers21266--1.641--
2014-03-24T21:06:00ramgeisManual testing266267--1.661--
2014-03-24T21:06:00ramgeisManual testing267268--3.321--
2014-03-24T21:06:00ramgeisManual testing268269--6.642--
2014-03-24T21:06:00ramgeisManual testing269270--13.28--
2016-01-17T23:07:12ramgeisManual testing270271--26.57--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.261 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:1.261 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.09790.776%
25500000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.261


Lucas-Lehmer results:
No L-L results for M9000317


PRP results:
dateuseridcompidcofactorsres64PRP
2019-05-22T10:00:58Niels_Mache_NextcloudSuperDry-X
4884044284189054843784879382743
90C5D00869C487ECno
2019-07-02T17:17:04timbitManual testing
4884044284189054843784879382743
90C5D00869C487ECno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 76000000 (P-1 stage 2)
B1 = 2500000, B2 = 8393750 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 425000, B2 = 8393750 (P-1 stage 2)
B1 = 425000 (P-1 stage 1)
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104
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106
107
108
TF factor-bounds graph:
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261
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Last modified: 2021-03-15T04:44:33+00:00