is 2 1813321 - 1
has 545865 decimal digits
takes 0.098 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9CB19E780B72656Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.870669.1176%18133211813321000.91207.9842%33.782671.5833%2.4657%
PrimeNet2570.010663.1579%80001500000.00122.8741%0.011864.2168%1.0589%
GPU722610.169465.5738%90001300000.00121.5567%0.170666.1097%0.5359%
Difference+7+32.7012+3.5439%+1804321+181202100+0.9108+6.4274%+33.6119+5.4737%+5.4737%

Known prime factors (1 factor, 85.5 bits, 0.00471669% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1813321558111787195515905537209512685.52915389216448591173475
3 × 52 × 7 × 19 × 12193429 × 126525409
2020-08-13121934291265254097,758,5311.44921.9521

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:35:00Carsten Kossendeyleela1000001650000---0.015--2.198%
2014-05-13T21:10:00Jocelyn LaroucheManual testing135396135396---0.011--0.924%
2014-09-20T22:31:00Jocelyn LaroucheManual testing170792170792---0.013--1.050%
2015-05-19T03:36:00mikrMSI278000091760000---0.600--7.483%
2018-09-21T11:45:47Jocelyn Larouchelow 4M181332118133210012---0.912--7.984%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:53Mark RoseManual testing258260--0.064--
2010-04-17T14:28:00Architects Cubeda3_bu2260261--0.085--
2016-02-23T16:28:53Mark RoseManual testing261262--0.169--
2011-01-21T16:10:00GrunwalderGIMPManual testing21263--0.880--
2016-02-23T16:28:53Mark RoseManual testing262263--0.541--
2015-04-22T21:30:00snme2pm1Manual testing263264--1.083--
2015-04-22T21:30:00snme2pm1Manual testing264265--2.061--
2015-09-02T13:37:00ramgeisManual testing265266--4.121--
2018-04-02T12:17:07TJAOIManual testing266267--8.242--
2019-07-01T11:11:05TJAOIManual testing267268--16.48--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.059 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.059 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.2970.025%
25500000.75147.207%
302500000.04695.474%
3510000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
50000500000015910.97
50000500000020.138
500006500000906.950


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computers9CB19E780B72656E0.098
2015-07-10T01:00:00MadPooManual testing9CB19E780B72656E0.098


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-16T10:18:55fre_gamesgpu
55811178719551590553720951
5D6CE82D665F5CA4no
2020-08-16T21:39:13atrenchDesktop
55811178719551590553720951
5D6CE82D665F5CA4no
2020-08-17T13:59:05kutenshadar
55811178719551590553720951
5D6CE82D665F5CA4no


P-1 factor-bounds graph:
B1 = 1813321, B2 = 181332100 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1813321 (P-1 stage 1)
B1 = 100000, B2 = 1650000 (P-1 stage 2)
B1 = 170792 (P-1 stage 1)
B1 = 135396 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-03-05T18:09:06+00:00