is 2 1984397 - 1
has 597364 decimal digits
takes 0.130 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEBA6A26DAB6481EBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26830.036869.1176%19843972480496251.46738.4884%31.504171.7391%2.6214%
PrimeNet2580.019363.7931%80001400000.00142.4751%0.020864.6893%0.8962%
GPU722620.309666.1290%80001000000.00121.1978%0.310866.5347%0.4057%
Difference+6+29.7272+2.9886%+1976397+247949625+1.4661+7.2907%+31.1932+5.2044%+5.2044%

Known prime factors (1 factor, 78.5 bits, 0.00395659% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19843974317331034127274106806812478.514108781938143609220
22 × 32 × 5 × 7 × 409 × 211087705483
2019-12-1840921108770548339,2621,096.42,047.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-23T04:53:00kurlyhex100000030000000---0.246--5.707%
2018-01-21T01:09:51Jocelyn Larouchelow 4M12057601205760---0.115--2.562%
2018-01-22T03:17:36Jocelyn Larouchelow 4M19843973000000012---0.335--6.069%
2018-02-15T13:14:32Jocelyn Larouchelow 4M19843976000000012---0.491--6.855%
2018-03-11T02:36:11Jocelyn Larouchelow 4M198439712000000012---0.802--7.650%
2018-05-21T11:06:49Jocelyn Larouchelow 4M198439719843970012---1.210--8.230%
2018-11-26T12:53:52Jocelyn LaroucheManual testing198439724804962512---1.467--8.488%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-27T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:02Mark RoseManual testing258260--0.058--
2009-12-16T17:58:00S485122USB-W260261--0.077--
2016-02-23T16:29:02Mark RoseManual testing261262--0.155--
2011-07-01T19:06:00GrunwalderGIMPManual testing21263--0.804--
2016-02-23T16:29:02Mark RoseManual testing262263--0.495--
2015-03-12T20:30:00lycornManual testing263264--0.989--
2015-03-12T20:30:00lycornManual testing264265--1.883--
2015-09-11T08:33:00ramgeisManual testing265266--3.766--
2017-12-25T20:45:48TJAOIManual testing266267--7.531--
2019-05-18T12:32:08chuenkitManual testing267268--15.06--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.141 GHz-days
Estimated T-Level:2.450
DigitsB1CurvesCompleteFacMiss
201100049 / 1000.49061.112%
255000049 / 2800.17583.919%

New Calculation Method

Total ECM effort:4.141 GHz-days
Estimated T-Level:2.450
DigitsB1CompleteFacMiss
20110001.58120.584%
25500000.14386.688%
302500000.00999.124%


ECM Summary

B1B2factorcurvesGHz-days
500005000000484.056
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-02T00:00:00ANONYMOUSv4_computersEBA6A26DAB6481EB0.130
2015-07-10T01:00:00MadPooManual testingEBA6A26DAB6481EB0.130


PRP results:
dateuseridcompidcofactorsres64PRP
2019-12-19T14:19:44mnd975211backdoor
431733103412727410680681
E4A5A86365A4E2A4no
2019-12-21T09:55:16Chang Chia-Tcheexbbbe-lt
431733103412727410680681
E4A5A86365A4E2A4no


P-1 factor-bounds graph:
B1 = 1984397, B2 = 248049625 (P-1 stage 2)
B1 = 1984397, B2 = 198439700 (P-1 stage 2)
B1 = 1984397, B2 = 120000000 (P-1 stage 2)
B1 = 1984397, B2 = 60000000 (P-1 stage 2)
B1 = 1984397, B2 = 30000000 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1984397 (P-1 stage 1)
B1 = 1205760 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2019-12-21T09:55:16+00:00