is 2 1953811 - 1
has 588156 decimal digits
takes 0.106 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB96A81413F6628C1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26830.507069.1176%19538112442263751.19208.4450%31.699071.7257%2.6080%
PrimeNet2580.019763.7931%80001400000.00122.4677%0.020864.6866%0.8935%
GPU722620.314466.1290%8000900000.00101.1536%0.315466.5198%0.3907%
Difference+6+30.1925+2.9886%+1945811+244136375+1.1910+7.2915%+31.3836+5.2059%+5.2059%

Known prime factors (1 factor, 86.6 bits, 0.00443489% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19538111213576424814253899933274312786.64931056648386518806065
5 × 7 × 19 × 46701726897020761
2020-02-2419467017268970207618,446,331200,151,926373,828,059

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers25000387500---0.004--1.051%
2011-05-16T22:44:00kurlyhex100000030000000---0.203--5.697%
2018-01-22T03:17:36Jocelyn Larouchelow 4M19538116000000012---0.402--6.835%
2018-03-03T03:57:56Jocelyn Larouchelow 4M195381112000000012---0.660--7.627%
2018-05-11T11:44:16Jocelyn Larouchelow 4M195381119538110012---0.983--8.188%
2018-11-26T12:54:02Jocelyn LaroucheManual testing195381124422637512---1.192--8.445%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-21T00:00:00ANONYMOUSv4_computers21258--0.020--
2016-02-23T16:29:00Mark RoseManual testing258260--0.059--
2010-01-16T20:20:00S485122USB-W260261--0.079--
2016-02-23T16:29:00Mark RoseManual testing261262--0.157--
2011-08-27T22:19:00GrunwalderGIMPManual testing21263--0.817--
2016-02-23T16:29:00Mark RoseManual testing262263--0.502--
2015-04-22T20:23:00lycornManual testing263264--1.005--
2015-04-22T20:23:00lycornManual testing264265--1.912--
2015-09-07T08:31:00ramgeisManual testing265266--3.825--
2018-02-05T16:30:32TJAOIManual testing266267--7.649--
2019-05-13T04:32:11chuenkitManual testing267268--15.30--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.779 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.779 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.6670.017%
25500000.77346.168%
302500000.04895.328%
3510000000.00299.780%


ECM Summary

B1B2factorcurvesGHz-days
500005000000835.776
50000500000030.209
50000750000016513.79


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10T00:00:00ANONYMOUSv4_computersB96A81413F6628C10.106
2015-07-12T18:10:00MadPooManual testingB96A81413F6628C10.106


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-25T17:22:57Niels_Mache_NextcloudSuperDry-X
121357642481425389993327431
A71D91C2A64A17CDno
2020-02-27T20:24:03arnaudstm-11-010
121357642481425389993327431
A71D91C2A64A17CDno


P-1 factor-bounds graph:
B1 = 1953811, B2 = 244226375 (P-1 stage 2)
B1 = 1953811, B2 = 195381100 (P-1 stage 2)
B1 = 1953811, B2 = 120000000 (P-1 stage 2)
B1 = 1953811, B2 = 60000000 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1953811 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 25000, B2 = 387500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-05T09:33:01+00:00