is 2 1944377 - 1
has 585316 decimal digits
takes 0.105 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L47F49983DE8324BCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26830.655069.1176%19443771944377000.97798.1743%31.632971.6421%2.5244%
PrimeNet2580.019763.7931%80001400000.00122.4654%0.020964.6857%0.8926%
GPU722620.316066.1290%8000900000.00101.1524%0.316966.5194%0.3903%
Difference+6+30.3390+2.9886%+1936377+194347700+0.9769+7.0219%+31.3160+5.1227%+5.1227%

Known prime factors (1 factor, 75.1 bits, 0.00386438% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1944377415731531811443246523212375.13810690610200888080
24 × 3 × 5 × 44544209170367
2020-07-0316445442091703674,395.4190,905356,558

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-12-12T16:15:00markrtiny2750006000000---0.046--3.555%
2015-10-08T14:16:35Bruno Victal5820K-linux5000001500000012---0.101--4.634%
2016-12-16T01:10:44Jocelyn Larouchelow 4M568903568903---0.045--1.893%
2016-12-17T04:40:29Jocelyn Larouchelow 4M682683682683---0.054--2.043%
2016-12-24T21:06:40Jocelyn Larouchelow 4M819219819219---0.064--2.200%
2017-01-04T23:07:23Jocelyn Larouchelow 4M983062983062---0.077--2.364%
2017-04-13T01:58:15Jocelyn Larouchelow 4M14156081415608012---0.166--5.090%
2018-02-04T03:38:03Jocelyn Larouchelow 4M19443772831216012---0.266--5.981%
2018-02-11T11:28:50Jocelyn Larouchelow 4M19443775662432012---0.387--6.763%
2018-02-28T12:59:34Jocelyn Larouchelow 4M194437711324864012---0.630--7.554%
2018-09-17T11:34:57Jocelyn Larouchelow 4M194437719443770012---0.978--8.174%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-21T00:00:00ANONYMOUSv4_computers21258--0.020--
2016-02-23T16:28:59Mark RoseManual testing258260--0.059--
2010-01-25T03:26:00S485122USB-W260261--0.079--
2016-02-23T16:28:59Mark RoseManual testing261262--0.158--
2011-08-27T22:18:00GrunwalderGIMPManual testing21263--0.821--
2016-02-23T16:28:59Mark RoseManual testing262263--0.505--
2015-04-29T23:49:00lycornManual testing263264--1.010--
2015-04-29T23:49:00lycornManual testing264265--1.922--
2015-09-06T20:47:00ramgeisManual testing265266--3.843--
2017-10-20T14:50:26TJAOIManual testing266267--7.687--
2019-05-11T16:32:14chuenkitManual testing267268--15.37--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.622 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.622 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.3860.023%
25500000.75946.813%
302500000.04795.421%
3510000000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001208.346
50000500000010.070
50000660000013010.21


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00Massimo Cappelli (ik5pwa)v4_computers47F49983DE8324BC0.105
2015-07-12T18:10:00MadPooManual testing47F49983DE8324BC0.105


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-03T10:54:19CrypticCluecruncher
41573153181144324652321
1C0736B16F8C3462no
2020-07-09T03:56:33Chang Chia-Tcheexbpc13
41573153181144324652321
1C0736B16F8C3462no


P-1 factor-bounds graph:
B1 = 1944377, B2 = 194437700 (P-1 stage 2)
B1 = 1944377, B2 = 113248640 (P-1 stage 2)
B1 = 1944377, B2 = 56624320 (P-1 stage 2)
B1 = 1944377, B2 = 28312160 (P-1 stage 2)
B1 = 1415608, B2 = 14156080 (P-1 stage 2)
B1 = 1944377 (P-1 stage 1)
B1 = 1415608 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 983062 (P-1 stage 1)
B1 = 819219 (P-1 stage 1)
B1 = 682683 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 568903 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-28T10:18:12+00:00