is 2 1837967 - 1
has 553284 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L71241AFC06C1AADBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.429869.1176%18379671837967000.92448.0208%33.354271.5947%2.4770%
PrimeNet2570.010463.1579%80001500000.00122.8815%0.011764.2195%1.0616%
GPU722610.167165.5738%90001400000.00131.5960%0.168466.1232%0.5494%
Difference+7+32.2627+3.5439%+1828967+183656700+0.9231+6.4248%+33.1858+5.4714%+5.4714%

Known prime factors (1 factor, 79.2 bits, 0.00430935% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18379676964388765536824560539612479.204189459026346414940
22 × 5 × 22441 × 422126969267
2019-12-0222441422126969267118,2321,809.13,379.0

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:47:00Carsten Kossendeyleela1000001675000---0.015--2.211%
2014-05-19T21:00:00Jocelyn LaroucheManual testing134921134921---0.011--0.925%
2014-09-22T21:00:00Jocelyn LaroucheManual testing169842169842---0.013--1.050%
2015-07-03T22:51:00mikrMSI278000091760000---0.600--7.493%
2018-08-13T11:55:02Jocelyn Larouchelow 4M183796718379670012---0.924--8.021%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:54Mark RoseManual testing258260--0.063--
2010-04-17T14:28:00Architects Cubeda3_lm260261--0.084--
2016-02-23T16:28:54Mark RoseManual testing261262--0.167--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.868--
2016-02-23T16:28:54Mark RoseManual testing262263--0.534--
2015-04-27T03:38:00snme2pm1Manual testing263264--1.068--
2015-04-27T03:38:00snme2pm1Manual testing264265--2.033--
2015-09-05T13:49:00ramgeisManual testing265266--4.066--
2018-01-15T16:18:57TJAOIManual testing266267--8.132--
2019-06-17T12:14:59TJAOIManual testing267268--16.26--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.009 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.009 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5170.020%
25500000.77146.237%
302500000.04895.342%
3510000000.00299.781%


ECM Summary

B1B2factorcurvesGHz-days
500005000000604.146
50000500000020.138
50000660000018914.72


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computers71241AFC06C1AADB0.100
2015-07-01T17:35:00MadPooManual testing71241AFC06C1AADB0.100


PRP results:
dateuseridcompidcofactorsres64PRP
2019-12-03T12:52:06francijezekBeQuiet
696438876553682456053961
DC00A9299987356Dno
2019-12-12T03:31:07mnd975201b
696438876553682456053961
DC00A9299987356Dno


P-1 factor-bounds graph:
B1 = 1837967, B2 = 183796700 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1837967 (P-1 stage 1)
B1 = 100000, B2 = 1675000 (P-1 stage 2)
B1 = 169842 (P-1 stage 1)
B1 = 134921 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-14T12:09:09+00:00