is 2 3724937 - 1
has 1121318 decimal digits
takes 0.391 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LF4B3E491E904A980double-checked
PRP9CDFDD22C7743E__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.148968.5714%1600000660000000.77806.1442%64.926970.5025%1.9310%
PrimeNet2600.041263.3333%160003200000.00503.0872%0.046264.4653%1.1320%
GPU722640.955565.6250%220004500000.00692.1081%0.962466.3497%0.7247%
Difference+6+63.1934+2.9464%+1578000+65550000+0.7711+4.0360%+63.9645+4.1528%+4.1528%

Known prime factors (1 factor, 75.2 bits, 0.00201986% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3724937445721821867209090512572375.2395982944434593244
22 × 31 × 201847 × 239040223
2021-10-092018472390402232,723.02.01243.7044

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:01:00Carsten Kossendeyleela20000265000---0.005--0.729%
2012-12-30T03:55:00Squeeky_SquirrelP4_26002450007717500---0.099--3.249%
2021-01-04T01:22:37Dylan Delgadolaptop-ryzen7370016000006600000012---0.778--6.144%
2022-03-03T23:55:48Jocelyn LaroucheManual testing9000090000---0.014--0.623%
2022-03-22T11:10:16Jocelyn LaroucheManual testing100000100000---0.015--0.665%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-29T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-06T05:54:00S485122USB-Z260261--0.041--
2011-04-29T04:00:00Grant McCrackenthumper261262--0.082--
2012-04-20T00:45:00GrunwalderGIMPManual testing21263--0.428--
2016-02-23T16:29:37Mark RoseManual testing262263--0.264--
2015-01-22T10:39:00VictordeHollanderManual testing263264--0.527--
2015-01-22T10:39:00VictordeHollanderManual testing264265--1.003--
2016-02-25T09:22:16ramgeisManual testing265266--2.006--
2016-11-02T03:53:11Gordon SpenceManual testing266267--4.012--
2018-11-19T15:52:43TJAOIManual testing267268--8.025--
2020-12-12T10:56:22axnManual testing268269--16.05--
2021-03-12T12:59:25axnManual testing269270--32.10--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.134 GHz-days
Estimated T-Level:1.050
DigitsB1CurvesCompleteFacMiss
201100021 / 1000.21080.973%
255000021 / 2800.07592.762%

New Calculation Method

Total ECM effort:3.134 GHz-days
Estimated T-Level:1.050
DigitsB1CompleteFacMiss
20110000.67750.793%
25500000.06194.061%
302500000.00499.624%


ECM Summary

B1B2factorcurvesGHz-days
500005000000192.836
50000500000020.299


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-09T00:00:00ANONYMOUSv4_computersF4B3E491E904A9800.391
1999-11-10T00:00:00hetmanv4_computersF4B3E491E904A9800.391


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-19T22:49:26RichD0Linux-5
44572182186720909051257
9CDFDD22C7743E__no


P-1 factor-bounds graph:
B1 = 1600000, B2 = 66000000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 245000, B2 = 7717500 (P-1 stage 2)
B1 = 245000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-22T11:10:16+00:00