is 2 3440893 - 1
has 1035813 decimal digits
takes 0.361 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP1E9E881F58469131verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.696568.1159%50000002000000002.37948.6464%37.075970.8728%2.7568%
PrimeNet2600.044663.3333%150002800000.00452.9000%0.049164.3967%1.0633%
GPU722641.034465.6250%190003400000.00561.8539%1.040066.2623%0.6373%
Difference+5+33.6620+2.4909%+4981000+199660000+2.3738+6.7926%+36.0359+4.6105%+4.6105%

Known prime factors (1 factor, 87.2 bits, 0.00253320% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34408931734550915667481110015957832787.16525204952837351831487
3 × 47 × 263 × 679690231031789
2021-08-0526367969023103178910,818,3645,639,52210,533,057

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-09-28T05:03:00Rob_Deetwopc1000020000---0.002--0.216%
2010-09-29T05:06:00Rob_Deetwopc3000040000---0.005--0.407%
2010-09-29T20:32:00Rob_Deetwopc4000050000---0.006--0.480%
2010-09-30T04:44:00Rob_Deetwopc5000060000---0.008--0.545%
2010-10-01T04:58:00Rob_Deetwopc6000070000---0.009--0.604%
2010-10-02T05:02:00Rob_Deetwopc7000080000---0.011--0.659%
2010-10-03T05:00:00Rob_Deetwopc8000090000---0.012--0.709%
2010-10-04T04:40:00Rob_Deetwopc90000100000---0.014--0.756%
2010-10-04T23:40:00Rob_Deetwopc100000200000---0.016--1.081%
2010-10-05T04:55:00Rob_Deetwopc100000300000---0.017--1.277%
2010-10-05T22:28:00Rob_Deetwopc100000400000---0.018--1.419%
2010-10-06T04:22:00Rob_Deetwopc100000500000---0.019--1.530%
2010-10-06T23:02:00Rob_Deetwopc100000600000---0.019--1.622%
2010-10-07T04:26:00Rob_Deetwopc100000700000---0.020--1.701%
2010-10-07T21:08:00Rob_Deetwopc100000800000---0.021--1.770%
2010-10-08T04:54:00Rob_Deetwopc100000900000---0.022--1.831%
2010-10-08T20:46:00Rob_Deetwopc1000001000000---0.023--1.886%
2014-09-18T01:53:00HBendtzHAL900750000010000000---0.155--4.161%
2021-06-08T06:40:09mognutsManual testing100000030000000---0.393--5.545%
2021-06-14T19:29:09mikrMSI500000020000000012---2.379--8.646%
2022-02-12T19:37:10Jocelyn LaroucheManual testing1000000114656850---1.095--6.891%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-23T09:16:00S485122USB-Z260261--0.045--
2011-08-11T20:38:00markrManual testing21262--0.179--
2012-08-18T15:34:00GrunwalderGIMPManual testing21263--0.464--
2016-02-23T16:29:30Mark RoseManual testing262263--0.285--
2015-02-24T22:14:00VictordeHollanderManual testing263264--0.571--
2015-02-24T22:14:00VictordeHollanderManual testing264265--1.086--
2015-04-15T14:57:00Gordon SpenceManual testing265266--2.172--
2017-02-05T22:59:59Gordon SpenceManual testing266267--4.343--
2022-01-22T13:05:29Jocelyn LaroucheManual testing267268--8.687--
2018-08-13T14:25:19TJAOIManual testing267268--8.687--
2021-01-03T02:54:25axnManual testing268269--17.37--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.171 GHz-days
Estimated T-Level:2.100
DigitsB1CurvesCompleteFacMiss
201100042 / 1000.42065.566%
255000042 / 2800.15086.048%

New Calculation Method

Total ECM effort:6.171 GHz-days
Estimated T-Level:2.100
DigitsB1CompleteFacMiss
20110001.35525.799%
25500000.12288.475%
302500000.00899.249%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.289
50000500000060.882


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-15T00:00:00Mark Blankev4_computers2E65DED928B548__0.361


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-05T05:18:53SRJ2877LTOS
173455091566748111001595783
1E9E881F58469131no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 1000000 (P-1 stage 2)
B1 = 100000, B2 = 900000 (P-1 stage 2)
B1 = 100000, B2 = 800000 (P-1 stage 2)
B1 = 100000, B2 = 700000 (P-1 stage 2)
B1 = 100000, B2 = 600000 (P-1 stage 2)
B1 = 100000, B2 = 500000 (P-1 stage 2)
B1 = 100000, B2 = 400000 (P-1 stage 2)
B1 = 100000, B2 = 300000 (P-1 stage 2)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000, B2 = 100000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 80000, B2 = 90000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 70000, B2 = 80000 (P-1 stage 2)
B1 = 70000 (P-1 stage 1)
B1 = 60000, B2 = 70000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 50000, B2 = 60000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 40000, B2 = 50000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 30000, B2 = 40000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 10000, B2 = 20000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-12T19:37:10+00:00