is 2 3393067 - 1
has 1021415 decimal digits
takes 0.356 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0A7A0CE47FA2F692double-checked
PRPE94261B015314855verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.566767.6471%10000001233424501.16747.5844%18.734170.1008%2.4538%
PrimeNet2600.045363.3333%140002800000.00432.8462%0.049664.3769%1.0436%
GPU722641.049065.6250%180003200000.00521.7913%1.054266.2408%0.6158%
Difference+4+16.5177+2.0221%+982000+123022450+1.1621+5.7930%+17.6798+3.8601%+3.8601%

Known prime factors (1 factor, 77.8 bits, 0.00229339% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33930672660606859142219543480792477.81639206518161035717
9151 × 4284397132667
2021-05-279151428439713266713,74035,54866,395

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-10T14:36:00Carsten Kossendeydurandal15000206250---0.004--0.811%
2011-10-23T10:37:00harleeP4_260060000945000---0.016--1.890%
2014-07-04T02:22:00Jocelyn LaroucheManual testing7891678916---0.012--0.755%
2014-10-13T22:29:00Jocelyn LaroucheManual testing9783297832---0.015--0.859%
2015-10-28T00:07:50Squeeky_SquirrelP4_260016500043725006---0.060--3.310%
2016-07-23T03:35:17Jocelyn LaroucheManual testing30235487450006---0.116--4.187%
2022-04-06T23:14:02Jocelyn LaroucheManual testing1000000123342450---1.167--7.584%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-17T00:00:00ANONYMOUSv4_computers21260--0.045--
2009-03-25T20:44:00S485122USB-Z260261--0.045--
2011-08-19T23:18:00Grant McCrackenthumper261262--0.091--
2012-11-15T00:22:00GrunwalderGIMPManual testing21263--0.470--
2016-02-23T16:29:27Mark RoseManual testing262263--0.289--
2015-02-18T11:36:00VictordeHollanderManual testing263264--0.579--
2015-02-18T11:36:00VictordeHollanderManual testing264265--1.101--
2015-04-04T13:44:00Gordon SpenceManual testing265266--2.202--
2017-03-12T14:28:48Gordon SpenceManual testing266267--4.405--
2018-09-17T14:42:51TJAOIManual testing267268--8.809--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.272 GHz-days
Estimated T-Level:1.750
DigitsB1CurvesCompleteFacMiss
201100035 / 1000.35070.345%
255000035 / 2800.12588.230%

New Calculation Method

Total ECM effort:5.272 GHz-days
Estimated T-Level:1.750
DigitsB1CompleteFacMiss
20110001.15031.671%
25500000.10490.164%
302500000.00699.364%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.249
50000680000061.022


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-17T00:00:00ANONYMOUSv4_computers059BA7E269ECCB__0.356
1999-08-16T00:00:00Stephen Woodv4_computers0A7A0CE47FA2F6920.356
2000-01-12T00:00:00ANONYMOUSv4_computers0A7A0CE47FA2F6920.356


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-27T06:50:33LOBESLENOVO
266060685914221954348079
E94261B015314855no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 123342450 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 302354, B2 = 8745000 (P-1 stage 2)
B1 = 165000, B2 = 4372500 (P-1 stage 2)
B1 = 302354 (P-1 stage 1)
B1 = 165000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 97832 (P-1 stage 1)
B1 = 78916 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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261
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Last modified: 2022-04-06T23:14:02+00:00