is 2 3383431 - 1
has 1018515 decimal digits
takes 0.355 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-
PRPB734898D20AE6F1Cverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.616767.6471%40000001500000001.82068.8071%19.437270.4964%2.8494%
PrimeNet2600.045463.3333%140002800000.00432.8447%0.049764.3764%1.0431%
GPU722641.052065.6250%180003200000.00521.7904%1.057266.2404%0.6154%
Difference+4+16.5647+2.0221%+3982000+149680000+1.8153+7.0167%+18.3800+4.2560%+4.2560%

Known prime factors (1 factor, 109.3 bits, 0.00323132% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
338343181560424917013832672906575545242333109.330120529168345702679724969381
34 × 7 × 211 × 269 × 157327 × 1864853 × 12765167
2021-05-081864853127651675.010e+100.37440.5780

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-10T06:10:00Carsten Kossendeydurandal15000206250---0.004--0.811%
2011-10-21T03:07:00harleeP4_260060000930000---0.016--1.881%
2014-07-04T02:22:00Jocelyn LaroucheManual testing7897078970---0.012--0.755%
2014-10-12T23:58:00Jocelyn LaroucheManual testing9794097940---0.015--0.860%
2015-08-13T18:13:00Squeeky_SquirrelP4_26001650004372500---0.060--3.309%
2017-04-18T12:05:01Jocelyn Larouchelow 4M33000033000006---0.075--3.428%
2021-05-08T21:36:18mikrMSI40000001500000001233109.3301.8210.7113.6418.807%
2022-02-25T17:22:04Jocelyn LaroucheManual testing200000200000---0.030--1.270%
2022-04-09T09:24:10Jocelyn LaroucheManual testing10000001000000---0.152--2.569%
2022-04-10T15:21:20Jocelyn LaroucheManual testing1000000126668850---1.195--7.611%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:27Mark RoseManual testing21260--0.045--
2009-03-26T05:53:00S485122USB-A260261--0.045--
2011-08-30T13:47:00Grant McCrackenhome261262--0.091--
2012-11-15T00:22:00GrunwalderGIMPManual testing21263--0.472--
2016-02-23T16:29:27Mark RoseManual testing262263--0.290--
2015-02-15T12:50:00VictordeHollanderManual testing263264--0.580--
2015-02-15T12:50:00VictordeHollanderManual testing264265--1.104--
2015-04-01T23:42:00Gordon SpenceManual testing265266--2.209--
2017-03-10T14:13:04Gordon SpenceManual testing266267--4.417--
2018-10-08T14:27:17TJAOIManual testing267268--8.835--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.247 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:4.247 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110000.93539.240%
25500000.08591.893%
302500000.00599.481%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.247


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-22T00:00:00ANONYMOUSv4_computers485B7317A2AC1E__0.355


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-09T02:18:33mikrNitron
815604249170138326729065755452423
B734898D20AE6F1Cno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 330000, B2 = 3300000 (P-1 stage 2)
B1 = 165000, B2 = 4372500 (P-1 stage 2)
B1 = 330000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 165000 (P-1 stage 1)
B1 = 60000, B2 = 930000 (P-1 stage 2)
B1 = 97940 (P-1 stage 1)
B1 = 78970 (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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Last modified: 2022-04-10T15:21:20+00:00