is 2 3392953 - 1
has 1021381 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-LBBE258852BF38F67double-checked
PRP846A2F309854B8E2verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27070.425668.5714%40000001500000001.82067.5198%72.246170.9348%2.3634%
PrimeNet2600.045363.3333%140002800000.00432.8462%0.049664.3769%1.0436%
GPU722641.049065.6250%180003200000.00521.7913%1.054366.2408%0.6158%
Difference+6+69.3765+2.9464%+3982000+149680000+1.8153+5.7285%+71.1918+4.6940%+4.6940%

Known prime factors (1 factor, 72.9 bits, 0.00214845% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
339295387878472318759058586572272.8961295014583443376
24 × 80938411465211
2021-08-291680938411465211424.40671,5621,254,290

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-10T14:36:00Carsten Kossendeydurandal15000206250---0.004--0.590%
2011-10-23T10:01:00harleeP4_260060000945000---0.016--1.457%
2014-07-04T02:22:00Jocelyn LaroucheManual testing7891778917---0.012--0.562%
2014-10-13T22:29:00Jocelyn LaroucheManual testing9783497834---0.015--0.645%
2015-10-27T22:07:21Squeeky_SquirrelP4_260016500043725006---0.060--2.648%
2016-07-23T03:35:16Jocelyn LaroucheManual testing30235487450006---0.116--3.405%
2021-06-06T07:51:00mognutsManual testing100000030000000---0.393--5.052%
2021-07-07T04:52:16mikrMSI400000015000000012---1.821--7.520%
2022-04-06T23:14:02Jocelyn LaroucheManual testing1000000123342450---1.167--6.371%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-05T00:00:00ANONYMOUSv4_computers21260--0.045--
2009-03-25T20:45:00S485122USB-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--8.810--
2021-06-28T11:10:42TJAOIManual testing268269--17.62--
2021-08-28T02:07:14MadPooManual testing269270--35.24--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.959 GHz-days
Estimated T-Level:3.000
DigitsB1CurvesCompleteFacMiss
201100060 / 1000.60054.716%
255000060 / 2800.21480.681%

New Calculation Method

Total ECM effort:8.959 GHz-days
Estimated T-Level:3.000
DigitsB1CompleteFacMiss
20110001.96014.090%
25500000.17783.806%
302500000.01198.917%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.275
500005000000172.491
50000680000071.192


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-05T00:00:00ANONYMOUSv4_computersBBE258852BF38F670.356
1999-09-14T00:00:00ANONYMOUSv4_computersBBE258852BF38F670.356


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-29T07:17:00SRJ2877LTOS
8787847231875905858657
846A2F309854B8E2no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 123342450 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000, B2 = 30000000 (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 = 97834 (P-1 stage 1)
B1 = 78917 (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: 2022-04-06T23:14:02+00:00