is 2 3468329 - 1
has 1044072 decimal digits
takes 0.364 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC0149BFD357FEE53double-checked
PRPE5C5465B833BFC04PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.422068.1159%20000000100000000011.177111.6166%45.599071.8198%3.7038%
PrimeNet2600.044363.3333%150003000000.00462.9557%0.048964.4171%1.0838%
GPU722641.026265.6250%190003600000.00571.8856%1.032066.2732%0.6482%
Difference+5+33.3958+2.4909%+19981000+999640000+11.1713+9.7310%+44.5671+5.5466%+3.0557%

Known prime factors (1 factor, 75.2 bits, 0.00216729% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3468329424694346584436598663932375.1696122463390647724
22 × 3 × 510205282553977
2021-05-3045102052825539772,704.84,233,2727,906,574

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:18:00Carsten Kossendeyleela20000235000---0.005--0.806%
2011-11-10T06:18:00harleeP4_260060000990000---0.017--1.688%
2014-07-28T22:42:00Jocelyn LaroucheManual testing7850678506---0.012--0.653%
2014-09-24T22:53:00HBendtzHAL900750000010000000---0.155--4.165%
2021-03-30T02:08:46axnManual testing200000001000000000---11.18--11.617%
2022-04-10T18:27:19Jocelyn LaroucheManual testing1000000126668850---1.195--6.999%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-11T00:00:00ANONYMOUSv4_computers21260--0.044--
2009-03-20T18:25:00S485122USB-Z260261--0.044--
2011-07-23T09:55:00markroldgamer261262--0.089--
2012-08-18T15:35:00GrunwalderGIMPManual testing21263--0.460--
2016-02-23T16:29:30Mark RoseManual testing262263--0.283--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.566--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.077--
2016-01-04T09:40:09ramgeisManual testing265266--2.155--
2017-02-10T15:33:26Gordon SpenceManual testing266267--4.309--
2019-01-28T14:25:39TJAOIManual testing267268--8.618--
2021-01-08T11:31:09axnManual testing268269--17.24--


ECM factoring results:
Total ECM effort:3.380 GHz-days
Estimated T-Level:4.423
DigitsB1CompleteFacMiss
20110000.88541.287%
25500000.08292.147%
302500000.00599.485%


ECM Summary

B1B2factorcurvesGHz-days
50000470000010.143
500005000000223.237


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-20T00:00:00Kimon Berlinv4_computersC0149BFD357FEE530.364
1999-09-30T00:00:00ANONYMOUSv4_computersC0149BFD357FEE530.364


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-06T07:41:09Chang Chia-Tcheexbpc13
42469434658443659866393
E5C5465B833BFC04no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1000000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 1000000, B2 = 126668850 (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 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 78506 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 235000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T18:27:19+00:00