is 2 3466651 - 1
has 1043566 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-L-unknown--unknown-
PRP94517B1548CD07BDverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.438768.1159%20000000100000000011.177111.6162%45.615771.8196%3.7037%
PrimeNet2600.044363.3333%150002800000.00452.9039%0.048864.3981%1.0647%
GPU722641.026765.6250%190003600000.00571.8855%1.032566.2731%0.6481%
Difference+5+33.4119+2.4909%+19981000+999640000+11.1713+9.7307%+44.5833+5.5465%+5.5465%

Known prime factors (1 factor, 91.5 bits, 0.00264065% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
346665136055384907081917264317537532891.542520031940150334101476
22 × 7 × 663359 × 27997764846913
2021-10-3166335927997764846913264,772,346232,303433,877

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:16:00Carsten Kossendeyleela20000235000---0.005--0.806%
2011-11-09T17:18:00harleeP4_260060000990000---0.017--1.688%
2014-07-28T22:41:00Jocelyn LaroucheManual testing7851578515---0.012--0.653%
2014-09-24T11:25:00HBendtzHAL900750000010000000---0.155--4.165%
2021-03-24T07:13:27axnManual testing200000001000000000---11.18--11.616%
2022-04-10T23:56:43Jocelyn LaroucheManual testing1000000126668850---1.195--6.998%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:30Mark RoseManual testing21260--0.044--
2009-03-20T18:26:00S485122USB-Z260261--0.044--
2011-07-25T03:40:00markroldgamer261262--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--1.078--
2016-01-04T09:40:09ramgeisManual testing265266--2.156--
2017-02-10T15:33:26Gordon SpenceManual testing266267--4.311--
2019-02-04T14:28:16TJAOIManual testing267268--8.622--
2021-01-08T01:59:27axnManual testing268269--17.24--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.835 GHz-days
Estimated T-Level:2.250
DigitsB1CurvesCompleteFacMiss
201100045 / 1000.45063.619%
255000045 / 2800.16185.129%

New Calculation Method

Total ECM effort:6.835 GHz-days
Estimated T-Level:2.250
DigitsB1CompleteFacMiss
20110001.76017.211%
25500000.16384.973%
302500000.01098.976%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.297
50000670000020.340
50000680000071.198


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computers8CE25BB4395F06__0.364


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-01T13:28:31kutensterra
3605538490708191726431753753
94517B1548CD07BDno


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 = 78515 (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: 2022-04-10T23:56:43+00:00