is 2 3468293 - 1
has 1044061 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-L0AACF1BA16C0AE6Cdouble-checked
PRP88089BC063B7C1F6verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.422368.1159%20000000100000000011.177111.6166%45.599471.8198%3.7038%
PrimeNet2600.044363.3333%150002800000.00452.9041%0.048864.3982%1.0648%
GPU722641.026265.6250%190003600000.00571.8856%1.032066.2732%0.6482%
Difference+5+33.3961+2.4909%+19981000+999640000+11.1713+9.7310%+44.5674+5.5466%+5.5466%

Known prime factors (1 factor, 92.8 bits, 0.00267444% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
346829383699811794171432354251960792892.7571206642746073809686123
12269 × 26573 × 3701084088979
2021-10-27265733701084088979382,010,55030,70957,355

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:18:00Carsten Kossendeyleela20000235000---0.005--0.806%
2011-11-10T05:57:00harleeP4_260060000990000---0.017--1.688%
2014-07-28T22:42:00Jocelyn LaroucheManual testing7850678506---0.012--0.653%
2014-09-24T22:36:00HBendtzHAL900750000010000000---0.155--4.165%
2021-03-30T02:08:46axnManual testing200000001000000000---11.18--11.617%
2022-04-10T23:56:43Jocelyn LaroucheManual testing1000000126668850---1.195--6.999%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-23T00:00:00Trent Tauferv4_computers21260--0.044--
2009-03-21T17:05:00S485122USB-A260261--0.044--
2011-07-23T10:53:00markroldgamer261262--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:

Old Calculation Method

Total ECM effort:7.799 GHz-days
Estimated T-Level:2.650
DigitsB1CurvesCompleteFacMiss
201100053 / 1000.53058.704%
255000053 / 2800.18982.727%

New Calculation Method

Total ECM effort:7.799 GHz-days
Estimated T-Level:2.650
DigitsB1CompleteFacMiss
20110001.71018.092%
25500000.15585.683%
302500000.01099.053%


ECM Summary

B1B2factorcurvesGHz-days
500005000000436.327
500005000000101.471


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-01T00:00:00ANONYMOUSv4_computers0AACF1BA16C0AE6C0.364
1999-12-15T00:00:00ANONYMOUSv4_computers0AACF1BA16C0AE6C0.364
2000-02-01T00:00:00ANONYMOUSv4_computers0AACF1BA16C0AE6C0.364


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-27T13:29:08MarkSdesktop-i7
8369981179417143235425196079
88089BC063B7C1F6no


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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1010
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TF factor-bounds graph:
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Last modified: 2022-04-10T23:56:43+00:00