is 2 3454469 - 1
has 1039899 decimal digits
takes 0.363 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-
PRP5F09A107E9610ECFverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.560168.1159%10000001266688501.19506.9956%35.755170.3464%2.2305%
PrimeNet2600.044563.3333%150002800000.00452.9021%0.048964.3974%1.0641%
GPU722641.030465.6250%190003400000.00561.8552%1.035966.2627%0.6377%
Difference+5+33.5297+2.4909%+981000+126328850+1.1894+5.1404%+34.7192+4.0837%+4.0837%

Known prime factors (1 factor, 73.7 bits, 0.00213313% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3454469152202219744733133691912373.6882202975620055255
3 × 5 × 37 × 59 × 73 × 921598663
2021-05-2073921598663836.027.646714.282

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-16T02:22:00Carsten Kossendeydurandal20000235000---0.005--0.806%
2011-11-06T04:32:00harleeP4_260060000990000---0.017--1.687%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7858078580---0.012--0.653%
2014-09-21T05:57:00HBendtzHAL900750000010000000---0.155--4.163%
2022-04-10T23:56:34Jocelyn LaroucheManual testing1000000126668850---1.195--6.996%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-22T09:53:00S485122USB-A260261--0.044--
2011-07-31T08:42:00markrManual testing21262--0.178--
2012-08-18T15:34:00GrunwalderGIMPManual testing21263--0.462--
2016-02-23T16:29:30Mark RoseManual testing262263--0.284--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.568--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.082--
2015-04-17T12:32:00Gordon SpenceManual testing265266--2.163--
2017-02-09T04:36:22Gordon SpenceManual testing266267--4.326--
2019-02-11T13:34:47TJAOIManual testing267268--8.653--
2021-01-05T14:21:13axnManual testing268269--17.31--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.529 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:3.529 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110000.77446.108%
25500000.07093.242%
302500000.00499.570%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.235
50000500000020.294


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31T00:00:00ANONYMOUSv4_computers8D8999BDABF095__0.363
2000-03-22T00:00:00ANONYMOUSv4_computers751BDA6289C68A__0.363


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-22T16:47:10kutenssol
15220221974473313369191
5F09A107E9610ECFno


P-1 factor-bounds graph:
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 = 78580 (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: 2022-04-10T23:56:34+00:00