is 2 3478459 - 1
has 1047121 decimal digits
takes 0.365 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L64451AD58C9BB897double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.135467.6471%10000001146568501.09537.5246%18.230770.0815%2.4344%
PrimeNet2600.044263.3333%150003000000.00462.9572%0.048864.4177%1.0843%
GPU722641.023265.6250%190003600000.00571.8866%1.029066.2735%0.6485%
Difference+4+16.1122+2.0221%+981000+114296850+1.0896+5.6379%+17.2018+3.8079%+3.8079%

Known prime factors (1 factor, 66.2 bits, 0.00190333% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3478459851475499804040351272066.20712239263130657
131 × 2309 × 40463183
2017-01-062309404631837.77690.33610.6271

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07T04:44:00Carsten Kossendeyleela20000240000---0.005--0.946%
2011-11-12T23:18:00harleeP4_260060000990000---0.017--1.921%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7845278452---0.012--0.756%
2014-09-27T15:52:00HBendtzHAL900750000010000000---0.155--4.598%
2021-03-04T23:53:12Jocelyn LaroucheManual testing347845347845---0.053--1.665%
2021-03-19T00:41:53Jocelyn LaroucheManual testing34784534784596---0.079--3.506%
2022-01-22T17:08:35Jocelyn LaroucheManual testing1000000114656850-
skipped known factor: 85147549980404035127
--1.095--7.525%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-21T00:00:00ANONYMOUSv4_computers21260--0.044--
2009-03-20T18:22:00S485122USB-Z260261--0.044--
2011-07-24T23:51:00Grant McCrackenthumper261262--0.088--
2012-08-18T15:36:00GrunwalderGIMPManual testing21263--0.459--
2016-02-23T16:29:31Mark RoseManual testing262263--0.282--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.564--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.074--
2021-03-19T00:41:56Jocelyn LaroucheManual testing265266--2.148--
2016-01-05T09:38:57ramgeisManual testing265266--2.148--
2022-06-01T21:31:02LordJuliusManual testing26626766.207203.5310.7427.174
2021-06-13T12:36:30Jocelyn LaroucheManual testing267268--8.593--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.325 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.325 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000091.325


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-21T00:00:00ANONYMOUSv4_computers64451AD58C9BB8970.365
1999-07-12T00:00:00Ethan O'Connorv4_computers64451AD58C9BB8970.365


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T21:58:45kkmrkkblmbrbkc4.xlarge
85147549980404035127
86CB05434FDDBB__no
2017-11-23T13:13:46Oliver KruseGTX-0
85147549980404035127
86CB05434FDDBB__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 347845, B2 = 3478459 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 347845 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 78452 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-06-01T21:31:02+00:00