is 2 3465799 - 1
has 1043310 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-
PRP38434C5900A493FDverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.447168.1159%20000000100000000011.177111.6159%45.624271.8196%3.7036%
PrimeNet2600.044363.3333%150002800000.00452.9037%0.048864.3980%1.0647%
GPU722641.027065.6250%190003600000.00571.8854%1.032766.2731%0.6481%
Difference+5+33.4201+2.4909%+19981000+999640000+11.1713+9.7306%+44.5915+5.5465%+5.5465%

Known prime factors (1 factor, 69.1 bits, 0.00199373% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34657996321070622991332922732169.09991192112165064
23 × 3 × 3799671340211
2021-07-018379967134021157.92431,52758,883

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:15:00Carsten Kossendeyleela20000235000---0.005--0.806%
2011-11-09T09:18:00harleeP4_260060000990000---0.017--1.687%
2014-07-28T22:41:00Jocelyn LaroucheManual testing7851978519---0.012--0.653%
2014-09-24T04:08:00HBendtzHAL900750000010000000---0.155--4.165%
2021-03-16T11:48:45axnManual testing200000001000000000---11.18--11.616%
2022-01-21T19:39:06Jocelyn LaroucheManual testing1000000114656850---1.095--6.896%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:30Mark RoseManual testing21260--0.044--
2009-03-20T18:24:00S485122USB-A260261--0.044--
2011-07-26T06:44:00markroldgamer261262--0.089--
2012-08-18T15:35:00GrunwalderGIMPManual testing21263--0.461--
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--
2016-01-04T09:40:08ramgeisManual testing265266--2.156--
2017-02-10T15:33:25Gordon SpenceManual testing266267--4.312--
2019-02-11T13:34:45TJAOIManual testing267268--8.625--
2021-01-08T01:59:27axnManual testing268269--17.25--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.561 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:4.561 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09091.358%
302500000.00699.445%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.267
50000500000020.294


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30T00:00:00ANONYMOUSv4_computers27DA5F8F51BB46__0.364


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-02T10:06:52tottenhoff2018pc
632107062299133292273
38434C5900A493FDno


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1000000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 1000000, B2 = 114656850 (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 = 78519 (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: 2022-01-21T19:39:06+00:00