is 2 3507029 - 1
has 1055721 decimal digits
takes 0.368 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-
PRP35F60BC7CE61423Everified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272272.690569.4444%40000001500000001.82066.4119%274.511171.4036%1.9592%
PrimeNet2600.043863.3333%150003000000.00462.9615%0.048464.4192%1.0859%
GPU722641.014965.6250%200003600000.00591.9161%1.020866.2837%0.6587%
Difference+8+271.6756+3.8194%+3980000+149640000+1.8147+4.4958%+273.4903+5.1200%+5.1200%

Known prime factors (1 factor, 86.7 bits, 0.00247156% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35070291238088301641032191077953532786.67817651526429365599644
22 × 32 × 78367 × 80671 × 77558447
2021-09-1680671775584476,058,7100.65511.2019

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T06:46:00Carsten Kossendeyleela20000240000---0.005--0.510%
2011-11-08T01:22:00markrtiny2350005875000---0.083--2.425%
2021-09-16T08:34:50mikrMSI4000000150000000122786.6781.8210.7373.6416.412%
2022-04-23T18:01:26Jocelyn LaroucheManual testing1000000145208700-
skipped known factor: 123808830164103219107795353
--1.349--5.486%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-26T13:47:15ArtyomPaxioo50000250000027--0.032
2021-08-26T14:09:40ArtyomPaxioo50000250000065--0.032


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:31Mark RoseManual testing21260--0.044--
2009-02-20T14:01:00Jayson Kingatlas260261--0.044--
2011-07-16T01:16:00Grant McCrackenthumper261262--0.088--
2012-06-20T01:19:00GrunwalderGIMPManual testing21263--0.455--
2016-02-23T16:29:31Mark RoseManual testing262263--0.280--
2015-01-25T20:43:00VictordeHollanderManual testing263264--0.560--
2015-01-25T20:43:00VictordeHollanderManual testing264265--1.065--
2016-03-04T09:43:19ramgeisManual testing265266--2.131--
2017-01-07T17:26:13Gordon SpenceManual testing266267--4.262--
2018-12-10T15:07:49TJAOIManual testing267268--8.523--
2021-01-15T12:32:04axnManual testing268269--17.05--
2021-03-17T11:32:43-Anonymous-Manual testing269270--34.09--
2021-03-17T11:32:43-Anonymous-Manual testing270271--68.19--
2021-03-19T11:33:25-Anonymous-Manual testing271272--136.4--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.473 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:5.473 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.17730.824%
25500000.10789.880%
302500000.00799.344%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.277
50000675000071.197


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-07T00:00:00ANONYMOUSv4_computersE4CECF0BE86FB4__0.368


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-19T08:01:13DrDerpenbergMain
123808830164103219107795353
35F60BC7CE61423Eno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 145208700 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 235000, B2 = 5875000 (P-1 stage 2)
B1 = 235000 (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: 2022-04-23T18:01:26+00:00