is 2 3501467 - 1
has 1054047 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-
PRPE10CCF7209E7C708verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272273.123769.4444%40000001500000001.82066.4108%274.944371.4033%1.9589%
PrimeNet2600.043963.3333%150003000000.00462.9607%0.048564.4189%1.0856%
GPU722641.016565.6250%200003600000.00591.9156%1.022466.2835%0.6585%
Difference+8+272.1072+3.8194%+3980000+149640000+1.8147+4.4953%+273.9219+5.1198%+5.1198%

Known prime factors (1 factor, 79.9 bits, 0.00228283% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
350146711537168401180751707956232579.933164747638649468233
172815967 × 953312599
2021-10-1417281596795331259950,50432.79453.562

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:43:00Carsten Kossendeyleela20000240000---0.005--0.510%
2011-11-03T19:54:00markrtiny2350005875000---0.083--2.424%
2021-08-21T17:17:21mikrMSI400000015000000012---1.821--6.411%
2022-04-12T19:24:02Jocelyn LaroucheManual testing1000000126668850---1.195--5.372%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-24T19:49:18ArtyomPaxioo50000250000027--0.032
2021-08-25T05:39:12ArtyomPaxioo50000250000065--0.032


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-07-07T00:00:00ANONYMOUSv4_computers21260--0.044--
2009-02-20T01:50:00Jayson Kingatlas260261--0.044--
2011-07-19T12:56:00Grant McCrackenthumper261262--0.088--
2012-06-20T01:18:00GrunwalderGIMPManual testing21263--0.456--
2016-02-23T16:29:31Mark RoseManual testing262263--0.280--
2015-01-25T20:43:00VictordeHollanderManual testing263264--0.561--
2015-01-25T20:43:00VictordeHollanderManual testing264265--1.067--
2016-03-04T00:01:28omylistManual testing265266--2.134--
2017-01-07T17:26:11Gordon SpenceManual testing266267--4.268--
2018-12-17T13:21:51TJAOIManual testing267268--8.537--
2021-01-14T15:38:14axnManual testing268269--17.07--
2021-03-17T11:32:51-Anonymous-Manual testing269270--34.15--
2021-03-17T11:32:51-Anonymous-Manual testing270271--68.29--
2021-03-19T16:52:39-Anonymous-Manual testing271272--136.6--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.663 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:6.663 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.69918.292%
25500000.15785.466%
302500000.01099.011%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.275
50000670000071.192
50000675000071.196


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26T00:00:00vidmarv4_computers2A600561517B3C__0.368


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-15T02:38:07kutensspica
1153716840118075170795623
E10CCF7209E7C708no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 126668850 (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: 2022-04-12T19:24:02+00:00