is 2 3501041 - 1
has 1053919 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-L2EDF2268ADE8D389double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272273.156969.4444%40000001500000001.82066.4108%274.977571.4033%1.9588%
PrimeNet2600.043963.3333%150003000000.00462.9606%0.048564.4189%1.0856%
GPU722641.016665.6250%200003600000.00591.9155%1.022566.2835%0.6585%
Difference+8+272.1403+3.8194%+3980000+149640000+1.8147+4.4953%+273.9550+5.1198%+5.1198%

Known prime factors:
No known factors for M3501041

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:43:00Carsten Kossendeyleela20000240000---0.005--0.510%
2011-11-03T12:10:00markrtiny2350005875000---0.083--2.424%
2021-08-20T01:00:51mikrMSI400000015000000012---1.821--6.411%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-24T18:02:36ArtyomPaxioo50000250000027--0.032
2021-08-24T18:21:21ArtyomPaxioo50000250000065--0.032


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:31Mark RoseManual testing21260--0.044--
2009-02-19T05:52:00Jayson Kingatlas260261--0.044--
2011-07-19T04:01:00Grant 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--4.269--
2018-12-17T13:21:51TJAOIManual testing267268--8.538--
2021-01-14T15:38:14axnManual testing268269--17.08--
2021-03-17T11:32:49-Anonymous-Manual testing269270--34.15--
2021-03-17T11:32:49-Anonymous-Manual testing270271--68.30--
2021-03-19T11:33:30-Anonymous-Manual testing271272--136.6--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.731 GHz-days
Estimated T-Level:2.850
DigitsB1CurvesCompleteFacMiss
201100057 / 1000.57056.391%
255000057 / 2800.20481.551%

New Calculation Method

Total ECM effort:8.731 GHz-days
Estimated T-Level:2.850
DigitsB1CompleteFacMiss
20110002.23710.676%
25500000.20781.312%
302500000.01398.701%


ECM Summary

B1B2factorcurvesGHz-days
500005000000436.339
50000669240571.191
50000680000071.201


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-15T00:00:00ANONYMOUSv4_computers2EDF2268ADE8D3890.368


PRP results:
No PRP results for M3501041


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 4000000 (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: 2022-05-05T18:49:47+00:00