is 2 6934021 - 1
has 2087349 decimal digits
takes 1.512 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC59ECFA0FC2DC0EBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.919168.0556%20000002588493605.05696.9793%142.976070.2850%2.2295%
PrimeNet2630.230263.4921%280007000000.02043.1611%0.250664.6461%1.1540%
GPU722674.285265.6716%450009000000.02902.2370%4.314266.4396%0.7679%
Difference+5+133.6338+2.3839%+1955000+257949360+5.0280+4.7422%+138.6618+3.8455%+1.4615%

Known prime factors:
No known factors for M6934021

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-10T00:00:00driveByUpgradesv4_computers2500087500---0.009--0.431%
2011-09-03T20:13:00Carsten Kossendeymother44000013310000---0.361--3.505%
2021-06-02T21:12:44Dylan DelgadoManual testing6300001890000012---0.514--3.948%
2021-12-06T11:55:23Seth_TrManual testing2000000258849360---5.057--6.979%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-20T00:00:00ANONYMOUSv4_computers21261--0.044--
1998-10-25T00:00:00jburkelv4_computers21262--0.089--
2005-02-23T00:00:00ANONYMOUSv4_computers21263--0.230--
2014-02-09T10:11:00NesowaManual testing263264--0.283--
2014-02-16T23:04:00lycornManual testing264265--0.539--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.078--
2016-04-03T19:14:48Gordon SpenceManual testing266267--2.155--
2018-02-27T00:21:31-Anonymous-Manual testing267268--4.311--
2020-05-01T08:51:05TJAOIManual testing268269--8.622--
2021-07-24T15:00:40takahashiManual testing269270--17.24--
2021-08-10T15:29:32SRBaseManual testing270271--34.49--
2021-09-25T07:01:28SRBaseManual testing271272--68.97--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers9531877B6D1112__1.512
1999-11-04T00:00:00ANONYMOUSv4_computersC59ECFA0FC2DC0EB1.512
2001-11-17T00:00:00driveByUpgradesv4_computersC59ECFA0FC2DC0EB1.512


PRP results:
No PRP results for M6934021


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 630000, B2 = 18900000 (P-1 stage 2)
B1 = 440000, B2 = 13310000 (P-1 stage 2)
B1 = 630000 (P-1 stage 1)
B1 = 440000 (P-1 stage 1)
B1 = 25000, B2 = 87500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-06T11:55:23+00:00