is 2 6948419 - 1
has 2091683 decimal digits
takes 1.515 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA3CD81F51147E91Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.633368.0556%20000002588493605.05696.9807%142.690270.2855%2.2300%
PrimeNet2630.229763.4921%280007000000.02043.1621%0.250164.6465%1.1544%
GPU722674.276465.6716%450009000000.02902.2378%4.305366.4398%0.7682%
Difference+5+133.3569+2.3839%+1955000+257949360+5.0280+4.7429%+138.3849+3.8457%+1.4618%

Known prime factors:
No known factors for M6948419

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-10T00:00:00ANONYMOUSv4_computers30000270000---0.014--0.705%
2011-12-09T02:54:00James HeinrichQ66001300002827500---0.088--2.015%
2020-01-20T17:01:46takahashivaio6000001200000012---0.386--3.583%
2021-12-07T00:08:37Seth_TrManual testing2000000258849360---5.057--6.981%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05T00:00:00ANONYMOUSv4_computers21261--0.044--
1998-08-02T00:00:00ANONYMOUSv4_computers21262--0.088--
2005-03-20T00:00:00ANONYMOUSv4_computers21263--0.230--
2014-02-09T10:12:00NesowaManual testing263264--0.283--
2014-02-16T12:45:00lycornManual testing264265--0.538--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.075--
2016-04-05T22:46:26Gordon SpenceManual testing266267--2.151--
2018-02-26T00:48:47-Anonymous-Manual testing267268--4.302--
2020-04-10T07:57:04TJAOIManual testing268269--8.604--
2021-07-31T07:00:35takahashiManual testing269270--17.21--
2021-08-12T16:38:28SRBaseManual testing270271--34.41--
2021-09-25T07:22:12SRBaseManual testing271272--68.83--


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)
1999-10-15T00:00:00ANONYMOUSv4_computersA3CD81F51147E91C1.515
2001-11-03T00:00:00ANONYMOUSv4_computersA3CD81F51147E91C1.515


PRP results:
No PRP results for M6948419


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 130000, B2 = 2827500 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 30000, B2 = 270000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-07T00:08:37+00:00