is 2 6906943 - 1
has 2079198 decimal digits
takes 1.506 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L54FE377768B98B2Adouble-checked
PRP4C8818F0EF33CC1CPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272138.459868.0556%40000004143239108.33317.9699%146.792970.6015%2.5459%
PrimeNet2630.231163.4921%280007000000.02043.1591%0.251564.6454%1.1533%
GPU722674.302065.6716%450009000000.02902.2356%4.331066.4391%0.7674%
Difference+5+134.1577+2.3839%+3955000+413423910+8.3042+5.7343%+142.4619+4.1624%+1.7785%

Known prime factors (1 factor, 78.1 bits, 0.00113116% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
69069433303820270112136793464312478.12823916660888269505
3 × 5 × 19 × 1181 × 2377 × 29893489
2021-11-2223772989348912,0570.51570.9618

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-24T00:00:00ANONYMOUSv4_computers30000247500---0.013--0.684%
2001-11-24T00:00:00ANONYMOUSv4_computers30000232500---0.013--0.669%
2002-03-10T00:00:00ANONYMOUSv4_computers35000341250---0.016--0.798%
2011-11-20T16:34:00James Heinrichi7-9201300002665000---0.085--1.985%
2020-01-08T20:15:54takahashivaio6000001200000012---0.386--3.581%
2021-11-22T11:46:07Seth_TrManual testing4000000110000000122478.1283.0913.0126.1816.529%
2021-11-29T23:47:53Seth_TrManual testing40000004143239102478.1288.3333.01216.677.970%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05T00:00:00ANONYMOUSv4_computers21261--0.044--
1998-07-05T00:00:00ANONYMOUSv4_computers21262--0.089--
2001-11-24T00:00:00ANONYMOUSv4_computers21263--0.231--
2014-02-09T10:09:00NesowaManual testing263264--0.284--
2014-02-18T07:34:00lycornManual testing264265--0.541--
2015-06-21T19:55:00VictordeHollanderManual testing265266--1.082--
2016-04-01T12:34:42Gordon SpenceManual testing266267--2.164--
2018-02-27T02:58:03-Anonymous-Manual testing267268--4.328--
2019-12-11T18:37:03mnd9Manual testing268269--8.655--
2020-12-21T22:42:35takahashiManual testing269270--17.31--
2021-08-11T16:31:21SRBaseManual testing270271--34.62--
2021-09-25T07:19:31SRBaseManual testing271272--69.24--


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)
1999-08-31T00:00:00ANONYMOUSv4_computers54FE377768B98B2A1.506
2002-04-14T00:00:00ANONYMOUSv4_computers54FE377768B98B2A1.506


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-30T01:24:42RichD0Linux-0
330382027011213679346431
4C8818F0EF33CC1Cno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 414323910 (P-1 stage 2)
B1 = 4000000, B2 = 110000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 130000, B2 = 2665000 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 35000, B2 = 341250 (P-1 stage 2)
B1 = 30000, B2 = 247500 (P-1 stage 2)
B1 = 30000, B2 = 232500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-30T01:24:42+00:00