is 2 6981731 - 1
has 2101711 decimal digits
takes 1.522 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LAD78A3621177798Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272136.976668.0556%20000002588493605.05696.9842%142.033570.2866%2.2311%
PrimeNet2630.228663.4921%300008000000.02273.3122%0.251364.7013%1.2092%
GPU722674.256065.6716%450009000000.02902.2396%4.284966.4404%0.7688%
Difference+5+132.7206+2.3839%+1955000+257949360+5.0280+4.7446%+137.7486+3.8462%+1.4622%

Known prime factors (1 factor, 75.4 bits, 0.00108039% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6981731508822454557046995317112375.4303643956309381205
5 × 107 × 347177 × 19618619
2021-12-07347177196186191,856.30.44170.6312

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-16T00:00:00vidmarv4_computers3000030000---0.009--0.235%
2011-09-07T19:17:00Carsten Kossendeymother44500013683750---0.369--3.534%
2021-12-06T04:34:10Seth_TrManual testing20000002000000---0.632--2.397%
2021-12-07T13:29:49Seth_TrManual testing20000002588493602375.4305.0573.04510.116.984%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-11T00:00:00ANONYMOUSv4_computers21261--0.044--
1998-08-16T00:00:00ANONYMOUSv4_computers21262--0.088--
1998-09-20T00:00:00ANONYMOUSv4_computers21262--0.088--
2005-08-16T00:00:00ANONYMOUSv4_computers21263--0.229--
2014-02-09T10:18:00NesowaManual testing263264--0.281--
2014-02-14T13:44:00lycornManual testing264265--0.535--
2015-07-03T01:16:00VictordeHollanderManual testing265266--1.070--
2016-04-26T14:24:13Gordon SpenceManual testing266267--2.141--
2018-02-27T02:58:09-Anonymous-Manual testing267268--4.281--
2020-04-10T07:57:03TJAOIManual testing268269--8.563--
2021-08-11T11:44:23takahashiManual testing269270--17.13--
2021-09-06T17:47:31SRBaseManual testing270271--34.25--
2021-09-25T07:01:40SRBaseManual testing271272--68.50--


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)
1999-04-02T00:00:00ANONYMOUSv4_computers19DB17D9039368__1.522
1999-05-23T00:00:00ANONYMOUSv4_computersAD78A3621177798C1.522
2001-10-25T00:00:00vidmarv4_computersAD78A3621177798C1.522


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-14T14:20:26_p95holder_TFL16_PRPt11-E_b
50882245455704699531711
86F6139DDA21A6__no
2021-12-16T01:18:30Joe S.VMWare1
50882245455704699531711
86F6139DDA21A68Fno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 445000, B2 = 13683750 (P-1 stage 2)
B1 = 445000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
103
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107
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109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
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250
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2100
Last modified: 2021-12-16T01:18:30+00:00