is 2 6962209 - 1
has 2095834 decimal digits
takes 1.518 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA1B734C125FA625Cdouble-checked
PRPCA07B34162EA2D5CPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.360768.0556%40000004568186709.06528.0828%146.425870.6376%2.5820%
PrimeNet2630.229263.4921%280007000000.02043.1632%0.249764.6469%1.1548%
GPU722674.267965.6716%450009000000.02902.2385%4.296866.4401%0.7685%
Difference+5+133.0928+2.3839%+3955000+455918670+9.0362+5.8443%+142.1290+4.1975%+1.8136%

Known prime factors (1 factor, 74.7 bits, 0.00107308% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6962209309066089015258391768472374.7102219597896409447
41 × 354047 × 152907761
2021-12-06354047152907761697.852.73994.9197

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-08T00:00:00Chris Snyderv4_computers3000030000---0.009--0.234%
2011-09-06T05:37:00Carsten Kossendeymother44000013640000---0.367--3.524%
2021-11-17T12:57:35Seth_TrManual testing30000007500000012---2.189--5.985%
2021-12-05T22:44:25Seth_TrManual testing40000004568186702374.7109.0653.03618.138.083%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21T00:00:00ANONYMOUSv4_computers21262--0.088--
2005-07-17T00:00:00ANONYMOUSv4_computers21263--0.229--
2014-02-09T10:13:00NesowaManual testing263264--0.282--
2014-02-15T15:54:00lycornManual testing264265--0.537--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.073--
2016-04-25T00:49:43Gordon SpenceManual testing266267--2.147--
2018-02-26T00:48:48-Anonymous-Manual testing267268--4.293--
2020-04-24T07:20:59TJAOIManual testing268269--8.587--
2021-08-04T22:39:13takahashiManual testing269270--17.17--
2021-09-06T17:47:09SRBaseManual testing270271--34.35--
2021-09-28T15:01:43SRBaseManual testing271272--68.69--


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)
1999-03-26T00:00:00ANONYMOUSv4_computers7A4F112654C3BA__1.518
1999-09-30T00:00:00ANONYMOUSv4_computersA1B734C125FA625C1.518
2002-02-10T00:00:00Chris Snyderv4_computersA1B734C125FA625C1.518


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-15T05:41:17LaurVtrabi
30906608901525839176847
CA07B34162EA2D5Cno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 456818670 (P-1 stage 2)
B1 = 3000000, B2 = 75000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 440000, B2 = 13640000 (P-1 stage 2)
B1 = 440000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-15T05:41:17+00:00