is 2 3442163 - 1
has 1036195 decimal digits
takes 0.362 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF097F02231CC89EDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.683768.1159%50000002000000002.37948.6467%37.063170.8729%2.7569%
PrimeNet2600.044663.3333%150002800000.00452.9002%0.049164.3967%1.0634%
GPU722641.034065.6250%190003400000.00561.8540%1.039666.2623%0.6373%
Difference+5+33.6496+2.4909%+4981000+199660000+2.3738+6.7927%+36.0235+4.6106%+4.6106%

Known prime factors (1 factor, 86.7 bits, 0.00251997% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34421631293709699051164179189142232786.74218792103962699677197
7 × 17 × 11369 × 731881 × 18978667
2021-05-30731881189786676,422,2040.26290.2941

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-10-12T11:49:00markrtiny1150002558750---0.038--2.460%
2017-01-14T11:02:56Squeeky_SquirrelP4_2600215000628875012---0.083--3.356%
2017-01-19T17:19:04Jocelyn Larouchelow 4M138000138000---0.021--0.913%
2017-01-30T01:30:48Jocelyn Larouchelow 4M165600165600---0.025--1.010%
2017-02-04T18:42:58Jocelyn Larouchelow 4M198720198720---0.030--1.113%
2018-08-20T10:36:04Jocelyn Larouchelow 4M4300003870000---0.094--3.314%
2018-08-21T10:21:11Jocelyn Larouchelow 4M4300004300000---0.098--3.398%
2021-05-30T07:55:11mikrMSI5000000200000000122786.7422.3790.7234.7598.647%
2022-03-24T08:46:59Jocelyn LaroucheManual testing1000000123342450-
skipped known factor: 129370969905116417918914223
--1.167--6.966%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-22T09:54:00S485122USB-A260261--0.045--
2011-08-10T20:51:00markrManual testing21262--0.178--
2012-08-18T15:34:00GrunwalderGIMPManual testing21263--0.464--
2016-02-23T16:29:30Mark RoseManual testing262263--0.285--
2015-02-24T22:14:00VictordeHollanderManual testing263264--0.570--
2015-02-24T22:14:00VictordeHollanderManual testing264265--1.085--
2015-04-15T14:57:00Gordon SpenceManual testing265266--2.171--
2017-02-05T22:59:59Gordon SpenceManual testing266267--4.342--
2018-08-06T14:04:58TJAOIManual testing267268--8.684--
2021-01-03T02:54:26axnManual testing268269--17.37--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.233 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:4.233 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110000.93539.240%
25500000.08491.941%
302500000.00599.484%


ECM Summary

B1B2factorcurvesGHz-days
50000470000071.001
500005000000223.233


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computersF097F02231CC89ED0.362


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-31T19:44:35mikrNitron
129370969905116417918914223
B5E45B5E35FEEC22no
2021-06-01T06:09:33kutensterra
129370969905116417918914223
B5E45B5E35FEEC22no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 1000000, B2 = 123342450 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 430000, B2 = 4300000 (P-1 stage 2)
B1 = 430000, B2 = 3870000 (P-1 stage 2)
B1 = 215000, B2 = 6288750 (P-1 stage 2)
B1 = 430000 (P-1 stage 1)
B1 = 115000, B2 = 2558750 (P-1 stage 2)
B1 = 215000 (P-1 stage 1)
B1 = 198720 (P-1 stage 1)
B1 = 165600 (P-1 stage 1)
B1 = 138000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
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109
TF factor-bounds graph:
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266
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Last modified: 2022-03-24T08:46:59+00:00