is 2 3491707 - 1
has 1051109 decimal digits
takes 0.367 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD1E274CFBB35E33Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27068.433868.5714 %140000007000000007.823910.1930 %76.257771.7750 %
Target2641.019465.6250 %1900018000000.01771.8880 %1.037066.2740 %
Difference+6+67.4144+2.9464 %+13981000+698200000+7.8063+8.3051%+75.2207+5.5010 %

Known prime factors (1 factor, 71.3 bits, 0.00204296% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
349170729769440357099070069112271.334426287777827565
5 × 85257555565513
2022-12-15585257555565513136.92707,3991,321,223

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-08Carsten Kossendeymother20000240000--0.0051.707%
2011-11-17USAFSSP4_2600600009900006--0.0173.157%
2014-08-21JossManual testing7838278382--0.0121.340%
2014-09-05HBendtzManual testing6150001200000012--0.1887.108%
2021-04-17axnManual testing14000000700000000--7.82415.158%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-03-19S485122USB-Z2602610.044
2011-07-18markrManual testing212620.088
2012-08-18GrunwalderGIMPManual testing212630.457
2016-02-23Mark RoseManual testing2622630.281
2015-02-07VictordeHollanderManual testing2632640.562
2015-02-07VictordeHollanderManual testing2642651.070
2016-01-06ramgeisManual testing2652662.140
2017-02-20Gordon SpenceManual testing2662674.280
2018-08-20TJAOIManual testing2672688.561
2021-01-13axnManual testing26826917.12
2022-02-23TJAOIManual testing26927034.24


ECM factoring results:
Total ECM effort:11.117 GHz-days
Estimated T-Level:21.298
DigitsB1CompleteFacMiss
20110002.8036.062%
25500000.26077.135%
302500000.01698.374%


ECM Summary

B1B2factorcurvesGHz-days
500005000000649.287
50000680000071.200
500003891478510.630


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26curtiscv4_computersD1E274CFBB35E33C0.367


PRP results:
dateuseridcompidcofactorsres64
2022-12-17LaurVdebi
2976944035709907006911
6CEF3F90FCB84DD2


CERT results:
dateuseridcompid
2022-12-17curtiscot014071


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 615000, B2 = 12000000 (P-1 stage 2)
B1 = 615000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 78382 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.3 ~= 54-bit
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Last modified: 2024-02-09T03:30:02+00:00