is 2 3435881 - 1
has 1034304 decimal digits
takes 0.361 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP68BEB1DB8F522C52verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.747168.1159%140000007000000007.823910.9084%42.571071.5940%3.4781%
PrimeNet2600.044763.3333%150002800000.00452.8993%0.049264.3964%1.0631%
GPU722641.035965.6250%190003400000.00561.8534%1.041566.2621%0.6371%
Difference+5+33.7111+2.4909%+13981000+699660000+7.8184+9.0551%+41.5295+5.3319%+5.3319%

Known prime factors (1 factor, 76.1 bits, 0.00221532% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3435881818701356785798875914412376.11611913994646290120
23 × 5 × 297849866157253
2021-08-0882978498661572535,418.32,471,3184,615,734

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:56:00Carsten Kossendeyleela15000210000---0.004--0.699%
2011-11-02T06:42:00harleeP4_260060000945000---0.016--1.664%
2014-07-18T01:20:00Jocelyn LaroucheManual testing7868178681---0.012--0.653%
2014-09-16T13:22:00HBendtzHAL900750000010000000---0.155--4.160%
2021-05-07T01:40:39axnManual testing14000000700000000---7.824--10.908%
2022-04-10T23:56:38Jocelyn LaroucheManual testing1000000126668850---1.195--6.992%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:29Mark RoseManual testing21260--0.045--
2009-03-22T20:32:00S485122USB-Z260261--0.045--
2011-08-05T10:03:00markroldgamer261262--0.089--
2012-08-18T15:33:00GrunwalderGIMPManual testing21263--0.465--
2016-02-23T16:29:29Mark RoseManual testing262263--0.286--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.571--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.087--
2015-04-13T14:45:00Gordon SpenceManual testing265266--2.175--
2017-02-05T22:59:58Gordon SpenceManual testing266267--4.350--
2018-09-10T13:18:22TJAOIManual testing267268--8.700--
2021-01-01T17:29:49axnManual testing268269--17.40--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.248 GHz-days
Estimated T-Level:2.000
DigitsB1CurvesCompleteFacMiss
201100040 / 1000.40066.897%
255000040 / 2800.14386.666%

New Calculation Method

Total ECM effort:6.248 GHz-days
Estimated T-Level:2.000
DigitsB1CompleteFacMiss
20110001.32226.652%
25500000.11988.745%
302500000.00799.266%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.231
50000630000071.149
50000670000071.186
50000675000040.681


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31T00:00:00Martijn Ottov4_computersF4D15E482E6BF2__0.361


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-08T18:54:41SRJ2877LTOS
81870135678579887591441
68BEB1DB8F522C52no


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 78681 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 210000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T23:56:38+00:00