is 2 3375613 - 1
has 1016161 decimal digits
takes 0.355 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-
PRP78CFB553C18A191Everified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27070.787368.5714%40000001500000001.82067.5160%72.607970.9336%2.3622%
PrimeNet2600.045563.3333%140002800000.00432.8436%0.049864.3760%1.0426%
GPU722641.054465.6250%180003200000.00521.7896%1.059766.2402%0.6152%
Difference+6+69.7329+2.9464%+3982000+149680000+1.8153+5.7264%+71.5482+4.6934%+4.6934%

Known prime factors (1 factor, 76.5 bits, 0.00226697% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33756131086666744178885367113672476.52416095843098407391
11 × 37 × 79 × 500601595447
2021-10-19795006015954474,544.54,153.67,757.7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T04:57:00Carsten Kossendeydurandal15000206250---0.004--0.590%
2011-10-18T15:23:00harleeP4_260060000930000---0.016--1.449%
2014-06-24T22:45:00Jocelyn LaroucheManual testing7901479014---0.012--0.562%
2014-10-12T23:58:00Jocelyn LaroucheManual testing9802898028---0.015--0.645%
2015-08-07T15:55:00Squeeky_SquirrelP4_26001650004331250---0.060--2.641%
2017-04-13T02:08:49Jocelyn Larouchelow 4M33000033000006---0.075--2.769%
2021-03-13T20:58:28mikrMSI400000015000000012---1.821--7.516%
2022-02-25T17:22:06Jocelyn LaroucheManual testing200000200000---0.030--0.975%
2022-04-09T09:24:08Jocelyn LaroucheManual testing10000001000000---0.152--2.063%
2022-04-10T15:21:19Jocelyn LaroucheManual testing1000000124024362---1.173--6.373%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:27Mark RoseManual testing21260--0.045--
2009-03-27T18:51:00S485122USB-Z260261--0.045--
2011-08-15T13:22:00markroldgamer261262--0.091--
2012-11-15T00:22:00GrunwalderGIMPManual testing21263--0.473--
2016-02-23T16:29:27Mark RoseManual testing262263--0.291--
2015-02-15T12:50:00VictordeHollanderManual testing263264--0.582--
2015-02-15T12:50:00VictordeHollanderManual testing264265--1.107--
2015-03-31T11:39:00Gordon SpenceManual testing265266--2.214--
2017-03-08T15:55:31Gordon SpenceManual testing266267--4.427--
2018-10-29T15:18:21TJAOIManual testing267268--8.855--
2021-08-02T10:50:46TJAOIManual testing268269--17.71--
2021-08-24T19:42:22MadPooManual testing269270--35.42--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.198 GHz-days
Estimated T-Level:2.800
DigitsB1CurvesCompleteFacMiss
201100056 / 1000.56056.960%
255000056 / 2800.20081.844%

New Calculation Method

Total ECM effort:8.198 GHz-days
Estimated T-Level:2.800
DigitsB1CompleteFacMiss
20110001.80616.424%
25500000.16384.937%
302500000.01099.000%


ECM Summary

B1B2factorcurvesGHz-days
500005000000507.319
50000500000060.878


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computers48521E2DAE594E__0.355


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-23T15:41:56MarkSlaptop64
108666674417888536711367
78CFB553C18A191Eno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 124024362 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 330000, B2 = 3300000 (P-1 stage 2)
B1 = 165000, B2 = 4331250 (P-1 stage 2)
B1 = 330000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 165000 (P-1 stage 1)
B1 = 60000, B2 = 930000 (P-1 stage 2)
B1 = 98028 (P-1 stage 1)
B1 = 79014 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T15:21:19+00:00