is 2 3354269 - 1
has 1009736 decimal digits
takes 0.352 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-
PRPE25A4645CD313495verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.769967.6471%40000001500000001.82068.7999%19.590470.4941%2.8470%
PrimeNet2600.045863.3333%140002800000.00432.8403%0.050164.3748%1.0415%
GPU722641.061165.6250%180003000000.00511.7558%1.066266.2286%0.6036%
Difference+4+16.7087+2.0221%+3982000+149700000+1.8155+7.0441%+18.5242+4.2655%+4.2655%

Known prime factors (1 factor, 74.2 bits, 0.00221285% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3354269220772139732501383130972374.2253290912859590292
22 × 3 × 274242738299191
2021-02-2242742427382991911,276.92,275,4454,249,898

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-05T17:23:00Carsten Kossendeydurandal15000206250---0.004--0.809%
2011-10-11T23:12:00harleeP4_260055000907500---0.015--1.829%
2014-05-19T21:01:00Jocelyn LaroucheManual testing7413574135---0.011--0.725%
2014-09-23T20:52:00Jocelyn LaroucheManual testing9327093270---0.014--0.834%
2015-07-31T12:12:00Jocelyn LaroucheManual testing397784397784---0.061--1.759%
2015-10-07T06:14:15Jocelyn LaroucheManual testing453520453520---0.069--1.863%
2015-12-06T13:29:47Jocelyn LaroucheManual testing498872498872---0.076--1.941%
2016-05-09T02:46:00mognutsStanley20000200000---0.005--0.885%
2016-06-20T03:43:46Jocelyn LaroucheManual testing498872997744---0.080--2.532%
2016-06-21T03:40:58Jocelyn LaroucheManual testing49887219954886---0.088--3.133%
2016-07-17T03:47:13Jocelyn LaroucheManual testing49887239909766---0.105--3.746%
2020-10-11T10:17:47mikrMSI400000015000000012---1.821--8.800%
2022-03-18T13:53:54Jocelyn LaroucheManual testing1000000134343300---1.259--7.668%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-29T08:00:00S485122USB-Z260261--0.046--
2011-08-19T22:54:00markrManual testing21262--0.183--
2012-11-15T00:21:00GrunwalderGIMPManual testing21263--0.476--
2016-02-23T16:29:26Mark RoseManual testing262263--0.293--
2015-02-11T09:07:00VictordeHollanderManual testing263264--0.585--
2015-02-11T09:07:00VictordeHollanderManual testing264265--1.114--
2016-03-04T01:08:28ramgeisManual testing265266--2.228--
2017-03-05T04:56:33Gordon SpenceManual testing266267--4.456--
2018-12-17T13:21:53TJAOIManual testing267268--8.911--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.650 GHz-days
Estimated T-Level:3.300
DigitsB1CurvesCompleteFacMiss
201100066 / 1000.66051.514%
255000066 / 2800.23678.967%

New Calculation Method

Total ECM effort:9.650 GHz-days
Estimated T-Level:3.300
DigitsB1CompleteFacMiss
20110002.12911.895%
25500000.19282.496%
302500000.01298.822%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.193
500005000000517.457


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computers37C61EB81F41C0__0.352


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-23T15:22:58mrhlanai
22077213973250138313097
E25A4645CD313495no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 498872, B2 = 3990976 (P-1 stage 2)
B1 = 498872, B2 = 1995488 (P-1 stage 2)
B1 = 498872, B2 = 997744 (P-1 stage 2)
B1 = 498872 (P-1 stage 1)
B1 = 453520 (P-1 stage 1)
B1 = 397784 (P-1 stage 1)
B1 = 55000, B2 = 907500 (P-1 stage 2)
B1 = 93270 (P-1 stage 1)
B1 = 74135 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 20000, B2 = 200000 (P-1 stage 2)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-18T13:53:54+00:00