is 2 3317693 - 1
has 998726 decimal digits
takes 0.348 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-
PRP5714A4FCD485F332verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.965867.6471%40000001500000001.82068.7908%19.786370.4912%2.8441%
PrimeNet2600.046363.3333%140002600000.00422.7811%0.050564.3531%1.0197%
GPU722641.072865.6250%170003000000.00491.7239%1.077866.2176%0.5926%
Difference+4+16.8929+2.0221%+3983000+149700000+1.8156+7.0669%+18.7085+4.2736%+4.2736%

Known prime factors (1 factor, 96.4 bits, 0.00290571% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33176931047371602214279774730527699113096.40315784637129087588494935
3 × 5 × 177437159 × 5930601841631
2021-01-3117743715959306018416318.999e+949,23391,906

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-14T05:04:00Carsten Kossendeydurandal15000195000---0.004--0.793%
2011-10-04T10:42:00harleeP4_260055000880000---0.015--1.811%
2012-11-20T15:59:00Squeeky_SquirrelP4_26001800003285000---0.053--3.143%
2017-06-10T03:56:30Jocelyn Larouchelow 4M36000036000006---0.082--3.526%
2020-04-13T13:06:58mikrMSI400000015000000012---1.821--8.791%
2022-04-09T09:24:03Jocelyn LaroucheManual testing10000001000000---0.152--2.563%
2022-04-10T15:21:16Jocelyn LaroucheManual testing1000000138424650---1.293--7.692%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-07-07T00:00:00ANONYMOUSv4_computers21260--0.046--
2009-03-31T05:08:00S485122USB-Z260261--0.046--
2011-09-13T02:41:00Grant McCrackenthumper261262--0.093--
2011-10-19T08:40:00Aaron HavilandManual testing262263--0.296--
2011-10-19T08:40:00Aaron HavilandManual testing263264--0.592--
2011-10-19T08:40:00Aaron HavilandManual testing264265--1.126--
2016-03-02T09:22:02ramgeisManual testing265266--2.252--
2017-02-26T04:48:41Gordon SpenceManual testing266267--4.505--
2018-11-26T14:19:33TJAOIManual testing267268--9.010--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.918 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:2.918 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.76946.337%
25500000.07193.130%
302500000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.189
50000500000050.730


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computers43C602E0B952C4__0.348


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-31T14:33:31ViliamF3
104737160221427977473052769911
5714A4FCD485F332no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 138424650 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 180000, B2 = 3285000 (P-1 stage 2)
B1 = 180000 (P-1 stage 1)
B1 = 55000, B2 = 880000 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 195000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T15:21:16+00:00