is 2 3312347 - 1
has 997116 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-
PRP09563378640613C4verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.994867.6471%40000001500000001.82068.7895%19.815370.4907%2.8437%
PrimeNet2600.046463.3333%140002600000.00422.7803%0.050564.3528%1.0194%
GPU722641.074665.6250%170003000000.00491.7234%1.079566.2174%0.5924%
Difference+4+16.9202+2.0221%+3983000+149700000+1.8156+7.0661%+18.7358+4.2733%+4.2733%

Known prime factors (1 factor, 74.0 bits, 0.00223273% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3312347183192578488334370499192373.9562765298721545997
72 × 13 × 457 × 9499186633
2021-06-024579499186633657.1278.817147.21

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T07:18:00Carsten Kossendeydurandal15000195000---0.004--0.793%
2011-10-02T22:25:00harleeP4_260055000880000---0.015--1.810%
2012-11-18T06:47:00Squeeky_SquirrelP4_26001800003285000---0.053--3.142%
2017-05-31T03:36:31Jocelyn Larouchelow 4M36000036000006---0.082--3.525%
2020-03-10T16:11:17mikrMSI400000015000000012---1.821--8.790%
2022-04-09T09:23:58Jocelyn LaroucheManual testing10000001000000---0.152--2.562%
2022-04-10T15:21:14Jocelyn LaroucheManual testing1000000138424650---1.293--7.691%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-07-07T00:00:00ANONYMOUSv4_computers21260--0.046--
2009-03-30T15:07:00S485122USB-Z260261--0.046--
2011-09-16T20:08:00Grant McCrackenthumper261262--0.093--
2011-10-17T22:05:00Aaron HavilandManual testing262263--0.296--
2011-10-17T22:05:00Aaron HavilandManual testing263264--0.593--
2011-10-17T22:05:00Aaron HavilandManual testing264265--1.128--
2016-03-01T09:33:55ramgeisManual testing265266--2.256--
2017-02-24T15:45:26Gordon SpenceManual testing266267--4.512--
2018-12-03T19:08:40TJAOIManual testing267268--9.024--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.111 GHz-days
Estimated T-Level:2.100
DigitsB1CurvesCompleteFacMiss
201100042 / 1000.42065.566%
255000042 / 2800.15086.048%

New Calculation Method

Total ECM effort:6.111 GHz-days
Estimated T-Level:2.100
DigitsB1CompleteFacMiss
20110001.61519.881%
25500000.14986.136%
302500000.00999.063%


ECM Summary

B1B2factorcurvesGHz-days
50000480000060.860
500005000000365.251


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computers98A62AB51DC38D__0.348


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-04T03:13:06kutensvega
18319257848833437049919
09563378640613C4no


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: 2022-04-10T15:21:14+00:00