is 2 3334679 - 1
has 1003839 decimal digits
takes 0.350 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5C41424F24407800double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.874267.6471%10000001343160001.25847.6634%19.132770.1264%2.4793%
PrimeNet2600.046163.3333%140002600000.00422.7836%0.050264.3540%1.0207%
GPU722641.067465.6250%180003000000.00511.7539%1.072466.2279%0.6029%
Difference+4+16.8069+2.0221%+982000+134016000+1.2534+5.9095%+18.0602+3.8985%+3.8985%

Known prime factors (1 factor, 86.4 bits, 0.00259051% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33346791010511386704363300295925912786.38515151554118167945105
3 × 5 × 225373 × 1942151 × 2307709
2020-06-13194215123077095,416,6820.29880.6019

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T06:45:00Carsten Kossendeydurandal15000202500---0.004--0.804%
2011-10-06T21:44:00harleeP4_260055000880000---0.015--1.812%
2012-11-26T04:53:00Squeeky_SquirrelP4_26002100004672500---0.069--3.481%
2018-08-07T17:09:38Jocelyn Larouchelow 4M420000840000---0.067--2.365%
2018-08-15T10:51:08Jocelyn Larouchelow 4M4200002940000---0.085--3.415%
2018-08-16T10:37:56Jocelyn Larouchelow 4M4200003360000---0.088--3.530%
2020-06-14T01:49:59mikrMSI400000040000002786.3850.6090.7001.2184.093%
2022-03-24T08:46:59Jocelyn LaroucheManual testing1000000134316000---1.258--7.663%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-29T07:59:00S485122USB-A260261--0.046--
2011-08-29T21:18:00markrManual testing21262--0.184--
2012-08-25T21:54:00GrunwalderGIMPManual testing21263--0.479--
2016-02-23T16:29:26Mark RoseManual testing262263--0.294--
2015-02-11T09:06:00VictordeHollanderManual testing263264--0.589--
2015-02-11T09:06:00VictordeHollanderManual testing264265--1.120--
2016-03-02T14:55:21ramgeisManual testing265266--2.241--
2017-03-02T18:04:36Gordon SpenceManual testing266267--4.482--
2018-11-12T14:47:33TJAOIManual testing267268--8.964--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.191 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:2.191 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30T00:00:00ANONYMOUSv4_computers5C41424F244078000.350


PRP results:
dateuseridcompidcofactorsres64PRP
2020-06-14T03:40:31mikrMSI
101051138670436330029592591
851F4212AB32B08Eno
2020-06-15T04:42:05Oliver KruseThreadripper-PC
101051138670436330029592591
851F4212AB32B08Eno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 134316000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 420000, B2 = 3360000 (P-1 stage 2)
B1 = 420000, B2 = 2940000 (P-1 stage 2)
B1 = 210000, B2 = 4672500 (P-1 stage 2)
B1 = 420000, B2 = 840000 (P-1 stage 2)
B1 = 420000 (P-1 stage 1)
B1 = 210000 (P-1 stage 1)
B1 = 55000, B2 = 880000 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 202500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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109
TF factor-bounds graph:
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266
265
264
263
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261
250
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2100
Last modified: 2022-03-24T08:46:59+00:00