is 2 3335263 - 1
has 1004015 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-LC08DBDFB3A4BDA61double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.871167.6471%10000001343160001.25847.6636%19.129670.1264%2.4794%
PrimeNet2600.046163.3333%140002600000.00422.7837%0.050264.3540%1.0207%
GPU722641.067265.6250%180003000000.00511.7539%1.072366.2279%0.6029%
Difference+4+16.8039+2.0221%+982000+134016000+1.2534+5.9096%+18.0573+3.8985%+3.8985%

Known prime factors (1 factor, 96.3 bits, 0.00288859% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33352631004206262735488681884429112573096.34215054378961051777354356
22 × 3 × 19 × 271 × 192961 × 734659 × 1718713
2020-06-1773465917187137.661e+90.12000.2277

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T06:45:00Carsten Kossendeydurandal15000206250---0.004--0.808%
2011-10-07T02:29:00harleeP4_260055000893750---0.015--1.820%
2012-11-26T23:34:00Squeeky_SquirrelP4_26002100004672500---0.069--3.481%
2018-08-15T10:51:08Jocelyn Larouchelow 4M4200002100000---0.078--3.130%
2018-08-16T23:24:54Jocelyn Larouchelow 4M4200002940000---0.085--3.415%
2018-08-17T20:35:22Jocelyn Larouchelow 4M4200003780000---0.092--3.631%
2018-08-18T12:00:12Jocelyn Larouchelow 4M4200004200000---0.095--3.722%
2020-06-17T22:04:30mikrMSI400000040000003096.3420.6090.7011.2184.093%
2022-03-19T20:23:39Jocelyn LaroucheManual testing1000000134316000-
skipped known factor: 100420626273548868188442911257
--1.258--7.664%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-28T19:38:00S485122USB-Z260261--0.046--
2011-08-28T20:41:00markrManual 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--
2016-03-02T14:55:22ramgeisManual testing265266--2.241--
2017-03-02T18:04:36Gordon SpenceManual testing266267--4.481--
2018-11-12T14:47:33TJAOIManual testing267268--8.962--


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)
1999-09-30T00:00:00carlo_baffav4_computersC08DBDFB3A4BDA610.350


PRP results:
dateuseridcompidcofactorsres64PRP
2020-06-19T16:08:03mnd975211backdoor
100420626273548868188442911257
3742BE6DA0129EB4no
2020-06-20T08:13:01fre_gamesgpu
100420626273548868188442911257
3742BE6DA0129EB4no


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 = 4200000 (P-1 stage 2)
B1 = 420000, B2 = 3780000 (P-1 stage 2)
B1 = 420000, B2 = 2940000 (P-1 stage 2)
B1 = 420000, B2 = 2100000 (P-1 stage 2)
B1 = 210000, B2 = 4672500 (P-1 stage 2)
B1 = 420000 (P-1 stage 1)
B1 = 210000 (P-1 stage 1)
B1 = 55000, B2 = 893750 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
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106
107
103
104
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2022-03-19T20:23:39+00:00