is 2 3394487 - 1
has 1021843 decimal digits
takes 0.357 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-
PRP6CBC72F7CEB572A3verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26935.170868.1159%40000001500000001.82068.1448%36.991370.7128%2.5969%
PrimeNet2600.045263.3333%140002800000.00432.8464%0.049664.3770%1.0437%
GPU722641.048665.6250%180003200000.00521.7915%1.053866.2408%0.6158%
Difference+5+34.1222+2.4909%+3982000+149680000+1.8153+6.3533%+35.9375+4.4720%+4.4720%

Known prime factors (1 factor, 98.2 bits, 0.00289339% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33944873680375284354563441014050857433098.21654211067598057724790433
32 × 59 × 1567 × 8573 × 59557 × 127602389
2021-07-15595571276023893.403e+101.06731.9774

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-15T21:07:00Carsten Kossendeydurandal15000206250---0.004--0.693%
2011-10-24T00:50:00harleeP4_260060000945000---0.016--1.661%
2014-07-04T02:22:00Jocelyn LaroucheManual testing7890878908---0.012--0.652%
2014-10-13T22:29:00Jocelyn LaroucheManual testing9781697816---0.015--0.745%
2015-09-18T18:59:00Jocelyn LaroucheManual testing422183422183---0.064--1.605%
2015-11-21T13:57:56Jocelyn LaroucheManual testing532334532334---0.081--1.779%
2016-03-10T11:59:59Jocelyn LaroucheManual testing638800114984006---0.187--4.397%
2021-07-15T01:56:36mikrMSI4000000150000000123098.2161.8210.7133.6418.145%
2022-03-16T19:11:55Jocelyn LaroucheManual testing1000000127313550---1.200--6.988%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:27Mark RoseManual testing21260--0.045--
2009-03-25T05:54:00S485122USB-A260261--0.045--
2011-08-20T05:42:00Grant McCrackenthumper261262--0.090--
2012-11-15T00:22:00GrunwalderGIMPManual testing21263--0.470--
2016-02-23T16:29:27Mark RoseManual testing262263--0.289--
2015-02-18T11:36:00VictordeHollanderManual testing263264--0.578--
2015-02-18T11:36:00VictordeHollanderManual testing264265--1.101--
2015-04-04T13:44:00Gordon SpenceManual testing265266--2.201--
2017-03-12T14:28:49Gordon SpenceManual testing266267--4.403--
2018-09-10T13:18:22TJAOIManual testing267268--8.806--
2021-06-21T08:52:57TJAOIManual testing268269--17.61--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.301 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:6.301 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.38724.980%
25500000.12588.218%
302500000.00899.231%


ECM Summary

B1B2factorcurvesGHz-days
500005000000436.301


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-14T00:00:00ANONYMOUSv4_computersF0D1D3C773D22A__0.357


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-15T08:41:29SRJ2877LTOS
368037528435456344101405085743
6CBC72F7CEB572A3no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 127313550 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 638800, B2 = 11498400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 638800 (P-1 stage 1)
B1 = 532334 (P-1 stage 1)
B1 = 422183 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 97816 (P-1 stage 1)
B1 = 78908 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-03-16T19:11:55+00:00