is 2 3339521 - 1
has 1005296 decimal digits
takes 0.351 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L70E9A88AFCEB54FCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.848367.6471%40000001500000001.82068.7963%19.668970.4929%2.8459%
PrimeNet2600.046063.3333%140002600000.00422.7843%0.050264.3543%1.0209%
GPU722641.065865.6250%180003000000.00511.7544%1.070966.2281%0.6031%
Difference+4+16.7825+2.0221%+3982000+149700000+1.8155+7.0419%+18.5980+4.2649%+4.2649%

Known prime factors (1 factor, 93.6 bits, 0.00280169% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3339521146305711717771055373857533192993.5632190519414577286014579
7 × 23 × 277 × 40699 × 110039 × 10967587
2020-07-1111003910967587907,374,9420.10680.1700

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T14:07:00Carsten Kossendeydurandal15000206250---0.004--0.809%
2011-10-08T03:59:00harleeP4_260055000893750---0.015--1.820%
2012-12-01T00:58:00Squeeky_SquirrelP4_26002300006612500---0.088--3.796%
2020-07-11T18:08:23mikrMSI4000000150000000122993.5631.8210.7013.6418.796%
2022-04-08T06:40:59Jocelyn LaroucheManual testing1000000115661700-
skipped known factor: 14630571171777105537385753319
--1.104--7.502%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-29T11:32:00S485122USB-A260261--0.046--
2011-08-23T20:26:00markrManual testing21262--0.184--
2012-08-25T21:55:00GrunwalderGIMPManual testing21263--0.478--
2016-02-23T16:29:26Mark RoseManual testing262263--0.294--
2015-02-11T09:06:00VictordeHollanderManual testing263264--0.588--
2015-02-11T09:06:00VictordeHollanderManual testing264265--1.119--
2016-03-02T17:18:07ramgeisManual testing265266--2.238--
2017-03-02T18:04:37Gordon SpenceManual testing266267--4.475--
2018-11-05T15:44:30TJAOIManual testing267268--8.951--


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)
2000-01-19T00:00:00ANONYMOUSv4_computers70E9A88AFCEB54FC0.351


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-15T05:20:22Klaus Nordmannno1
14630571171777105537385753319
4AFBEA73A9D9E1E7no
2020-07-16T05:12:53pewlaptop
14630571171777105537385753319
4AFBEA73A9D9E1E7no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 115661700 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 230000, B2 = 6612500 (P-1 stage 2)
B1 = 230000 (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
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2022-04-08T06:40:59+00:00