is 2 3218041 - 1
has 968727 decimal digits
takes 0.274 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP0BB73737993762__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.099268.1159%3000000900000000.95527.3216%38.054470.4504%2.3344%
PrimeNet2600.047763.3333%130002400000.00312.6602%0.050964.3087%0.9754%
GPU722641.106165.6250%160002600000.00361.6174%1.109766.1810%0.5560%
Difference+5+35.9932+2.4909%+2984000+89740000+0.9516+5.7042%+36.9447+4.2694%+4.2694%

Known prime factors (1 factor, 78.8 bits, 0.00244819% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32180415203279284206545674716472478.78480845447342133703
3 × 108655193 × 248018357
2021-01-2410865519324801835726,94114.34627.290

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:42:00Carsten Kossendeyleela15000191250---0.003--0.669%
2011-09-24T23:02:00harleeP4_2600600001035000---0.014--1.686%
2014-06-03T02:15:00Jocelyn LaroucheManual testing7994579945---0.010--0.651%
2014-09-29T22:05:00Jocelyn LaroucheManual testing9989099890---0.012--0.747%
2015-12-13T22:58:26Squeeky_SquirrelP4_260015500039525006---0.045--2.844%
2016-05-13T03:13:59Jocelyn LaroucheManual testing35143463258126---0.084--3.583%
2020-01-13T12:48:59BigBrotherWinston30000009000000012---0.955--7.322%
2022-03-11T21:35:39Jocelyn LaroucheManual testing1000000134343300---1.020--7.002%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-07T05:40:00S485122USB-Z260261--0.048--
2011-10-20T05:27:00markrManual testing21262--0.191--
2013-01-03T08:47:00dbaughManual testing262263--0.305--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.610--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.161--
2015-06-24T21:57:00ThaManual testing265266--2.322--
2017-03-17T19:55:21Gordon SpenceManual testing266267--4.644--
2019-01-07T14:44:16TJAOIManual testing267268--9.289--
2021-01-28T21:25:06ViliamFManual testing268269--18.58--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.175 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:3.175 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110001.03835.400%
25500000.09690.839%
302500000.00699.396%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.587
50000500000050.588


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-07T00:00:00ANONYMOUSv4_computersA756190DCF4888__0.274


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-24T22:48:14ViliamF3
520327928420654567471647
0BB73737993762__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 351434, B2 = 6325812 (P-1 stage 2)
B1 = 155000, B2 = 3952500 (P-1 stage 2)
B1 = 351434 (P-1 stage 1)
B1 = 155000 (P-1 stage 1)
B1 = 60000, B2 = 1035000 (P-1 stage 2)
B1 = 99890 (P-1 stage 1)
B1 = 79945 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
108
109
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: 2022-03-11T21:35:39+00:00