is 2 3167081 - 1
has 953387 decimal digits
takes 0.270 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE6A1CC4D616972ECdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.696268.1159%10667081199121000.93076.9257%38.626970.3241%2.2082%
PrimeNet2600.048563.3333%130002400000.00312.6525%0.051664.3059%0.9726%
GPU722641.123965.6250%150002600000.00351.5816%1.127366.1687%0.5437%
Difference+5+36.5723+2.4909%+1051708+119652100+0.9272+5.3441%+37.4995+4.1554%+4.1554%

Known prime factors (1 factor, 74.6 bits, 0.00235687% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3167081295190069214324053719612374.6444660286068059580
22 × 5 × 7 × 17 × 10141 × 193087801
2014-03-17101411930878011,720.51.29952.4248

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.203%
2009-07-03T00:45:00Carsten Kossendeyleela15000191250---0.003--0.666%
2011-09-03T16:10:00harleeP4_26001050002178750---0.027--2.296%
2021-01-05T11:55:16Jocelyn LaroucheManual testing316708316708---0.039--1.388%
2021-01-06T11:50:21Jocelyn LaroucheManual testing31670831670816---0.058--3.010%
2022-01-24T00:01:45Jocelyn LaroucheManual testing1066708119912100---0.931--6.926%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-30T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-10T19:14:00S485122USB-Z260261--0.048--
2011-10-31T19:41:00markrManual testing21262--0.194--
2013-01-03T08:45:00dbaughManual testing262263--0.310--
2021-01-04T08:51:42Jocelyn LaroucheManual testing263264--0.620--
2021-01-12T16:49:55Jocelyn LaroucheManual testing264265--1.180--
2022-03-28T11:04:46Jocelyn LaroucheManual testing265266--2.360--
2022-03-28T11:04:46Jocelyn LaroucheManual testing266267--4.719--
2021-07-05T02:16:19Jocelyn LaroucheManual testing267268--9.438--
2021-12-11T14:37:17Jocelyn LaroucheManual testing268269--18.88--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.703 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:0.703 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.19482.403%
25500000.01798.266%
302500000.00199.892%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000060.703


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computersE6A1CC4D616972EC0.270


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-01T00:10:41Oliver KruseGTX-3
29519006921432405371961
4FA901A6C2F3C4__no
2017-12-12T18:49:34kkmrkkblmbrbkc4.xlarge
29519006921432405371961
4FA901A6C2F3C4__no


P-1 factor-bounds graph:
B1 = 1066708, B2 = 119912100 (P-1 stage 2)
B1 = 1066708 (P-1 stage 1)
B1 = 316708, B2 = 3167081 (P-1 stage 2)
B1 = 316708 (P-1 stage 1)
B1 = 105000, B2 = 2178750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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109
TF factor-bounds graph:
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267
266
265
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2100
Last modified: 2022-03-28T11:04:46+00:00