is 2 2989409 - 1
has 899902 decimal digits
takes 0.254 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCE680D6ECB24E7B9double-checked
PRP66372FBC119A74ADverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.938767.6471%3000000900000000.95527.8877%20.893970.1990%2.5519%
PrimeNet2600.051463.3333%120002200000.00292.5135%0.054364.2549%0.9216%
GPU722641.190665.6250%130002000000.00291.3860%1.193566.1014%0.4764%
Difference+4+18.7480+2.0221%+2987000+89800000+0.9523+6.5018%+19.7004+4.0976%+4.0976%

Known prime factors (1 factor, 78.8 bits, 0.00263732% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29894095411207520832510306238712478.84090506309455021215
3 × 5 × 7 × 861964851952583
2021-02-25786196485195258333,0445,795,66010,824,679

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.247%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.146%
2010-10-22T20:31:00markrtiny1000002025000---0.025--2.495%
2016-06-22T02:55:59Jocelyn LaroucheManual testing19840040500006---0.050--3.296%
2017-07-10T01:11:32Jocelyn Larouchelow 4M39680039680006---0.073--3.598%
2019-11-09T08:22:59BigBrotherWinston30000009000000012---0.955--7.888%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.051--
1999-09-07T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-02-13T21:31:00Sturle Sundeothello.ifi260261--0.051--
2011-11-29T06:00:00Grant McCrackenhome261262--0.103--
2013-01-07T13:51:00dbaughManual testing262263--0.328--
2015-02-06T00:11:00lycornManual testing263264--0.657--
2015-02-06T00:12:00lycornManual testing264265--1.250--
2016-02-29T09:29:40ramgeisManual testing265266--2.500--
2017-12-07T01:23:26Gordon SpenceManual testing266267--4.999--
2018-12-28T09:55:51chuenkitManual testing267268--10.00--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.500 GHz-days
Estimated T-Level:2.800
DigitsB1CurvesCompleteFacMiss
201100056 / 1000.56056.960%
255000056 / 2800.20081.844%

New Calculation Method

Total ECM effort:6.500 GHz-days
Estimated T-Level:2.800
DigitsB1CompleteFacMiss
20110001.80616.424%
25500000.16384.937%
302500000.01099.000%


ECM Summary

B1B2factorcurvesGHz-days
500005000000526.035
50000500000040.464


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computersCE680D6ECB24E7B90.254
1999-09-07T00:00:00ANONYMOUSv4_computersCE680D6ECB24E7B90.254
2018-10-22T03:22:53kkmrkkblmbrbkoldCE680D6ECB24E7B90.254


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-26T05:05:11mrhw
541120752083251030623871
66372FBC119A74ADno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 396800, B2 = 3968000 (P-1 stage 2)
B1 = 198400, B2 = 4050000 (P-1 stage 2)
B1 = 396800 (P-1 stage 1)
B1 = 100000, B2 = 2025000 (P-1 stage 2)
B1 = 198400 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2021-02-26T05:05:11+00:00