is 2 2645341 - 1
has 796327 decimal digits
takes 0.204 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB7392ED153FD021Fdouble-checked
PRP7ACF4B529D72DFBFverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.532067.6471%2000000500000000.51696.8567%23.048969.8654%2.2183%
PrimeNet2590.029062.7119%110002000000.00242.7035%0.031463.7199%1.0081%
GPU722630.603365.0794%130002000000.00261.5742%0.605965.6291%0.5497%
Difference+5+21.9287+2.5677%+1987000+49800000+0.5143+5.2825%+22.4430+4.2363%+4.2363%

Known prime factors (1 factor, 110.7 bits, 0.00418596% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2645341215738498640234586511499248177686334110.733407770678034012602744786491
3 × 7 × 467 × 5261 × 221477303 × 35684719711
2021-04-04221477303356847197115.857e+10241.19406.67

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.239%
2009-06-22T05:28:00harleeP4_260030000420000---0.006--1.206%
2011-01-19T13:20:00James Heinrichi7-9201800004275000---0.045--3.228%
2016-12-28T03:20:11Jocelyn Larouchelow 4M171988171988---0.019--1.126%
2016-12-29T21:56:28Jocelyn Larouchelow 4M206385206385---0.023--1.238%
2017-05-08T05:55:48Jocelyn Larouchelow 4M36000036000006---0.060--3.422%
2019-11-28T06:13:08masserManual testing20000005000000012---0.517--6.857%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-29T00:00:00ANONYMOUSv4_computers21258--0.015--
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:18Mark RoseManual testing259260--0.029--
2009-01-27T02:42:00Sturle Sundeginjtje.ifi260261--0.058--
2012-06-07T04:49:00Grant McCrackenthumper261262--0.116--
2013-01-14T11:57:00dbaughManual testing262263--0.371--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.742--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.412--
2016-01-21T23:03:49ramgeisManual testing265266--2.825--
2017-09-08T08:21:16Gordon SpenceManual testing266267--5.650--
2019-02-25T14:14:30TJAOIManual testing267268--11.30--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.396 GHz-days
Estimated T-Level:4.550
DigitsB1CurvesCompleteFacMiss
201100091 / 1000.91040.068%
255000091 / 2800.32572.211%

New Calculation Method

Total ECM effort:9.396 GHz-days
Estimated T-Level:4.550
DigitsB1CompleteFacMiss
20110002.9355.311%
25500000.26576.697%
302500000.01698.380%


ECM Summary

B1B2factorcurvesGHz-days
500005000000909.292
50000500000010.103


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-29T00:00:00ANONYMOUSv4_computersB7392ED153FD021F0.204
1999-06-06T00:00:00ANONYMOUSv4_computersB7392ED153FD021F0.204
2018-07-14T04:12:52kkmrkkblmbrbkoldB7392ED153FD021F0.204


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-05T09:31:51XZTN4640G1
2157384986402345865114992481776863
7ACF4B529D72DFBFno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 180000, B2 = 4275000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 206385 (P-1 stage 1)
B1 = 180000 (P-1 stage 1)
B1 = 171988 (P-1 stage 1)
B1 = 30000, B2 = 420000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
109
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
258
250
260
270
280
290
2100
2110
2120
Last modified: 2021-04-05T09:31:51+00:00