is 2 2269829 - 1
has 683287 decimal digits
takes 0.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFA1CD414E634638Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.259667.6471%3000000900000000.73797.6745%26.997570.1300%2.4829%
PrimeNet2580.016962.0690%100001900000.00192.9209%0.018863.1769%1.1079%
GPU722620.270764.5161%120001900000.00211.7077%0.272765.1221%0.6060%
Difference+6+25.9890+3.1309%+2988000+89810000+0.7358+5.9668%+26.7248+5.0079%+5.0079%

Known prime factors (1 factor, 87.4 bits, 0.00385087% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22698292053511737132675352455744332787.40845234943626429025104
24 × 3 × 19 × 14407 × 3442751363131
2020-11-2014407344275136313121,232,81617,88333,400

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.228%
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-12T22:13:00Jocelyn LaroucheManual testing3000030000---0.003--0.357%
2011-01-02T22:21:00markrtiny1000002100000---0.020--2.413%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128277128277---0.012--0.933%
2016-04-02T11:41:48Jocelyn LaroucheManual testing311040311040---0.030--1.477%
2016-04-02T11:41:51Jocelyn LaroucheManual testing37324837324806---0.053--3.397%
2016-04-12T21:54:03Jocelyn LaroucheManual testing4478971624427712---0.125--4.726%
2019-11-21T10:03:54BigBrotherWinston30000009000000012---0.738--7.674%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-14T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:10Mark RoseManual testing258260--0.051--
2009-01-14T17:02:00Sturle Sundegideon.ifi260261--0.068--
2012-05-06T09:48:00Sebastian HornbostelManual testing261262--0.135--
2013-12-06T02:46:00Jerry HallettManual testing262263--0.432--
2015-03-10T10:45:00VictordeHollanderManual testing263264--0.865--
2015-03-10T10:45:00VictordeHollanderManual testing264265--1.646--
2015-10-31T16:44:10ramgeisManual testing265266--3.292--
2017-01-16T00:47:37Gordon SpenceManual testing266267--6.584--
2019-04-29T13:20:31TJAOIManual testing267268--13.17--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.316 GHz-days
Estimated T-Level:22.143
DigitsB1CurvesCompleteFacMiss
2011000120 / 1001.20029.938%
2550000120 / 2800.42965.094%

New Calculation Method

Total ECM effort:10.316 GHz-days
Estimated T-Level:22.143
DigitsB1CompleteFacMiss
20110003.8712.084%
25500000.35070.479%
302500000.02297.869%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001149.80
50000500000060.516


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computersFA1CD414E634638F0.149
2018-04-25T22:09:40kkmrkkblmbrbkoldFA1CD414E634638F0.149


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-21T02:36:36mrhlanai
205351173713267535245574433
CDA56F0E1A74E17Bno
2020-11-21T19:13:04kutensrigel
205351173713267535245574433
CDA56F0E1A74E17Bno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 447897, B2 = 16244277 (P-1 stage 2)
B1 = 373248, B2 = 3732480 (P-1 stage 2)
B1 = 447897 (P-1 stage 1)
B1 = 373248 (P-1 stage 1)
B1 = 311040 (P-1 stage 1)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 128277 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-11-21T19:13:04+00:00