is 2 2667433 - 1
has 802978 decimal digits
takes 0.206 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCC37978D7C708FF5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.139567.1642%2000000600000000.57797.6981%11.717469.6919%2.5277%
PrimeNet2590.028862.7119%110002000000.00242.7076%0.031263.7215%1.0096%
GPU722630.598365.0794%130002200000.00271.6208%0.601165.6454%0.5660%
Difference+4+10.5412+2.0848%+1987000+59780000+0.5752+6.0773%+11.1163+4.0465%+4.0465%

Known prime factors (1 factor, 78.0 bits, 0.00292422% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26674333025934156249604948522492478.00256719965529586028
22 × 3 × 17 × 113 × 127 × 2131 × 9091597
2018-05-262131909159739,2830.05570.1036

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.296%
2003-11-28T00:00:00Team Prime Ribv4_computers15000213750---0.003--0.913%
2010-11-19T22:14:00Jocelyn LaroucheManual testing2000020000---0.002--0.319%
2010-12-10T06:56:00markrtiny1050002283750---0.025--2.864%
2014-11-06T23:05:00Jocelyn LaroucheManual testing129062129062---0.014--1.106%
2016-06-08T15:09:03Jocelyn LaroucheManual testing15196845675006---0.044--3.556%
2016-12-18T19:43:07Jocelyn Larouchelow 4M182361182361---0.020--1.326%
2017-01-10T10:25:00Jocelyn Larouchelow 4M218833218833---0.025--1.452%
2017-03-07T20:00:32Jocelyn Larouchelow 4M31511831511806---0.053--3.630%
2019-07-04T12:48:10alpertronManual testing20000006000000012-
skipped known factor: 302593415624960494852249
--0.578--7.698%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:18Mark RoseManual testing21260--0.058--
2009-01-31T01:32:00Sturle Sundeghirardelli.ifi260261--0.058--
2012-05-18T19:18:00markroldgamer261262--0.115--
2013-01-14T11:57:00dbaughManual testing262263--0.368--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.736--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.401--
2016-01-25T14:29:35ramgeisManual testing265266--2.801--
2017-09-08T08:21:19Gordon SpenceManual testing266267--5.603--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.998 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:2.998 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110000.93539.240%
25500000.08591.893%
302500000.00599.481%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.791
50000500000020.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00kraDenv4_computersCC37978D7C708FF50.206


PRP results:
dateuseridcompidcofactorsres64PRP
2018-05-28T02:09:41ANONYMOUSdory
302593415624960494852249
94E82090A6EE26__no
2018-05-28T03:17:53Oliver KruseGTX-0
302593415624960494852249
94E82090A6EE26__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 315118, B2 = 3151180 (P-1 stage 2)
B1 = 151968, B2 = 4567500 (P-1 stage 2)
B1 = 315118 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 218833 (P-1 stage 1)
B1 = 182361 (P-1 stage 1)
B1 = 151968 (P-1 stage 1)
B1 = 129062 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 213750 (P-1 stage 2)
B1 = 20000 (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
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105
106
107
102
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108
TF factor-bounds graph:
267
266
265
264
263
262
261
260
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260
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2100
Last modified: 2019-07-04T12:48:10+00:00