is 2 2674039 - 1
has 804966 decimal digits
takes 0.207 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1BC1B06B2AA46882double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.290267.6471%62996625198640.08213.3015%22.372368.7152%1.0681%
PrimeNet2590.028762.7119%110002000000.00242.7088%0.031163.7219%1.0101%
GPU722630.596965.0794%130002200000.00271.6216%0.599665.6456%0.5663%
Difference+5+21.6933+2.5677%+616966+2299864+0.0794+1.6799%+21.7727+3.0695%+3.0695%

Known prime factors (1 factor, 71.2 bits, 0.00266309% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
267403927349072746004896113692271.212511381336360556
22 × 59357 × 2153837527
2019-07-30593572153837527329.6113.14824.546

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.240%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.785%
2010-11-19T22:14:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-07T21:42:00markrtiny1050002283750---0.025--2.548%
2016-06-12T23:59:48Jocelyn LaroucheManual testing15190345675006---0.044--3.185%
2016-12-18T19:43:05Jocelyn Larouchelow 4M182283182283---0.020--1.163%
2016-12-29T21:56:35Jocelyn Larouchelow 4M218739218739---0.024--1.277%
2017-03-04T18:15:44Jocelyn Larouchelow 4M31498331498306---0.053--3.267%
2018-08-29T01:29:34Jocelyn Larouchelow 4M629966629966---0.071--2.071%
2018-08-30T21:10:17Jocelyn Larouchelow 4M6299661259932---0.074--2.681%
2018-09-03T21:22:16Jocelyn Larouchelow 4M6299661889898---0.078--3.043%
2018-09-04T10:43:03Jocelyn Larouchelow 4M6299662519864---0.082--3.301%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-04-13T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:19Mark RoseManual testing259260--0.029--
2009-01-27T02:50:00Sturle Sundeantonov.ifi260261--0.057--
2012-05-20T12:09:00Grant McCrackenthumper261262--0.115--
2013-01-14T11:57:00dbaughManual testing262263--0.367--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.734--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.397--
2016-01-25T14:29:38ramgeisManual testing265266--2.795--
2017-09-10T15:01:54Gordon SpenceManual testing266267--5.589--
2019-04-22T13:11:28TJAOIManual testing267268--11.18--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.413 GHz-days
Estimated T-Level:1.650
DigitsB1CurvesCompleteFacMiss
201100033 / 1000.33071.773%
255000033 / 2800.11888.864%

New Calculation Method

Total ECM effort:3.413 GHz-days
Estimated T-Level:1.650
DigitsB1CompleteFacMiss
20110001.06534.489%
25500000.09690.827%
302500000.00699.409%


ECM Summary

B1B2factorcurvesGHz-days
500005000000303.103
50000500000030.310


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers1BC1B06B2AA468820.207
2018-07-24T23:13:03kkmrkkblmbrbkold1BC1B06B2AA468820.207


PRP results:
dateuseridcompidcofactorsres64PRP
2019-07-31T01:59:09Niels_Mache_NextcloudSuperDry-X
2734907274600489611369
14FEF2B97FF9A540no
2019-08-01T01:48:34kkmrkkblmbrbkc5.large
2734907274600489611369
14FEF2B97FF9A540no


P-1 factor-bounds graph:
B1 = 629966, B2 = 2519864 (P-1 stage 2)
B1 = 629966, B2 = 1889898 (P-1 stage 2)
B1 = 629966, B2 = 1259932 (P-1 stage 2)
B1 = 629966 (P-1 stage 1)
B1 = 314983, B2 = 3149830 (P-1 stage 2)
B1 = 151903, B2 = 4567500 (P-1 stage 2)
B1 = 314983 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 218739 (P-1 stage 1)
B1 = 182283 (P-1 stage 1)
B1 = 151903 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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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104
105
106
102
103
104
105
106
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109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
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260
270
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2100
Last modified: 2019-08-01T01:48:34+00:00