is 2 2710679 - 1
has 815996 decimal digits
takes 0.209 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L28512C19B3D57707double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.961867.1642%30000080000000.08064.4214%11.042468.6160%1.4518%
PrimeNet2590.028362.7119%120002200000.00262.8451%0.030963.7727%1.0609%
GPU722630.588865.0794%140002200000.00281.6625%0.591665.6599%0.5806%
Difference+4+10.3730+2.0848%+286000+7780000+0.0778+2.7588%+10.4508+2.9560%+2.9560%

Known prime factors (1 factor, 86.5 bits, 0.00318965% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27106791065194995307753481688051132786.46119648121288204052964
22 × 587 × 1205459 × 6941774377
2017-11-291205459694177437711,192,35542.48479.110

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.298%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.921%
2010-12-19T21:41:00Jocelyn LaroucheManual testing2000020000---0.002--0.320%
2010-12-26T20:13:00Jocelyn LaroucheManual testing3000030000---0.003--0.438%
2011-01-18T00:06:00Jocelyn LaroucheManual testing5000050000---0.006--0.627%
2011-04-04T14:30:00James HeinrichWHS3000008000000---0.081--4.421%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-16T00:00:00ANONYMOUSv4_computers21259--0.028--
2016-02-23T16:29:19Mark RoseManual testing259260--0.028--
2009-01-26T23:16:00Sturle Sundebruckner.ifi260261--0.057--
2012-04-25T01:15:00Grant McCrackenthumper261262--0.113--
2013-01-10T10:18:00dbaughManual testing262263--0.362--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.724--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.378--
2016-01-30T15:58:41ramgeisManual testing265266--2.757--
2017-09-29T00:40:44Gordon SpenceManual testing266267--5.514--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.591 GHz-days
Estimated T-Level:1.250
DigitsB1CurvesCompleteFacMiss
201100025 / 1000.25077.782%
255000025 / 2800.08991.444%

New Calculation Method

Total ECM effort:2.591 GHz-days
Estimated T-Level:1.250
DigitsB1CompleteFacMiss
20110000.80644.644%
25500000.07392.971%
302500000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.487
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-16T00:00:00ANONYMOUSv4_computers28512C19B3D577070.209
1999-04-13T00:00:00ANONYMOUSv4_computers28512C19B3D577070.209


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-29T23:59:12Gordon Spencehaswell
106519499530775348168805113
AD2692A15B9447__no
2017-11-30T18:51:22Oliver KruseGTX-3
106519499530775348168805113
AD2692A15B9447__no


P-1 factor-bounds graph:
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (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
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2017-11-30T18:51:22+00:00