is 2 2736397 - 1
has 823738 decimal digits
takes 0.211 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6E4549D9B0A7B577double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.858867.1642%30000080000000.08064.4267%10.939468.6177%1.4535%
PrimeNet2590.028162.7119%120002200000.00262.8499%0.030763.7745%1.0627%
GPU722630.583365.0794%140002400000.00291.7074%0.586265.6756%0.5962%
Difference+4+10.2755+2.0848%+286000+7760000+0.0776+2.7193%+10.3532+2.9421%+2.9421%

Known prime factors (1 factor, 82.3 bits, 0.00300619% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
273639757955131992308926547235592582.2611058967905466731007
3 × 11 × 23 × 6560941 × 212654653
2017-07-206560941212654653457,6521.99232.4235

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.298%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.933%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.321%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.439%
2011-01-20T22:46:00Jocelyn LaroucheManual testing5000050000---0.006--0.629%
2011-03-04T22:40:00James Heinrichi7-9203000008000000---0.081--4.427%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:20Mark RoseManual testing21260--0.056--
2009-01-27T02:53:00Sturle Sundepapageno.ifi260261--0.056--
2012-04-16T11:35:00Grant McCrackenthumper261262--0.112--
2013-01-14T12:27:00dbaughManual testing262263--0.359--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.717--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.365--
2016-02-02T09:38:43ramgeisManual testing265266--2.731--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.284 GHz-days
Estimated T-Level:1.100
DigitsB1CurvesCompleteFacMiss
201100022 / 1000.22080.163%
255000022 / 2800.07992.431%

New Calculation Method

Total ECM effort:2.284 GHz-days
Estimated T-Level:1.100
DigitsB1CompleteFacMiss
20110000.71049.180%
25500000.06493.787%
302500000.00499.606%


ECM Summary

B1B2factorcurvesGHz-days
500005000000212.180
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00foxkidv4_computers6E4549D9B0A7B5770.211


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:09:45alpertronManual testing
5795513199230892654723559
C2E1A69BE8344F__no
2017-11-15T12:47:11Oliver KruseThreadripper
5795513199230892654723559
C2E1A69BE8344F__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 = 225000 (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
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2017-11-15T12:47:11+00:00