is 2 2719043 - 1
has 818514 decimal digits
takes 0.210 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4D3E77055A9DD687double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.928167.1642%2700000840000000.79848.3197%11.726569.8960%2.7319%
PrimeNet2590.028262.7119%120002200000.00262.8466%0.030963.7733%1.0615%
GPU722630.587065.0794%140002200000.00281.6635%0.589865.6603%0.5809%
Difference+4+10.3411+2.0848%+2686000+83780000+0.7956+6.6562%+11.1367+4.2357%+4.2357%

Known prime factors (1 factor, 100.2 bits, 0.00368468% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2719043144415705437619746668969674412931100.188265563482147247665206048
25 × 31 × 1877 × 157259 × 200323 × 4527371
2016-10-0520032345273716.606e+100.04880.0516

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--0.922%
2010-12-19T21:41:00Jocelyn LaroucheManual testing2000020000---0.002--0.320%
2010-12-28T02:15:00Jocelyn LaroucheManual testing3000030000---0.003--0.439%
2011-01-18T22:18:00Jocelyn LaroucheManual testing5000050000---0.006--0.628%
2011-04-24T14:14:00James HeinrichWHS1850004578750---0.048--3.682%
2016-10-05T05:18:43mikrMSI2700000840000001231100.1880.7980.4201.5978.320%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.056--
2009-01-29T04:02:00Sturle Sundeghirardelli.ifi260261--0.056--
2012-04-20T06:31:00markroldgamer261262--0.113--
2013-01-14T12:26:00dbaughManual testing262263--0.361--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.722--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.374--
2016-01-31T12:58:55ramgeisManual testing265266--2.748--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.866 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.866 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.866


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-16T00:00:00ANONYMOUSv4_computers4D3E77055A9DD6870.210
1999-05-02T00:00:00ANONYMOUSv4_computers4D3E77055A9DD6870.210


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-19T21:31:09Oliver KruseGTX-0
1444157054376197466689696744129
2E1A1226BBD2C1__no
2017-12-05T01:27:03kkmrkkblmbrbkc4.xlarge
1444157054376197466689696744129
2E1A1226BBD2C1__no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 185000, B2 = 4578750 (P-1 stage 2)
B1 = 185000 (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
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
2110
Last modified: 2017-12-05T01:27:03+00:00