is 2 2757617 - 1
has 830126 decimal digits
takes 0.213 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L443A9FCE8B25FC7Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.775267.1642%2700000840000000.79848.3313%11.573769.8998%2.7356%
PrimeNet2590.027862.7119%120002200000.00262.8539%0.030563.7760%1.0642%
GPU722630.578865.0794%150002400000.00311.7448%0.581865.6886%0.6093%
Difference+4+10.1964+2.0848%+2685000+83760000+0.7954+6.5865%+10.9918+4.2112%+4.2112%

Known prime factors (1 factor, 92.6 bits, 0.00335784% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
275761774870510048919454705279430892892.5961357521912015327993432
23 × 3 × 17 × 41 × 10463 × 307939 × 25187317
2016-12-3030793925187317657,512,9400.18630.2870

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.299%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.934%
2010-12-21T11:04:00Jocelyn LaroucheManual testing2000020000---0.002--0.321%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.440%
2011-01-23T12:18:00Jocelyn LaroucheManual testing5000050000---0.006--0.630%
2011-05-08T16:25:00James HeinrichWHS1900004655000---0.049--3.717%
2016-12-30T13:42:00mikrMSI270000084000000122892.5960.7980.4261.5978.331%
2017-01-10T10:25:14Jocelyn Larouchelow 4M228000228000---0.026--1.490%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:20Mark RoseManual testing21260--0.056--
2009-02-14T04:13:00Sturle Sundeghibu.ifi260261--0.056--
2012-03-26T08:20:00markroldgamer261262--0.111--
2013-01-10T10:19:00dbaughManual testing262263--0.356--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.712--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.355--
2016-02-05T15:45:59ramgeisManual testing265266--2.710--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.871 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.871 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.871


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers443A9FCE8B25FC7E0.213
1999-08-07T00:00:00ANONYMOUSv4_computers443A9FCE8B25FC7E0.213


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-20T18:27:16Oliver KruseGTX-1
7487051004891945470527943089
13E4EC38A0C917__no
2017-12-05T20:47:44kkmrkkblmbrbkc4.xlarge
7487051004891945470527943089
13E4EC38A0C917__no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 190000, B2 = 4655000 (P-1 stage 2)
B1 = 228000 (P-1 stage 1)
B1 = 190000 (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
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2017-12-05T20:47:44+00:00