is 2 2798899 - 1
has 842553 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L26F1B90B8F2868F0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.616367.1642%40000040000000.06683.9650%10.683168.4661%1.3019%
PrimeNet2590.027462.7119%120002400000.00272.9269%0.030263.8033%1.0914%
GPU722630.570265.0794%150002600000.00321.7896%0.573465.7043%0.6249%
Difference+4+10.0461+2.0848%+385000+3740000+0.0636+2.1754%+10.1096+2.7618%+2.7618%

Known prime factors (1 factor, 68.2 bits, 0.00243569% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27988993326610631786803739192168.17359427128877941
11 × 47 × 2089 × 55024457
2018-01-2720895502445735.0780.33600.6271

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.300%
2010-11-12T11:43:00Jocelyn LaroucheManual testing1500015000---0.002--0.253%
2010-11-21T10:51:00markrtiny1000002075000---0.023--2.796%
2014-11-06T23:05:00Jocelyn LaroucheManual testing122932122932---0.014--1.086%
2016-05-08T19:01:28Jocelyn LaroucheManual testing20000036000006---0.043--3.551%
2017-07-30T01:18:51Jocelyn Larouchelow 4M40000040000006---0.067--3.965%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.055--
2009-02-13T18:13:00Sturle Sundekraus.ifi260261--0.055--
2012-03-05T05:04:00Grant McCrackenthumper261262--0.110--
2013-01-10T10:21:00dbaughManual testing262263--0.351--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.701--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.335--
2016-02-10T11:15:45ramgeisManual testing265266--2.670--
2017-10-20T11:26:19Gordon SpenceManual testing266267--5.340--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.813 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:2.813 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110000.87141.855%
25500000.07992.430%
302500000.00599.516%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.500
50000500000030.313


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computers26F1B90B8F2868F00.216


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-29T10:37:14AdolfNorManual testing
332661063178680373919
C330A583316A9F__no
2018-01-30T22:30:41Oliver KruseGTX-2
332661063178680373919
C330A583316A9F__no


P-1 factor-bounds graph:
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 122932 (P-1 stage 1)
B1 = 100000 (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
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: 2018-01-30T22:30:41+00:00