is 2 2826829 - 1
has 850961 decimal digits
takes 0.218 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L46E1F3AC13D94965double-checked
PRP466F3243A2F66893verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.085467.6471%50000002000000001.74989.1665%22.835270.6127%2.9656%
PrimeNet2590.027262.7119%120002400000.00272.9321%0.029963.8052%1.0933%
GPU722630.564665.0794%160002600000.00331.8261%0.567965.7171%0.6377%
Difference+5+20.5208+2.5677%+4984000+199740000+1.7465+7.3404%+22.2673+4.8956%+4.8956%

Known prime factors (1 factor, 71.2 bits, 0.00252022% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
282682927930387797246754623032271.242494023299556619
7 × 32647 × 2161753211
2020-11-11326472161753211250.3813.19424.636

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.243%
2016-10-27T15:25:32Jocelyn Larouchelow 4M174240174240---0.020--1.147%
2016-11-03T20:54:29Jocelyn Larouchelow 4M250905250905---0.028--1.380%
2016-12-14T18:29:40Jocelyn Larouchelow 4M301086301086---0.034--1.507%
2017-03-14T03:27:03Jocelyn Larouchelow 4M36130336130306---0.060--3.457%
2019-11-10T16:24:53masserManual testing30000003000000012---0.501--6.483%
2020-01-24T15:13:23masserManual testing500000020000000012---1.750--9.167%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.054--
2009-02-13T02:18:00Sturle Sundegigi.ifi260261--0.054--
2012-02-16T02:06:00markroldgamer261262--0.109--
2013-01-10T10:21:00dbaughManual testing262263--0.347--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.695--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.322--
2016-02-13T14:46:55ramgeisManual testing265266--2.644--
2017-10-28T16:39:39Gordon SpenceManual testing266267--5.287--
2019-01-03T01:11:02chuenkitManual testing267268--10.57--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.904 GHz-days
Estimated T-Level:2.350
DigitsB1CurvesCompleteFacMiss
201100047 / 1000.47062.353%
255000047 / 2800.16884.522%

New Calculation Method

Total ECM effort:4.904 GHz-days
Estimated T-Level:2.350
DigitsB1CompleteFacMiss
20110001.51621.956%
25500000.13787.195%
302500000.00899.160%


ECM Summary

B1B2factorcurvesGHz-days
500005000000444.591
50000500000030.313


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers46E1F3AC13D949650.218
1999-06-15T00:00:00ANONYMOUSv4_computers46E1F3AC13D949650.218
2018-09-09T01:48:46kkmrkkblmbrbkold46E1F3AC13D949650.218


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-12T13:22:33Oliver KruseIOS-5
2793038779724675462303
466F3243A2F66893no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000, B2 = 30000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 361303, B2 = 3613030 (P-1 stage 2)
B1 = 361303 (P-1 stage 1)
B1 = 301086 (P-1 stage 1)
B1 = 250905 (P-1 stage 1)
B1 = 174240 (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:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-11-12T13:22:33+00:00