is 2 2892289 - 1
has 870666 decimal digits
takes 0.223 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8E17598EA759A6BBdouble-checked
PRPCFEDC35C5EB503D8verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.608267.6471%50000002000000001.74989.1858%22.358070.6189%2.9719%
PrimeNet2590.026662.7119%130002400000.00283.0007%0.029463.8308%1.1189%
GPU722630.551865.0794%160003000000.00351.9080%0.555365.7457%0.6663%
Difference+5+20.0564+2.5677%+4984000+199700000+1.7463+7.2777%+21.8026+4.8733%+4.8733%

Known prime factors (1 factor, 68.1 bits, 0.00235455% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28922893164378315894204563272168.10054703702083267
35 × 113 × 1992195713
2020-08-10243199219571332.00312.15622.703

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-02T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.245%
2016-10-27T15:25:31Jocelyn Larouchelow 4M172800172800---0.019--1.146%
2016-12-14T18:29:39Jocelyn Larouchelow 4M248832248832---0.028--1.380%
2017-02-25T21:08:08Jocelyn Larouchelow 4M29859829859806---0.050--3.238%
2017-10-21T00:17:08Jocelyn Larouchelow 4M59719659719606---0.100--4.107%
2019-10-23T17:07:31masserManual testing29000002900000012---0.484--6.444%
2020-02-11T03:26:38masserManual testing500000020000000012---1.750--9.186%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-12T23:15:00Sturle Sundegehry.ifi260261--0.053--
2012-01-14T18:18:00markroldgamer261262--0.106--
2013-01-07T13:47:00dbaughManual testing262263--0.339--
2015-04-21T09:21:00VictordeHollanderManual testing263264--0.679--
2015-04-21T09:21:00VictordeHollanderManual testing264265--1.292--
2015-11-28T11:39:32omylistManual testing265266--2.584--
2017-11-16T23:15:00Gordon SpenceManual testing266267--5.167--
2019-01-12T08:34:57chuenkitManual testing267268--10.33--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.095 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:2.095 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.76946.337%
25500000.07193.130%
302500000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.885
50000500000020.209


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computers3176F3D79A256D__0.223
1999-09-07T00:00:00ANONYMOUSv4_computers8E17598EA759A6BB0.223
2018-09-28T02:06:52kkmrkkblmbrbkold8E17598EA759A6BB0.223


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-10T11:55:48CrypticClueManual testing
316437831589420456327
CFEDC35C5EB503D8no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2900000, B2 = 29000000 (P-1 stage 2)
B1 = 2900000 (P-1 stage 1)
B1 = 597196, B2 = 5971960 (P-1 stage 2)
B1 = 597196 (P-1 stage 1)
B1 = 298598, B2 = 2985980 (P-1 stage 2)
B1 = 298598 (P-1 stage 1)
B1 = 248832 (P-1 stage 1)
B1 = 172800 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
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: 2020-08-10T11:55:48+00:00