is 2 2106289 - 1
has 634057 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L35451CE4E0926172double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.298567.6471%25000001250000000.87467.9007%29.173270.2032%2.5561%
PrimeNet2580.018262.0690%90001600000.00162.6793%0.019963.0852%1.0163%
GPU722620.291764.5161%100001400000.00161.4522%0.293365.0314%0.5153%
Difference+6+28.0068+3.1309%+2490000+124860000+0.8730+6.4485%+28.8799+5.1717%+5.1717%

Known prime factors (1 factor, 90.4 bits, 0.00429153% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
210628916245094272896487349182595432890.392385633079622418560539
385633079622418560539
2020-07-281385633079622418560539126,749,6122.003e+123.741e+12

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.224%
2009-08-02T00:29:00harleeP4_260020000260000---0.003--0.877%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.352%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.510%
2011-01-24T22:13:00James HeinrichQ66001400003010000---0.028--2.767%
2016-07-17T03:53:37Jocelyn LaroucheManual testing186340602000012---0.048--3.382%
2016-11-08T17:01:21Jocelyn Larouchelow 4M223608223608---0.021--1.241%
2017-05-31T03:38:55Jocelyn Larouchelow 4M37268037268006---0.053--3.361%
2017-06-10T03:57:32Jocelyn Larouchelow 4M44721644721606---0.064--3.583%
2017-07-09T07:06:09mikrMSI250000012500000012---0.875--7.901%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-04T05:48:00Sturle Sundebruckner.ifi260261--0.073--
2012-03-29T22:48:00Sebastian HornbostelManual testing261262--0.146--
2013-09-04T10:21:00ramgeisManual testing262263--0.466--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.932--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.774--
2015-12-27T16:49:17ramgeisManual testing265266--3.548--
2016-10-01T21:16:26Gordon SpenceManual testing266267--7.096--
2019-05-20T13:24:32TJAOIManual testing267268--14.19--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.449 GHz-days
Estimated T-Level:21.982
DigitsB1CurvesCompleteFacMiss
2011000111 / 1001.11032.772%
2550000111 / 2800.39667.224%

New Calculation Method

Total ECM effort:9.449 GHz-days
Estimated T-Level:21.982
DigitsB1CompleteFacMiss
20110003.5812.786%
25500000.32472.353%
302500000.02098.027%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001089.194
50000500000030.255


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00MadPoov4_computers35451CE4E09261720.138
2018-04-02T11:21:56kkmrkkblmbrbkold35451CE4E09261720.138


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-31T09:44:43fre_gamesgpu
1624509427289648734918259543
2163E642CD8E5AECno
2020-08-02T07:57:05daveward2005Davy
1624509427289648734918259543
2163E642CD8E5AECno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 447216, B2 = 4472160 (P-1 stage 2)
B1 = 372680, B2 = 3726800 (P-1 stage 2)
B1 = 186340, B2 = 6020000 (P-1 stage 2)
B1 = 447216 (P-1 stage 1)
B1 = 372680 (P-1 stage 1)
B1 = 140000, B2 = 3010000 (P-1 stage 2)
B1 = 223608 (P-1 stage 1)
B1 = 186340 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-08-02T07:57:05+00:00