is 2 13291111 - 1
has 4001024 decimal digits
takes 5.897 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LC8ACD8847A15EF45double-checked
PRPD18E8E5FA6EFF2__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual273143.919167.1233%10000000290751360901,025.188613.4827%1,169.107771.5560%4.4327%
PrimeNet2640.267862.5000%6000017000000.09614.3511%0.363964.1317%1.6317%
GPU722684.484664.7059%9000024000000.13893.1792%4.623465.8279%1.1221%
Difference+5+139.4345+2.4174%+9910000+29072736090+1,025.0497+10.3035%+1,164.4842+5.7280%+5.7280%

Known prime factors (1 factor, 87.7 bits, 0.00065989% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
132911112526684003414187232116038472787.7079505164780484442693
13 × 172 × 31 × 2617 × 149731 × 208277
2022-01-201497312082774,130,9130.09840.1960

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-10T00:00:00ANONYMOUSv4_computers1550002053750---0.166--1.892%
2022-01-20T02:08:31Zhang Ruichongv3085010005010002787.7070.32211.790.6451.326%
2022-02-18T16:58:13Ethan O'ConnorManual testing10000002325673350-
skipped known factor: 252668400341418723211603847
--82.12--8.318%
2022-02-18T16:58:13Ethan O'ConnorManual testing1000000029075136090-
skipped known factor: 252668400341418723211603847
--1,025--13.483%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-05-24T00:00:00ANONYMOUSv4_computers21264--0.268--
2013-05-15T14:21:00lycornManual testing264265--0.281--
2014-06-01T00:19:00NesowaManual testing265266--0.562--
2015-07-20T21:15:00NesowaManual testing266267--1.124--
2017-12-23T05:01:59-Anonymous-Manual testing267268--2.249--
2018-01-07T23:33:27ramgeisManual testing268269--4.498--
2021-08-07T17:49:19SRBaseManual testing269270--8.996--
2021-09-03T14:59:53SRBaseManual testing270271--17.99--
2021-10-22T18:59:57-Anonymous-Manual testing271272--35.98--
2022-01-01T11:35:25-Anonymous-Manual testing272273--71.97--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.675 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.675 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-10T00:00:00Keith Ballv4_computersC8ACD8847A15EF455.897
2004-11-22T00:00:00Team Prime Ribv4_computersC8ACD8847A15EF455.897


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-29T08:48:04Ethan O'ConnorManual testing
252668400341418723211603847
D18E8E5FA6EFF2__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 29075136090 (P-1 stage 2)
B1 = 1000000, B2 = 2325673350 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 501000 (P-1 stage 1)
B1 = 155000, B2 = 2053750 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
250
260
270
280
290
2100
Last modified: 2022-02-18T16:58:13+00:00