is 2 11321579 - 1
has 3408135 decimal digits
takes 3.830 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC0331E8701BE4906double-checked
PRPD2BBE79A09E57A61PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27284.470066.6667%61891071856732107.83367.6932%92.303669.2311%2.5644%
PrimeNet2640.314462.5000%5000015000000.06334.0113%0.377764.0042%1.5042%
GPU722685.264764.7059%8000019000000.08792.8816%5.352665.7229%1.0170%
Difference+4+79.2053+1.9608%+6109107+183773210+7.7457+4.8116%+86.9510+3.5081%+1.5474%

Known prime factors (1 factor, 135.6 bits, 0.00119797% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
113215796738415674590030076631710335568842151756141135.6302975916908140653382638459854216820
22 × 3 × 5 × 107 × 479 × 1657 × 22307 × 580379 × 4562197 × 9887827
2021-10-21456219798878271.384e+102.38054.5550

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-05T00:00:00ANONYMOUSv4_computers165000165000---0.081--0.829%
2000-11-15T00:00:00ANONYMOUSv4_computers165000165000---0.081--0.829%
2001-03-11T00:00:00ANONYMOUSv4_computers1350002328750---0.125--2.088%
2014-06-02T17:55:00HBendtzManual testing60000012000000---0.599--3.808%
2021-10-21T05:33:50LaurVManual testing618910718567321041135.6307.8347.66115.677.693%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-23T00:00:00Mark Blankev4_computers21264--0.314--
2013-11-20T02:19:00lycornManual testing264265--0.330--
2015-02-17T22:19:00mognutsManual testing265266--0.660--
2016-01-04T21:25:06VictordeHollanderManual testing266267--1.320--
2017-12-27T12:57:23ramgeisManual testing267268--2.640--
2017-12-27T12:57:23ramgeisManual testing268269--5.280--
2021-08-06T15:23:03SRBaseManual testing269270--10.56--
2021-08-14T16:23:30SRBaseManual testing270271--21.12--
2021-10-23T14:15:41-Anonymous-Manual testing271272--42.24--


ECM factoring results:
Total ECM effort:1.029 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.029


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-10T00:00:00ANONYMOUSv4_computersC0331E8701BE49063.830
2004-02-07T00:00:00ANONYMOUSv4_computersC0331E8701BE49063.830


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-22T21:42:40LaurVtrabi
67384156745900300766317103355688421517561
D2BBE79A09E57A61no


P-1 factor-bounds graph:
B1 = 6189107, B2 = 185673210 (P-1 stage 2)
B1 = 6189107 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 135000, B2 = 2328750 (P-1 stage 2)
B1 = 165000 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2021-10-23T14:15:41+00:00