is 2 11357939 - 1
has 3419081 decimal digits
takes 3.843 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8A0D3D86E954710Fdouble-checked
PRP95B16C260A00D57Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.616164.1791%13500017887500.11043.4755%2.726665.4241%1.2450%
PrimeNet2640.313462.5000%5000015000000.06334.0132%0.376764.0049%1.5049%
GPU722685.247964.7059%8000019000000.08792.8830%5.335865.7234%1.0175%
Difference-1-2.6317-0.5268%+55000-111250+0.0225+0.5925%-2.6092-0.2994%-0.2994%

Known prime factors (1 factor, 77.1 bits, 0.00067892% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
113579391632699969176721120111132477.1127187483438574204
22 × 3 × 47 × 1997 × 6381454663
2015-11-04199763814546634,668.8170.57318.57

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-01-14T00:00:00ANONYMOUSv4_computers115000833750---0.076--2.801%
2001-04-01T00:00:00ANONYMOUSv4_computers1350001788750---0.110--3.476%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-01-12T00:00:00ANONYMOUSv4_computers21264--0.313--
2000-01-19T00:00:00ANONYMOUSv4_computers21264--0.313--
2000-01-25T00:00:00ANONYMOUSv4_computers21264--0.313--
2000-02-09T00:00:00ANONYMOUSv4_computers21264--0.313--
2000-02-23T00:00:00ANONYMOUSv4_computers21264--0.313--
2000-04-19T00:00:00ANONYMOUSv4_computers21264--0.313--
2000-08-24T00:00:00ANONYMOUSv4_computers21264--0.313--
2013-11-18T21:49:00lycornManual testing264265--0.329--
2015-05-05T00:48:00NesowaManual testing265266--0.658--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.514 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.514 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.514


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-03-11T00:00:00ANONYMOUSv4_computersF501AE5255C1D0__3.843
2001-05-06T00:00:00ANONYMOUSv4_computers8A0D3D86E954710F3.843
2004-03-01T00:00:00ANONYMOUSv4_computers8A0D3D86E954710F3.843


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-12T15:09:41LaurVtrabi
163269996917672112011113
95B16C260A00D57Fno


P-1 factor-bounds graph:
B1 = 135000, B2 = 1788750 (P-1 stage 2)
B1 = 115000, B2 = 833750 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
266
265
264
250
260
270
280
290
2100
Last modified: 2021-07-12T15:09:41+00:00