is 2 11026033 - 1
has 3319167 decimal digits
takes 3.602 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCA3D0C49E93BDE59double-checked
PRPDA6C06D2F7249F34verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.694964.1791%25000050000000.24104.7023%2.935965.8635%1.6844%
PrimeNet2640.322862.5000%5000015000000.06113.9955%0.383963.9983%1.4983%
GPU722685.405864.7059%7000018000000.07782.7614%5.483665.6805%0.9746%
Difference-1-2.7109-0.5268%+180000+3200000+0.1632+1.9409%-2.5477+0.1830%+0.1830%

Known prime factors (1 factor, 78.8 bits, 0.00071449% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
110260335187496337515939515617032478.77923523856392938147
1531 × 15365027036537
2015-09-171531153650270365377,050.6396,520740,589

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00ANONYMOUSv4_computers105000472500---0.059--2.336%
2004-01-18T00:00:00dswansonv4_computers600001020000---0.053--2.642%
2004-02-23T00:00:00ANONYMOUSv4_computers600001020000---0.053--2.642%
2004-04-09T00:00:00shaneamyv4_computers55000825000---0.046--2.463%
2014-05-01T09:12:00ThaRiet-Ubuntu2500005000000---0.241--4.702%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21264--0.323--
2013-11-30T23:40:00lycornManual testing264265--0.339--
2015-02-01T07:21:00mognutsManual testing265266--0.678--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.497 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.497 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03296.826%
25500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.497


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-02-11T00:00:00ANONYMOUSv4_computersCA3D0C49E93BDE593.602
2004-04-29T00:00:00shaneamyv4_computersCA3D0C49E93BDE593.602
2005-03-20T00:00:00shaneamyv4_computersCA3D0C49E93BDE593.602


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-25T13:34:57happy5214Focus
518749633751593951561703
DA6C06D2F7249F34no


P-1 factor-bounds graph:
B1 = 250000, B2 = 5000000 (P-1 stage 2)
B1 = 250000 (P-1 stage 1)
B1 = 105000, B2 = 472500 (P-1 stage 2)
B1 = 60000, B2 = 1020000 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 55000, B2 = 825000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
266
265
264
250
260
270
280
290
2100
Last modified: 2021-04-25T13:34:57+00:00