is 2 10747343 - 1
has 3235273 decimal digits
takes 3.511 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L286D89EEA44DDE98double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672.764864.1791%15500030000000.14683.9526%2.911665.5949%
Target2685.546064.7059%70000136000000.38232.7146%5.928365.6640%
Difference-1-2.7812-0.5268%+85000-10600000-0.2355+1.2380%-3.0167-0.0690%

Known prime factors (1 factor, 82.7 bits, 0.00076950% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1074734378606971529061266989990412582.701365704209538400640
27 × 3 × 5 × 311 × 3221 × 190141807
2015-07-313221190141807102,9724.90849.1648

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-07-25ANONYMOUSv4_computers155000155000---0.073--1.547%
2000-08-10ANONYMOUSv4_computers110000770000---0.069--2.702%
2013-04-02NesowaOutback1550003000000---0.147--3.953%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21Jonathan A Zylstrav4_computers21264--0.331--
2013-12-11lycornManual testing264265--0.348--
2015-05-18ThaManual testing265266--0.695--


ECM factoring results:
Total ECM effort:0.497 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.497


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-12-14ANONYMOUSv4_computers286D89EEA44DDE983.511
2002-03-24ANONYMOUSv4_computers286D89EEA44DDE983.511
2003-05-04ANONYMOUSv4_computers286D89EEA44DDE983.511
2004-01-18ANONYMOUSv4_computers286D89EEA44DDE983.511


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-14mrhw
7860697152906126698999041
84FF5562C53CE971no


P-1 factor-bounds graph:
B1 = 155000, B2 = 3000000 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
B1 = 110000, B2 = 770000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
266
265
264
this exponent TF target: 68
TF double-checked to: 67.9
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
290
Last modified: 2023-06-05T21:50:05+00:00