is 2 9309743 - 1
has 2802512 decimal digits
takes 2.573 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPM9309743/29791__PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26912.823965.2174%20000004771857090104.950012.6893%117.773969.6311%
Target2686.402464.7059%6000014000000.05332.4560%6.455765.5727%
Difference+1+6.4214+0.5115%+1940000+4770457090+104.8967+10.2333%+111.3182+4.0583%

Known prime factors (7 factors, 300.9 bits, 0.00323189% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9309743297911777928.15016
24		-16163.854e-126.412e-61.305e-5
930974315826563111030.56085
5 × 17		2008-09-085171.565e-112.266e-64.078e-6
93097431154594326871236.7496201
32 × 13 × 53		2008-09-0813531.320e-96.083e-61.060e-5
9309743152977883170871443.798821601
32 × 11 × 43 × 193		2008-11-23431932.311e-72.051e-53.507e-5
9309743178941639228711444.025961045
5 × 73 × 2633		2008-09-307326332.564e-78.515e-50.0001
930974376157095423805291652.758409018248
23 × 34 × 337 × 1873		2014-08-2233718737.014e-50.00020.0003
9309743330432109728128864812064.8411774657526680
23 × 5 × 19 × 2335075693		2018-02-011923350756930.693350.98695.227

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-26Seth_TrManual testing34000019040000-
skipped known factor: 297911777
skipped known factor: 1582656311
skipped known factor: 115459432687
skipped known factor: 15297788317087
skipped known factor: 17894163922871
skipped known factor: 7615709542380529
--0.545--5.053%
2022-06-20ThaZ-1702000000477185709091300.880105.05.146209.912.689%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??36.749123.36508e-1011.601.51729e-9
2008-09-08Will EdgingtonManual testing??30.560102.82685e-1311.601.27460e-12
2008-09-30markrManual testing??44.025144.63151e-911.602.08831e-8
2008-11-23Will EdgingtonManual testing??43.798141.05190e-711.604.74292e-7
2014-08-22TJAOIManual testing??52.758165.69120e-611.602.56609e-5
2022-11-11LordJuliusManual testing2126436.749121.31985e-911.605.95111e-9
2022-11-11LordJuliusManual testing2126443.798142.31058e-711.601.04182e-6
2022-11-11LordJuliusManual testing2126430.560101.56474e-1111.607.05531e-11
2022-11-11LordJuliusManual testing2126444.025142.56368e-711.601.15594e-6
2022-11-11LordJuliusManual testing2126428.15093.85449e-1211.601.73796e-11
2022-11-11LordJuliusManual testing2126458.710180.00811.590.034
2022-11-11LordJuliusManual testing2126452.758167.01357e-511.600.000
2018-02-01TJAOIManual testing264265*64.841200.31110.821.308
2022-11-11LordJuliusManual testing264265
skipped known factors(?)
--0.401--
2022-11-11LordJuliusManual testing26426564.841200.31110.821.308
2022-03-14LordJuliusManual testing265266--0.803--
2019-06-18Seth_TrManual testing266267--1.605--
2019-09-24mnd9Manual testing266267--1.605--
2021-08-06Seth_TrManual testing267268--3.211--
2019-12-28Seth_TrManual testing268269--6.421--


ECM factoring results:
No ECM results for M9309743


Lucas-Lehmer results:
No L-L results for M9309743


PRP results:
dateuseridcompidcofactorsres64PRP
2018-07-14Gabriel Lignelli6300
297911777
1582656311
115459432687
15297788317087
17894163922871
7615709542380529
33043210972812886481
DE384E839992AA__no
2020-11-12kutenssol
297911777
1582656311
115459432687
15297788317087
17894163922871
7615709542380529
33043210972812886481
DE384E839992AA7Cno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 4771857090 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 340000, B2 = 19040000 (P-1 stage 2)
B1 = 340000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
269
268
267
266
265
264
2
this exponent TF target: 68
TF double-checked to: 67.7
250
260
270
Last modified: 2023-03-25T13:08:14+00:00