is 2 426357143 - 1
has 128346289 decimal digits
takes 8,989.030 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-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual279287.161163.2911%200000620000016.10772.1714%303.268864.0882%
Target2822,297.291864.6341%2400000110000000252.58684.1233%2,549.878666.0924%
Difference-3-2,010.1307-1.3430%-2200000-103800000-236.4791-1.9519%-2,246.6098-2.0042%

Known prime factors (9 factors, 461.6 bits, 0.00010826% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
426357143852714287929.6671
1		2008-03-07111.678e-133.057e-56.222e-5
426357143315504285831134.87737
37		2008-03-071375.411e-129.053e-50.0001
42635714313916297147531340.3401632
25 × 3 × 17		2008-03-0732324.649e-100.00100.0020
426357143495878938737591445.49558153
58153		2008-03-071581531.745e-80.09690.1809
4263571432681956972327211547.930314520
23 × 3 × 5 × 2621		2014-03-21826214.740e-80.00460.0082
4263571434750610663456046711858.721557116345
5 × 31 × 3594299		2015-02-133135942990.00025.987511.181
4263571435139394443693457211858.834602710020
22 × 32 × 5 × 11 × 19 × 37 × 433		2015-02-13374330.00020.00180.0023
42635714324700685310506432768392271.0652896712968933
7 × 139 × 1187 × 2508083		2019-12-07118725080831.25564.21177.8023
426357143296275888269743265164232374.64934745036307477
3 × 23 × 127 × 3964970479		2019-12-08127396497047911.8816,604.012,334

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-12-11Seth_TrManual testing10000010000000-
skipped known factor: 852714287
skipped known factor: 31550428583
skipped known factor: 1391629714753
skipped known factor: 49587893873759
skipped known factor: 268195697232721
skipped known factor: 475061066345604671
skipped known factor: 513939444369345721
skipped known factor: 2470068531050643276839
--19.55--2.043%
2021-09-14Seth_TrManual testing2000006200000-
skipped known factor: 852714287
skipped known factor: 31550428583
skipped known factor: 1391629714753
skipped known factor: 49587893873759
skipped known factor: 268195697232721
skipped known factor: 475061066345604671
skipped known factor: 513939444369345721
skipped known factor: 2470068531050643276839
--16.11--2.171%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-03-21TJAOIManual testing??47.930153.42658e-920,5287.82516e-9
2015-02-13pdazzlManual testing2126458.721180.00020,5280.000
2015-02-13pdazzlManual testing2126458.834180.00020,5280.000
2022-03-27James HeinrichManual testing264266--0.026--
2019-06-16Seth_TrManual testing266267--0.035--
2019-06-17Seth_TrManual testing267268--0.070--
2019-06-18Seth_TrManual testing268269--0.140--
2022-10-28LordJuliusManual testing2126947.930154.74010e-820,5281.08248e-7
2022-10-28LordJuliusManual testing2126934.877115.41096e-1220,5281.23568e-11
2022-10-28LordJuliusManual testing2126929.66791.67785e-1320,5283.83166e-13
2022-10-28LordJuliusManual testing2126940.340134.64908e-1020,5281.06169e-9
2022-10-28LordJuliusManual testing2126964.544200.00920,5280.021
2022-10-28LordJuliusManual testing2126958.721180.00020,5280.000
2022-10-28LordJuliusManual testing2126945.495141.74494e-820,5283.98485e-8
2022-10-28LordJuliusManual testing2126958.834180.00020,5280.000
2019-06-21Seth_TrManual testing269270--0.280--
2022-10-28LordJuliusManual testing269270--0.280--
2021-08-06Seth_TrManual testing270271--0.561--
2019-12-07Seth_TrManual testing27127271.065220.13420,5260.307
2022-10-28LordJuliusManual testing27127271.065220.13420,5260.307
2019-12-08Seth_TrManual testing272273--2.243--
2022-10-28LordJuliusManual testing272273--2.243--
2019-12-08Seth_TrManual testing273274--4.487--
2022-10-28LordJuliusManual testing273274--4.487--
2019-12-08Seth_TrManual testing27427574.649232.90820,5106.635
2022-10-28LordJuliusManual testing27427574.649232.90820,5106.635
2021-08-06Seth_TrManual testing275276--17.95--
2019-12-13Seth_TrManual testing276277--35.90--
2021-08-06Seth_TrManual testing277278--71.79--
2019-12-22Seth_TrManual testing278279--143.6--


ECM factoring results:
No ECM results for M426357143


Lucas-Lehmer results:
No L-L results for M426357143


PRP results:
No PRP results for M426357143


P-1 factor-bounds graph:
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 200000, B2 = 6200000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
279
278
277
276
275
274
273
272
271
270
269
268
267
266
264
2
this exponent TF target: 82
TF double-checked to: 67.7
250
260
270
280
290
Last modified: 2023-03-25T13:08:14+00:00