is 2 12323 - 1
has 3710 decimal digits
takes 0.000 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
Actual2672,411.256879.1045%100000000100000000000.182812.2223%2,411.439681.6584%
Target2440.000268.1818%500100000.00001.3472%0.000268.6105%
Difference+23+2,411.2566+10.9227%+99999500+9999990000+0.1828+10.8751%+2,411.4395+13.0479%

Known prime factors (5 factors, 351.6 bits, 2.85359893% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1232341208113825.2961672
23 × 11 × 19
-11194.940e-103.270e-96.402e-9
1232362107921825.8882520
23 × 32 × 5 × 7
2008-08-26995.606e-102.574e-95.238e-9
123233575148307903426365598316812788.20814505998165639155910080
26 × 5 × 45331244267622362219
2008-10-2564453312442676223622199.029e+9706,285,9701.319e+9
12323834435919920980188285404487963131102.719338568497898636772005763405
5 × 7 × 157 × 61613921364629075888219
2010-04-04157616139213646290758882191.133e+139.600e+111.793e+12
1232394206136695942404351103649823488933109.53838223702302987261361317718828
22 × 3 × 7 × 709 × 35645041633 × 18005620917811
2009-11-3035645041633180056209178111.108e+13290.18523.97

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-09kkmrkkblmbrbkManual testing1000000001000000000012-
skipped known factor: 41208113
skipped known factor: 62107921
--0.183--12.222%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 41208113
skipped known factor: 62107921
--0.114--7.756%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??25.88881.97859e-100.0001.59022e-8


ECM factoring results:
Total ECM effort:56.234 GHz-days
Estimated T-Level:39.932
DigitsB1CompleteFacMiss
20110001,071.2520.000%
2550000264.2870.000%
3025000050.4210.000%
3510000007.7570.043%
4030000000.98637.291%
45110000000.10989.694%
50440000000.01098.964%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
10.00000e+0
5000050000001560.032
1000001000000010.000
2000002000000010.001
250000250000001300.134
4000004000000010.002
50000050000000250.051
10000001000000001,4265.868
30000003000000004,06250.15


Lucas-Lehmer results:
No L-L results for M12323


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
41208113
62107921
357514830790342636559831681
8344359199209801882854044879631
942061366959424043511036498234889
59260EFD396FED02no
2017-09-21Oliver KruseManual testing
41208113
62107921
357514830790342636559831681
8344359199209801882854044879631
942061366959424043511036498234889
59260EFD396FED02no
2017-10-02kkmrkkblmbrbkManual testing
41208113
62107921
357514830790342636559831681
8344359199209801882854044879631
942061366959424043511036498234889
59260EFD396FED__no
2017-12-07ATHManual testing
41208113
62107921
357514830790342636559831681
8344359199209801882854044879631
942061366959424043511036498234889
59260EFD396FED__no
2020-04-17Oliver KruseManual testing
41208113
62107921
357514830790342636559831681
8344359199209801882854044879631
942061366959424043511036498234889
35FD2FDC36F941__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
1011
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=39.93 ~= 116-bit
250
260
270
280
290
2100
2110
2120
Last modified: 2023-03-23T17:39:31+00:00