203 
m 
m 
I 
N 
N 
I 
m = 
m = 
MR. G. T. BEX^^ETT ON THE RESIDUES OF POWERS OF NUMBERS 
= 4 + 3^ = - 4 (] 4- 2^■)3 N (m) = 25 ^ {m) = 20 = 2^. 5 H. E. = 20 
x = X + 7Y (mod 25). 
= 3 + 4^ = (2 + if N (m) = 25 (P (in) = 20 = 2^ 5 H. E. = 20 
.z; = X + 18Y (mod 25). 
Generator 2. 
( 20 ) 
( 20 ) 
5 + ^■ = — /(I + ^■) (2 + Si) N (w) = 26 ^ (m) = 12 = 2^. 3 H. E. = 12 
5^ = X4 2lY(mod 26). 
14-5?;= (1 + ^') (3 + 2i) N (m) = 26 (m) = 12 = 2'1 3 H. E. = 12 
X = X + 5Y (mod 26). 
Generator 7. 
I 
0 12 3 
■4 
5 
6 7 
8 
9 
10 
11 
N 
] 7 23 5 
9 
11 
25 19 
3 
21 
17 
15 
1 
3 
5 
7 
9 11 
15 
17 
19 
21 
23 25 
0 
8 
3 
1 
4 5 
11 
10 
7 
9 
2 G 
( 12 ) 
(12) 
