30G MR. G. T, BERTNETT OX THE RESIDUES OF POWERS OF XUMBERS 
m — 5 4,i N [m) = 41 (I> (m) i= 40 = 2 '^. 5 H. E. = 40 a: = X + 9 ^ (mod 41). 
ni 4 + 5i N [m) = 41 $ (m) = 40 = 2®. 5 H. E. = 40 a; = X + 32Y (mod 41). 
Generator G. 
0 
1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 
13 
14 
15 
16 
17 
18 
19 
1 
6 
36 
11 
25 
27 
39 
29 
10 
19 
32 
28 
4 
24 
21 
3 
18 
26 
33 
j 
34 (40) 
20 
21 
22 
23 
24 
25 
26 
27 
28 
29 
30 
31 
32 
33 
34 
35 
36 
37 
38 
39 
40 
35 
5 
30 
16 
14 
2 
12 
31 
22 
9 
13 
37 
17 
20 
38 
23 
15 
8 
7 (40) 
X 
X 
1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 
13 
14 
15 
16 
17 
18 
19 
20 
0 
26 
15 
12 
22 
1 
39 
38 
30 
8 
3 
27 
31 
25 
37 
24 
33 
16 
9 
34 
21 
22 
23 
24 
25 
26 
27 
28 
29 
30 
31 
32 
33 
34 
35 
36 
37 
38 
39 
40 
14 
29 
36 
13 
4 
17 
5 
11 
7 
23 
28 
10 
18 
19 
21 
2 
32 
35 
6 
20 
(40) 
(40) 
