312 
MR. G. T. BENNETT ON THE RESIDUES OF POWERS OF NUMBERS 
1 
2 3 
4 
5 6 
7 
8 
9 
10 
11 
12 
13 
14 
15 
16 
17 
18 
19 
. 0 
49 1 
46 
1.5 50 
10 
43 
2 
12 
34 
47 
32 
7 
16 
40 
22 
51 
45 
(52) 
20 
21 
22 
23 24 
25 
26 
27 
28 
29 
30 
31 
32 
33 
34 
35 
36 
37 
9 
11 
31 
39 44 
30 
29 
3 
4 
18 
13 
5 
37 
35 
19 
25 
48 
14 
(52) 
38 
39 
40 
41 
12 
43 
41 
45 
46 
47 
48 
49 
50 
51 
52 
42 
33 
6 
21 
8 
38 
28 
17 
36 
24 
41 
20 
27 
23 
26 
1 (52) 
1 
n 
w = 7 + Si = - «■ (1 H- i) (2 + 5i) N (m) 58 ^ {m) = 28 = 2\ 7 H. E. = 28 
= X + 17Y (mod 58). 
m = 3 + 7^ = (1 + i) (5 + 2i) N (m) = 58 (m) = 28 = 2\7 H. E. = 28 
a? = X + 4lY (mod 58). 
Generator 3. 
0 
1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 
13 
1 
3 
9 
27 
23 
11 
83 
41 
7 
21 
5 
15 
45 
19 
14 
15 
16 
17 
18 
19 
20 
21 
22 
23 
24 
25 
26 
27 
57 
55 
49 
31 
35 
1 
1 
25 
17 
51 
37 
53 
43 
13 
39 
1 
1 
3 
5 
7 
9 
11 
13 
15 
17 
19 
21 
23 
25 
27 
0 
1 
10 
8 
2 
5 
26 
11 
21 
13 
9 
4 
20 
3 
31 
33 
35 
37 
39 
41 
43 
45 
47 
49 
51 
53 
55 
57 
17 
6 
18 
23 
27 
7 
25 
12 
19 
16 
22 
24 
15 
14 
(28) 
I 
(28) 
