A323021 - cp's OEIS frontend

A323021 A way to generate a minimal generating set of (Z/nZ)* whose elements are multiplicatively independent for every n: row n lists the elements of S(n), where S(n) is defined in the comment section. Here (Z/nZ)* is the multiplicative group of integers modulo n.

n	a(n)
3	2
4	3
5	2
6	5
7	3
8	5
9	7
10	2
11	7
12	2
13	5
14	7
15	2
16	3
17	7
18	11
19	5
20	15
21	3
22	11
23	2
24	11
25	17
26	8
27	10
28	13
29	5
30	7
31	13
32	17
33	2
34	15
35	2
36	15
37	17
38	2
39	7
40	11
41	3
42	5
43	31
44	13
45	23
46	3
47	22
48	31
49	19
50	29
51	2
52	21
53	14
54	28
55	17
56	21
57	31
58	6
59	29
60	31
61	3
62	13
63	23
64	11
65	37
66	5
67	5
68	17
69	31
70	37
71	3
72	27
73	35
74	37
75	27
76	41

[2, 3, 2, 5, 3, 5, 7, 2, 7, 2, 5, 7, 2, 3, 7, 11, 5, 15, 3, 11, 2, 11, 17, 8, 10, 13, 5, 7, 13, 17, 2, 15, 2, 15, 17, 2, 7, 11, 3, 5, 31, 13, 23, 3, 22, 31, 19, 29, 2, 21, 14, 28, 17, 21, 31, 6, 29, 31, 3, 13, 23, 11, 37, 5, 5, 17, 31, 37, 3, 27, 35, 37, 27, 41]

cp's OEIS Frontend

A323021 A way to generate a minimal generating set of (Z/nZ)* whose elements are multiplicatively independent for every n: row n lists the elements of S(n), where S(n) is defined in the comment section. Here (Z/nZ)* is the multiplicative group of integers modulo n.

Table of values

List of values

n	a(n)
3	2
4	3
5	2
6	5
7	3
8	5
9	7
10	2
11	7
12	2
13	5
14	7
15	2
16	3
17	7
18	11
19	5
20	15
21	3
22	11
23	2
24	11
25	17
26	8
27	10
28	13
29	5
30	7
31	13
32	17
33	2
34	15
35	2
36	15
37	17
38	2
39	7
40	11
41	3
42	5
43	31
44	13
45	23
46	3
47	22
48	31
49	19
50	29
51	2
52	21
53	14
54	28
55	17
56	21
57	31
58	6
59	29
60	31
61	3
62	13
63	23
64	11
65	37
66	5
67	5
68	17
69	31
70	37
71	3
72	27
73	35
74	37
75	27
76	41

n	a(n)
3	2
4	3
5	2
6	5
7	3
8	5
9	7
10	2
11	7
12	2
13	5
14	7
15	2
16	3
17	7
18	11
19	5
20	15
21	3
22	11
23	2
24	11
25	17
26	8
27	10
28	13
29	5
30	7
31	13
32	17
33	2
34	15
35	2
36	15
37	17
38	2
39	7
40	11
41	3
42	5
43	31
44	13
45	23
46	3
47	22
48	31
49	19
50	29
51	2
52	21
53	14
54	28
55	17
56	21
57	31
58	6
59	29
60	31
61	3
62	13
63	23
64	11
65	37
66	5
67	5
68	17
69	31
70	37
71	3
72	27
73	35
74	37
75	27
76	41

n	a(n)
3	2
4	3
5	2
6	5
7	3
8	5
9	7
10	2
11	7
12	2
13	5
14	7
15	2
16	3
17	7
18	11
19	5
20	15
21	3
22	11
23	2
24	11
25	17
26	8
27	10
28	13
29	5
30	7
31	13
32	17
33	2
34	15
35	2
36	15
37	17
38	2
39	7
40	11
41	3
42	5
43	31
44	13
45	23
46	3
47	22
48	31
49	19
50	29
51	2
52	21
53	14
54	28
55	17
56	21
57	31
58	6
59	29
60	31
61	3
62	13
63	23
64	11
65	37
66	5
67	5
68	17
69	31
70	37
71	3
72	27
73	35
74	37
75	27
76	41