A242250 - cp's OEIS frontend

A242250 Least positive integer g < prime(n) such that g, 2^g - 1 and (g-1)! are all primitive roots modulo prime(n), or 0 if such a number g does not exist.

n	a(n)
1	1
2	0
3	3
4	5
5	8
6	11
7	5
8	13
9	21
10	10
11	12
12	22
13	24
14	34
15	13
16	31
17	18
18	6
19	41
20	11
21	14
22	53
23	8
24	6
25	26
26	3
27	12
28	5
29	47
30	10
31	45
32	10
33	5
34	32
35	12
36	6
37	24
38	3
39	15
40	3
41	6
42	41
43	19
44	10
45	8
46	30
47	3
48	67
49	5
50	35
51	20
52	13
53	99
54	19
55	7
56	7
57	3
58	118
59	5
60	15
61	22
62	3
63	73
64	59
65	91
66	8
67	137
68	46
69	20
70	55

[1, 0, 3, 5, 8, 11, 5, 13, 21, 10, 12, 22, 24, 34, 13, 31, 18, 6, 41, 11, 14, 53, 8, 6, 26, 3, 12, 5, 47, 10, 45, 10, 5, 32, 12, 6, 24, 3, 15, 3, 6, 41, 19, 10, 8, 30, 3, 67, 5, 35, 20, 13, 99, 19, 7, 7, 3, 118, 5, 15, 22, 3, 73, 59, 91, 8, 137, 46, 20, 55]

cp's OEIS Frontend

A242250 Least positive integer g < prime(n) such that g, 2^g - 1 and (g-1)! are all primitive roots modulo prime(n), or 0 if such a number g does not exist.

Table of values

List of values

n	a(n)
1	1
2	0
3	3
4	5
5	8
6	11
7	5
8	13
9	21
10	10
11	12
12	22
13	24
14	34
15	13
16	31
17	18
18	6
19	41
20	11
21	14
22	53
23	8
24	6
25	26
26	3
27	12
28	5
29	47
30	10
31	45
32	10
33	5
34	32
35	12
36	6
37	24
38	3
39	15
40	3
41	6
42	41
43	19
44	10
45	8
46	30
47	3
48	67
49	5
50	35
51	20
52	13
53	99
54	19
55	7
56	7
57	3
58	118
59	5
60	15
61	22
62	3
63	73
64	59
65	91
66	8
67	137
68	46
69	20
70	55

n	a(n)
1	1
2	0
3	3
4	5
5	8
6	11
7	5
8	13
9	21
10	10
11	12
12	22
13	24
14	34
15	13
16	31
17	18
18	6
19	41
20	11
21	14
22	53
23	8
24	6
25	26
26	3
27	12
28	5
29	47
30	10
31	45
32	10
33	5
34	32
35	12
36	6
37	24
38	3
39	15
40	3
41	6
42	41
43	19
44	10
45	8
46	30
47	3
48	67
49	5
50	35
51	20
52	13
53	99
54	19
55	7
56	7
57	3
58	118
59	5
60	15
61	22
62	3
63	73
64	59
65	91
66	8
67	137
68	46
69	20
70	55

n	a(n)
1	1
2	0
3	3
4	5
5	8
6	11
7	5
8	13
9	21
10	10
11	12
12	22
13	24
14	34
15	13
16	31
17	18
18	6
19	41
20	11
21	14
22	53
23	8
24	6
25	26
26	3
27	12
28	5
29	47
30	10
31	45
32	10
33	5
34	32
35	12
36	6
37	24
38	3
39	15
40	3
41	6
42	41
43	19
44	10
45	8
46	30
47	3
48	67
49	5
50	35
51	20
52	13
53	99
54	19
55	7
56	7
57	3
58	118
59	5
60	15
61	22
62	3
63	73
64	59
65	91
66	8
67	137
68	46
69	20
70	55