A343410 - cp's OEIS frontend

A343410 a(n) is the smallest A (in absolute value) such that for p = prime(n), 3^{(p-1)/2} == +-1 + A*p (mod p^2), i.e., such that p is a base-3 near-Wieferich prime (near-Mirimanoff prime).

n	a(n)
2	1
3	2
4	3
5	0
6	4
7	5
8	9
9	3
10	7
11	7
12	9
13	10
14	1
15	18
16	15
17	9
18	24
19	26
20	16
21	13
22	27
23	32
24	12
25	45
26	8
27	10
28	49
29	4
30	2
31	30
32	28
33	9
34	47
35	6
36	22
37	47
38	49
39	50
40	56
41	43
42	66
43	55
44	22
45	14
46	74
47	9
48	61
49	96
50	21
51	25
52	47
53	22
54	111
55	64
56	23
57	5
58	114
59	128
60	110
61	121
62	86
63	56
64	90
65	156
66	117
67	48
68	166
69	133

[1, 2, 3, 0, 4, 5, 9, 3, 7, 7, 9, 10, 1, 18, 15, 9, 24, 26, 16, 13, 27, 32, 12, 45, 8, 10, 49, 4, 2, 30, 28, 9, 47, 6, 22, 47, 49, 50, 56, 43, 66, 55, 22, 14, 74, 9, 61, 96, 21, 25, 47, 22, 111, 64, 23, 5, 114, 128, 110, 121, 86, 56, 90, 156, 117, 48, 166, 133]

cp's OEIS Frontend

A343410 a(n) is the smallest A (in absolute value) such that for p = prime(n), 3^{(p-1)/2} == +-1 + A*p (mod p^2), i.e., such that p is a base-3 near-Wieferich prime (near-Mirimanoff prime).

Table of values

List of values

n	a(n)
2	1
3	2
4	3
5	0
6	4
7	5
8	9
9	3
10	7
11	7
12	9
13	10
14	1
15	18
16	15
17	9
18	24
19	26
20	16
21	13
22	27
23	32
24	12
25	45
26	8
27	10
28	49
29	4
30	2
31	30
32	28
33	9
34	47
35	6
36	22
37	47
38	49
39	50
40	56
41	43
42	66
43	55
44	22
45	14
46	74
47	9
48	61
49	96
50	21
51	25
52	47
53	22
54	111
55	64
56	23
57	5
58	114
59	128
60	110
61	121
62	86
63	56
64	90
65	156
66	117
67	48
68	166
69	133

n	a(n)
2	1
3	2
4	3
5	0
6	4
7	5
8	9
9	3
10	7
11	7
12	9
13	10
14	1
15	18
16	15
17	9
18	24
19	26
20	16
21	13
22	27
23	32
24	12
25	45
26	8
27	10
28	49
29	4
30	2
31	30
32	28
33	9
34	47
35	6
36	22
37	47
38	49
39	50
40	56
41	43
42	66
43	55
44	22
45	14
46	74
47	9
48	61
49	96
50	21
51	25
52	47
53	22
54	111
55	64
56	23
57	5
58	114
59	128
60	110
61	121
62	86
63	56
64	90
65	156
66	117
67	48
68	166
69	133

n	a(n)
2	1
3	2
4	3
5	0
6	4
7	5
8	9
9	3
10	7
11	7
12	9
13	10
14	1
15	18
16	15
17	9
18	24
19	26
20	16
21	13
22	27
23	32
24	12
25	45
26	8
27	10
28	49
29	4
30	2
31	30
32	28
33	9
34	47
35	6
36	22
37	47
38	49
39	50
40	56
41	43
42	66
43	55
44	22
45	14
46	74
47	9
48	61
49	96
50	21
51	25
52	47
53	22
54	111
55	64
56	23
57	5
58	114
59	128
60	110
61	121
62	86
63	56
64	90
65	156
66	117
67	48
68	166
69	133