A258367 - cp's OEIS frontend

A258367 a(n) is the smallest A (in absolute value) such that for p = prime(n), 2^{(p-1)/2} == +-1 + A*p (mod p^2), i.e., such that p is a near-Wieferich prime.

n	a(n)
2	1
3	1
4	1
5	3
6	5
7	2
8	8
9	3
10	14
11	3
12	18
13	9
14	9
15	22
16	18
17	4
18	18
19	5
20	1
21	28
22	30
23	24
24	3
25	20
26	46
27	22
28	47
29	21
30	15
31	9
32	57
33	42
34	15
35	48
36	28
37	41
38	48
39	60
40	85
41	25
42	74
43	25
44	52
45	11
46	32
47	51
48	17
49	13
50	34
51	113
52	13
53	71
54	2
55	16
56	64
57	130
58	81
59	35
60	37
61	29
62	39
63	147
64	68
65	60
66	71
67	96
68	92
69	99
70	12

[1, 1, 1, 3, 5, 2, 8, 3, 14, 3, 18, 9, 9, 22, 18, 4, 18, 5, 1, 28, 30, 24, 3, 20, 46, 22, 47, 21, 15, 9, 57, 42, 15, 48, 28, 41, 48, 60, 85, 25, 74, 25, 52, 11, 32, 51, 17, 13, 34, 113, 13, 71, 2, 16, 64, 130, 81, 35, 37, 29, 39, 147, 68, 60, 71, 96, 92, 99, 12]

cp's OEIS Frontend

A258367 a(n) is the smallest A (in absolute value) such that for p = prime(n), 2^{(p-1)/2} == +-1 + A*p (mod p^2), i.e., such that p is a near-Wieferich prime.

Table of values

List of values

n	a(n)
2	1
3	1
4	1
5	3
6	5
7	2
8	8
9	3
10	14
11	3
12	18
13	9
14	9
15	22
16	18
17	4
18	18
19	5
20	1
21	28
22	30
23	24
24	3
25	20
26	46
27	22
28	47
29	21
30	15
31	9
32	57
33	42
34	15
35	48
36	28
37	41
38	48
39	60
40	85
41	25
42	74
43	25
44	52
45	11
46	32
47	51
48	17
49	13
50	34
51	113
52	13
53	71
54	2
55	16
56	64
57	130
58	81
59	35
60	37
61	29
62	39
63	147
64	68
65	60
66	71
67	96
68	92
69	99
70	12

n	a(n)
2	1
3	1
4	1
5	3
6	5
7	2
8	8
9	3
10	14
11	3
12	18
13	9
14	9
15	22
16	18
17	4
18	18
19	5
20	1
21	28
22	30
23	24
24	3
25	20
26	46
27	22
28	47
29	21
30	15
31	9
32	57
33	42
34	15
35	48
36	28
37	41
38	48
39	60
40	85
41	25
42	74
43	25
44	52
45	11
46	32
47	51
48	17
49	13
50	34
51	113
52	13
53	71
54	2
55	16
56	64
57	130
58	81
59	35
60	37
61	29
62	39
63	147
64	68
65	60
66	71
67	96
68	92
69	99
70	12

n	a(n)
2	1
3	1
4	1
5	3
6	5
7	2
8	8
9	3
10	14
11	3
12	18
13	9
14	9
15	22
16	18
17	4
18	18
19	5
20	1
21	28
22	30
23	24
24	3
25	20
26	46
27	22
28	47
29	21
30	15
31	9
32	57
33	42
34	15
35	48
36	28
37	41
38	48
39	60
40	85
41	25
42	74
43	25
44	52
45	11
46	32
47	51
48	17
49	13
50	34
51	113
52	13
53	71
54	2
55	16
56	64
57	130
58	81
59	35
60	37
61	29
62	39
63	147
64	68
65	60
66	71
67	96
68	92
69	99
70	12