A345706 - cp's OEIS frontend

A345706 a(n) is the least exponent k > 0 of the n-th prime such that (Product_{j=1..n-1} prime(j)) * prime(n)^k + 1 is a Euclid-Pocklington prime (A053341).

n	a(n)
1	1
2	1
3	2
4	2
5	3
6	6
7	5
8	12
9	9
10	8
11	10
12	9
13	20
14	14
15	24
16	18
17	12
18	16
19	58
20	26
21	20
22	30
23	42
24	322
25	276
26	27
27	25
28	48
29	27
30	208
31	38
32	77
33	48
34	55
35	414
36	94
37	67
38	107
39	53
40	33
41	56
42	38
43	34
44	52
45	60
46	60
47	483
48	41
49	155
50	105
51	43
52	476
53	68
54	126
55	51
56	387
57	49
58	121
59	46
60	65
61	395
62	68
63	78
64	308

[1, 1, 2, 2, 3, 6, 5, 12, 9, 8, 10, 9, 20, 14, 24, 18, 12, 16, 58, 26, 20, 30, 42, 322, 276, 27, 25, 48, 27, 208, 38, 77, 48, 55, 414, 94, 67, 107, 53, 33, 56, 38, 34, 52, 60, 60, 483, 41, 155, 105, 43, 476, 68, 126, 51, 387, 49, 121, 46, 65, 395, 68, 78, 308]

cp's OEIS Frontend

A345706 a(n) is the least exponent k > 0 of the n-th prime such that (Product_{j=1..n-1} prime(j)) * prime(n)^k + 1 is a Euclid-Pocklington prime (A053341).

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	2
5	3
6	6
7	5
8	12
9	9
10	8
11	10
12	9
13	20
14	14
15	24
16	18
17	12
18	16
19	58
20	26
21	20
22	30
23	42
24	322
25	276
26	27
27	25
28	48
29	27
30	208
31	38
32	77
33	48
34	55
35	414
36	94
37	67
38	107
39	53
40	33
41	56
42	38
43	34
44	52
45	60
46	60
47	483
48	41
49	155
50	105
51	43
52	476
53	68
54	126
55	51
56	387
57	49
58	121
59	46
60	65
61	395
62	68
63	78
64	308

n	a(n)
1	1
2	1
3	2
4	2
5	3
6	6
7	5
8	12
9	9
10	8
11	10
12	9
13	20
14	14
15	24
16	18
17	12
18	16
19	58
20	26
21	20
22	30
23	42
24	322
25	276
26	27
27	25
28	48
29	27
30	208
31	38
32	77
33	48
34	55
35	414
36	94
37	67
38	107
39	53
40	33
41	56
42	38
43	34
44	52
45	60
46	60
47	483
48	41
49	155
50	105
51	43
52	476
53	68
54	126
55	51
56	387
57	49
58	121
59	46
60	65
61	395
62	68
63	78
64	308

n	a(n)
1	1
2	1
3	2
4	2
5	3
6	6
7	5
8	12
9	9
10	8
11	10
12	9
13	20
14	14
15	24
16	18
17	12
18	16
19	58
20	26
21	20
22	30
23	42
24	322
25	276
26	27
27	25
28	48
29	27
30	208
31	38
32	77
33	48
34	55
35	414
36	94
37	67
38	107
39	53
40	33
41	56
42	38
43	34
44	52
45	60
46	60
47	483
48	41
49	155
50	105
51	43
52	476
53	68
54	126
55	51
56	387
57	49
58	121
59	46
60	65
61	395
62	68
63	78
64	308