A081617 - cp's OEIS frontend

A081617 Smallest k such that (product of first n primes)*k+1 is divisible by the (n+1)-th prime. Also (A075306(n)-1)/A002110(n).

n	a(n)
1	1
2	4
3	3
4	10
5	10
6	2
7	1
8	3
9	17
10	13
11	10
12	34
13	38
14	4
15	51
16	55
17	51
18	29
19	68
20	13
21	59
22	30
23	27
24	45
25	18
26	92
27	77
28	82
29	64
30	14
31	68
32	58
33	114
34	68
35	8
36	77
37	42
38	114
39	31
40	98
41	129
42	110
43	43
44	61
45	159
46	35
47	109
48	60
49	91
50	149
51	193
52	2
53	38
54	120
55	259
56	147
57	135
58	22
59	140
60	10
61	263
62	285
63	286
64	134
65	308

[1, 4, 3, 10, 10, 2, 1, 3, 17, 13, 10, 34, 38, 4, 51, 55, 51, 29, 68, 13, 59, 30, 27, 45, 18, 92, 77, 82, 64, 14, 68, 58, 114, 68, 8, 77, 42, 114, 31, 98, 129, 110, 43, 61, 159, 35, 109, 60, 91, 149, 193, 2, 38, 120, 259, 147, 135, 22, 140, 10, 263, 285, 286, 134, 308]

cp's OEIS Frontend

A081617 Smallest k such that (product of first n primes)*k+1 is divisible by the (n+1)-th prime. Also (A075306(n)-1)/A002110(n).

Table of values

List of values

n	a(n)
1	1
2	4
3	3
4	10
5	10
6	2
7	1
8	3
9	17
10	13
11	10
12	34
13	38
14	4
15	51
16	55
17	51
18	29
19	68
20	13
21	59
22	30
23	27
24	45
25	18
26	92
27	77
28	82
29	64
30	14
31	68
32	58
33	114
34	68
35	8
36	77
37	42
38	114
39	31
40	98
41	129
42	110
43	43
44	61
45	159
46	35
47	109
48	60
49	91
50	149
51	193
52	2
53	38
54	120
55	259
56	147
57	135
58	22
59	140
60	10
61	263
62	285
63	286
64	134
65	308

n	a(n)
1	1
2	4
3	3
4	10
5	10
6	2
7	1
8	3
9	17
10	13
11	10
12	34
13	38
14	4
15	51
16	55
17	51
18	29
19	68
20	13
21	59
22	30
23	27
24	45
25	18
26	92
27	77
28	82
29	64
30	14
31	68
32	58
33	114
34	68
35	8
36	77
37	42
38	114
39	31
40	98
41	129
42	110
43	43
44	61
45	159
46	35
47	109
48	60
49	91
50	149
51	193
52	2
53	38
54	120
55	259
56	147
57	135
58	22
59	140
60	10
61	263
62	285
63	286
64	134
65	308

n	a(n)
1	1
2	4
3	3
4	10
5	10
6	2
7	1
8	3
9	17
10	13
11	10
12	34
13	38
14	4
15	51
16	55
17	51
18	29
19	68
20	13
21	59
22	30
23	27
24	45
25	18
26	92
27	77
28	82
29	64
30	14
31	68
32	58
33	114
34	68
35	8
36	77
37	42
38	114
39	31
40	98
41	129
42	110
43	43
44	61
45	159
46	35
47	109
48	60
49	91
50	149
51	193
52	2
53	38
54	120
55	259
56	147
57	135
58	22
59	140
60	10
61	263
62	285
63	286
64	134
65	308