A238516 - cp's OEIS frontend

A238516 a(n) = |{0 < k < n: (p(k)+1)*p(n) + 1 is prime}|, where p(.) is the partition function (A000041).

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	3
7	3
8	3
9	4
10	5
11	5
12	2
13	4
14	6
15	5
16	3
17	3
18	3
19	4
20	1
21	7
22	7
23	2
24	6
25	3
26	8
27	7
28	4
29	1
30	6
31	3
32	4
33	5
34	8
35	4
36	4
37	2
38	2
39	4
40	9
41	7
42	6
43	3
44	6
45	4
46	2
47	6
48	6
49	3
50	8
51	5
52	6
53	4
54	7
55	7
56	4
57	8
58	7
59	9
60	1
61	6
62	7
63	7
64	3
65	3
66	7
67	2
68	5
69	4
70	10
71	8
72	5
73	1
74	8
75	9
76	1
77	4
78	6
79	7
80	12
81	3
82	2
83	4
84	10
85	4
86	4

[0, 1, 1, 1, 2, 3, 3, 3, 4, 5, 5, 2, 4, 6, 5, 3, 3, 3, 4, 1, 7, 7, 2, 6, 3, 8, 7, 4, 1, 6, 3, 4, 5, 8, 4, 4, 2, 2, 4, 9, 7, 6, 3, 6, 4, 2, 6, 6, 3, 8, 5, 6, 4, 7, 7, 4, 8, 7, 9, 1, 6, 7, 7, 3, 3, 7, 2, 5, 4, 10, 8, 5, 1, 8, 9, 1, 4, 6, 7, 12, 3, 2, 4, 10, 4, 4]

cp's OEIS Frontend

A238516 a(n) = |{0 < k < n: (p(k)+1)*p(n) + 1 is prime}|, where p(.) is the partition function (A000041).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	3
7	3
8	3
9	4
10	5
11	5
12	2
13	4
14	6
15	5
16	3
17	3
18	3
19	4
20	1
21	7
22	7
23	2
24	6
25	3
26	8
27	7
28	4
29	1
30	6
31	3
32	4
33	5
34	8
35	4
36	4
37	2
38	2
39	4
40	9
41	7
42	6
43	3
44	6
45	4
46	2
47	6
48	6
49	3
50	8
51	5
52	6
53	4
54	7
55	7
56	4
57	8
58	7
59	9
60	1
61	6
62	7
63	7
64	3
65	3
66	7
67	2
68	5
69	4
70	10
71	8
72	5
73	1
74	8
75	9
76	1
77	4
78	6
79	7
80	12
81	3
82	2
83	4
84	10
85	4
86	4

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	3
7	3
8	3
9	4
10	5
11	5
12	2
13	4
14	6
15	5
16	3
17	3
18	3
19	4
20	1
21	7
22	7
23	2
24	6
25	3
26	8
27	7
28	4
29	1
30	6
31	3
32	4
33	5
34	8
35	4
36	4
37	2
38	2
39	4
40	9
41	7
42	6
43	3
44	6
45	4
46	2
47	6
48	6
49	3
50	8
51	5
52	6
53	4
54	7
55	7
56	4
57	8
58	7
59	9
60	1
61	6
62	7
63	7
64	3
65	3
66	7
67	2
68	5
69	4
70	10
71	8
72	5
73	1
74	8
75	9
76	1
77	4
78	6
79	7
80	12
81	3
82	2
83	4
84	10
85	4
86	4

n	a(n)
1	0
2	1
3	1
4	1
5	2
6	3
7	3
8	3
9	4
10	5
11	5
12	2
13	4
14	6
15	5
16	3
17	3
18	3
19	4
20	1
21	7
22	7
23	2
24	6
25	3
26	8
27	7
28	4
29	1
30	6
31	3
32	4
33	5
34	8
35	4
36	4
37	2
38	2
39	4
40	9
41	7
42	6
43	3
44	6
45	4
46	2
47	6
48	6
49	3
50	8
51	5
52	6
53	4
54	7
55	7
56	4
57	8
58	7
59	9
60	1
61	6
62	7
63	7
64	3
65	3
66	7
67	2
68	5
69	4
70	10
71	8
72	5
73	1
74	8
75	9
76	1
77	4
78	6
79	7
80	12
81	3
82	2
83	4
84	10
85	4
86	4