A233417 - cp's OEIS frontend

A233417 a(n) = |{0 < k <= n/2: q(k)*q(n-k) + 1 is prime}|, where q(.) is the strict partition function (A000009).

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	2
7	2
8	3
9	2
10	2
11	4
12	5
13	3
14	1
15	5
16	7
17	1
18	3
19	4
20	4
21	3
22	2
23	5
24	3
25	6
26	6
27	1
28	6
29	8
30	6
31	6
32	4
33	7
34	7
35	3
36	5
37	5
38	6
39	6
40	5
41	5
42	3
43	7
44	8
45	7
46	7
47	8
48	8
49	6
50	4
51	8
52	8
53	5
54	3
55	8
56	8
57	5
58	15
59	6
60	8
61	3
62	9
63	5
64	6
65	7
66	9
67	4
68	6
69	8
70	9
71	5
72	4
73	7
74	8
75	7
76	6
77	10
78	9
79	9
80	8
81	6
82	6
83	9
84	9
85	7
86	12
87	5
88	10
89	7
90	7
91	5
92	3
93	8
94	10
95	7
96	5
97	9
98	7
99	4
100	5

[0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 5, 3, 1, 5, 7, 1, 3, 4, 4, 3, 2, 5, 3, 6, 6, 1, 6, 8, 6, 6, 4, 7, 7, 3, 5, 5, 6, 6, 5, 5, 3, 7, 8, 7, 7, 8, 8, 6, 4, 8, 8, 5, 3, 8, 8, 5, 15, 6, 8, 3, 9, 5, 6, 7, 9, 4, 6, 8, 9, 5, 4, 7, 8, 7, 6, 10, 9, 9, 8, 6, 6, 9, 9, 7, 12, 5, 10, 7, 7, 5, 3, 8, 10, 7, 5, 9, 7, 4, 5]

cp's OEIS Frontend

A233417 a(n) = |{0 < k <= n/2: q(k)*q(n-k) + 1 is prime}|, where q(.) is the strict partition function (A000009).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	2
7	2
8	3
9	2
10	2
11	4
12	5
13	3
14	1
15	5
16	7
17	1
18	3
19	4
20	4
21	3
22	2
23	5
24	3
25	6
26	6
27	1
28	6
29	8
30	6
31	6
32	4
33	7
34	7
35	3
36	5
37	5
38	6
39	6
40	5
41	5
42	3
43	7
44	8
45	7
46	7
47	8
48	8
49	6
50	4
51	8
52	8
53	5
54	3
55	8
56	8
57	5
58	15
59	6
60	8
61	3
62	9
63	5
64	6
65	7
66	9
67	4
68	6
69	8
70	9
71	5
72	4
73	7
74	8
75	7
76	6
77	10
78	9
79	9
80	8
81	6
82	6
83	9
84	9
85	7
86	12
87	5
88	10
89	7
90	7
91	5
92	3
93	8
94	10
95	7
96	5
97	9
98	7
99	4
100	5

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	2
7	2
8	3
9	2
10	2
11	4
12	5
13	3
14	1
15	5
16	7
17	1
18	3
19	4
20	4
21	3
22	2
23	5
24	3
25	6
26	6
27	1
28	6
29	8
30	6
31	6
32	4
33	7
34	7
35	3
36	5
37	5
38	6
39	6
40	5
41	5
42	3
43	7
44	8
45	7
46	7
47	8
48	8
49	6
50	4
51	8
52	8
53	5
54	3
55	8
56	8
57	5
58	15
59	6
60	8
61	3
62	9
63	5
64	6
65	7
66	9
67	4
68	6
69	8
70	9
71	5
72	4
73	7
74	8
75	7
76	6
77	10
78	9
79	9
80	8
81	6
82	6
83	9
84	9
85	7
86	12
87	5
88	10
89	7
90	7
91	5
92	3
93	8
94	10
95	7
96	5
97	9
98	7
99	4
100	5

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	2
7	2
8	3
9	2
10	2
11	4
12	5
13	3
14	1
15	5
16	7
17	1
18	3
19	4
20	4
21	3
22	2
23	5
24	3
25	6
26	6
27	1
28	6
29	8
30	6
31	6
32	4
33	7
34	7
35	3
36	5
37	5
38	6
39	6
40	5
41	5
42	3
43	7
44	8
45	7
46	7
47	8
48	8
49	6
50	4
51	8
52	8
53	5
54	3
55	8
56	8
57	5
58	15
59	6
60	8
61	3
62	9
63	5
64	6
65	7
66	9
67	4
68	6
69	8
70	9
71	5
72	4
73	7
74	8
75	7
76	6
77	10
78	9
79	9
80	8
81	6
82	6
83	9
84	9
85	7
86	12
87	5
88	10
89	7
90	7
91	5
92	3
93	8
94	10
95	7
96	5
97	9
98	7
99	4
100	5