A233307 - cp's OEIS frontend

A233307 a(n) = |{0 < k < n: p(k)^2 + q(n-k)^2 is prime}|, where p(.) is the partition function (A000041) and q(.) is the strict partition function (A000009).

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

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

cp's OEIS Frontend

A233307 a(n) = |{0 < k < n: p(k)^2 + q(n-k)^2 is prime}|, where p(.) is the partition function (A000041) and q(.) is the strict partition function (A000009).

Table of values

List of values

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

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

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