A238457 - cp's OEIS frontend

A238457 a(n) = |{0 < k <= n: p(n) + k is prime}|, where p(.) is the partition function (A000041).

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

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

cp's OEIS Frontend

A238457 a(n) = |{0 < k <= n: p(n) + k is prime}|, where p(.) is the partition function (A000041).

Table of values

List of values

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

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

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