A237413 - cp's OEIS frontend

A237413 Number of ways to write n = k + m with k > 0 and m > 0 such that p(k)^2 - 2, p(m)^2 - 2 and p(p(m))^2 - 2 are all prime, where p(j) denotes the j-th prime.

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

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

cp's OEIS Frontend

A237413 Number of ways to write n = k + m with k > 0 and m > 0 such that p(k)^2 - 2, p(m)^2 - 2 and p(p(m))^2 - 2 are all prime, where p(j) denotes the j-th prime.

Table of values

List of values

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

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

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