A234451 - cp's OEIS frontend

A234451 Number of ways to write n = k + m with k > 0 and m > 0 such that 2^(phi(k)/2 + phi(m)/6) + 3 is prime, where phi(.) is Euler's totient function.

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

[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 4, 4, 4, 3, 5, 4, 5, 4, 6, 4, 4, 5, 5, 5, 6, 6, 6, 5, 6, 8, 7, 6, 5, 7, 8, 7, 10, 6, 7, 9, 7, 5, 5, 8, 6, 6, 7, 9, 3, 7, 10, 9, 3, 8, 6, 8, 6, 9, 9, 12, 5, 8, 8, 10, 9, 10, 9, 8, 8, 8, 10, 9, 12, 10, 13, 11, 9, 10]

cp's OEIS Frontend

A234451 Number of ways to write n = k + m with k > 0 and m > 0 such that 2^(phi(k)/2 + phi(m)/6) + 3 is prime, where phi(.) is Euler's totient function.

Table of values

List of values

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

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

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