A234503 - cp's OEIS frontend

A234503 Number of ways to write n = k + m with k > 0 and m > 0 such that 3^(phi(k)/2 + phi(m)/12) + 2 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	1
9	1
10	1
11	1
12	0
13	0
14	0
15	1
16	2
17	1
18	1
19	2
20	3
21	2
22	1
23	1
24	1
25	2
26	1
27	2
28	2
29	3
30	2
31	4
32	4
33	4
34	2
35	3
36	2
37	1
38	3
39	4
40	8
41	3
42	4
43	4
44	4
45	6
46	3
47	4
48	6
49	3
50	5
51	5
52	3
53	2
54	2
55	6
56	5
57	3
58	2
59	3
60	7
61	4
62	3
63	4
64	4
65	3
66	4
67	4
68	4
69	5
70	2
71	5
72	2
73	6
74	5
75	7
76	3
77	5
78	7
79	6
80	13
81	5
82	7
83	7
84	10
85	6
86	8
87	8
88	9
89	6
90	7
91	8
92	6
93	6
94	5
95	7
96	9
97	6
98	7
99	8
100	10

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

cp's OEIS Frontend

A234503 Number of ways to write n = k + m with k > 0 and m > 0 such that 3^(phi(k)/2 + phi(m)/12) + 2 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	1
9	1
10	1
11	1
12	0
13	0
14	0
15	1
16	2
17	1
18	1
19	2
20	3
21	2
22	1
23	1
24	1
25	2
26	1
27	2
28	2
29	3
30	2
31	4
32	4
33	4
34	2
35	3
36	2
37	1
38	3
39	4
40	8
41	3
42	4
43	4
44	4
45	6
46	3
47	4
48	6
49	3
50	5
51	5
52	3
53	2
54	2
55	6
56	5
57	3
58	2
59	3
60	7
61	4
62	3
63	4
64	4
65	3
66	4
67	4
68	4
69	5
70	2
71	5
72	2
73	6
74	5
75	7
76	3
77	5
78	7
79	6
80	13
81	5
82	7
83	7
84	10
85	6
86	8
87	8
88	9
89	6
90	7
91	8
92	6
93	6
94	5
95	7
96	9
97	6
98	7
99	8
100	10

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

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