A234361 - cp's OEIS frontend

A234361 a(n) = |{0 < k < n: 2^{phi(k)/2}*3^{phi(n-k)/4} + 1 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	2
12	1
13	3
14	2
15	3
16	4
17	2
18	6
19	3
20	6
21	6
22	5
23	7
24	4
25	6
26	4
27	5
28	7
29	9
30	4
31	6
32	4
33	10
34	7
35	2
36	11
37	9
38	12
39	6
40	9
41	10
42	9
43	12
44	11
45	10
46	6
47	12
48	13
49	8
50	11
51	9
52	10
53	7
54	8
55	7
56	11
57	8
58	9
59	6
60	14
61	4
62	15
63	5
64	14
65	7
66	15
67	5
68	12
69	11
70	9
71	10
72	9
73	10
74	8
75	10
76	7
77	12
78	11
79	15
80	10

[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 2, 3, 4, 2, 6, 3, 6, 6, 5, 7, 4, 6, 4, 5, 7, 9, 4, 6, 4, 10, 7, 2, 11, 9, 12, 6, 9, 10, 9, 12, 11, 10, 6, 12, 13, 8, 11, 9, 10, 7, 8, 7, 11, 8, 9, 6, 14, 4, 15, 5, 14, 7, 15, 5, 12, 11, 9, 10, 9, 10, 8, 10, 7, 12, 11, 15, 10]

cp's OEIS Frontend

A234361 a(n) = |{0 < k < n: 2^{phi(k)/2}*3^{phi(n-k)/4} + 1 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	2
12	1
13	3
14	2
15	3
16	4
17	2
18	6
19	3
20	6
21	6
22	5
23	7
24	4
25	6
26	4
27	5
28	7
29	9
30	4
31	6
32	4
33	10
34	7
35	2
36	11
37	9
38	12
39	6
40	9
41	10
42	9
43	12
44	11
45	10
46	6
47	12
48	13
49	8
50	11
51	9
52	10
53	7
54	8
55	7
56	11
57	8
58	9
59	6
60	14
61	4
62	15
63	5
64	14
65	7
66	15
67	5
68	12
69	11
70	9
71	10
72	9
73	10
74	8
75	10
76	7
77	12
78	11
79	15
80	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	2
12	1
13	3
14	2
15	3
16	4
17	2
18	6
19	3
20	6
21	6
22	5
23	7
24	4
25	6
26	4
27	5
28	7
29	9
30	4
31	6
32	4
33	10
34	7
35	2
36	11
37	9
38	12
39	6
40	9
41	10
42	9
43	12
44	11
45	10
46	6
47	12
48	13
49	8
50	11
51	9
52	10
53	7
54	8
55	7
56	11
57	8
58	9
59	6
60	14
61	4
62	15
63	5
64	14
65	7
66	15
67	5
68	12
69	11
70	9
71	10
72	9
73	10
74	8
75	10
76	7
77	12
78	11
79	15
80	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	2
12	1
13	3
14	2
15	3
16	4
17	2
18	6
19	3
20	6
21	6
22	5
23	7
24	4
25	6
26	4
27	5
28	7
29	9
30	4
31	6
32	4
33	10
34	7
35	2
36	11
37	9
38	12
39	6
40	9
41	10
42	9
43	12
44	11
45	10
46	6
47	12
48	13
49	8
50	11
51	9
52	10
53	7
54	8
55	7
56	11
57	8
58	9
59	6
60	14
61	4
62	15
63	5
64	14
65	7
66	15
67	5
68	12
69	11
70	9
71	10
72	9
73	10
74	8
75	10
76	7
77	12
78	11
79	15
80	10