A233567 - cp's OEIS frontend

A233567 Number of ways to write n = p + q (q > 0) with p and p^4 + phi(q)^4 both prime, where phi(.) is Euler's totient function (A000010).

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

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

cp's OEIS Frontend

A233567 Number of ways to write n = p + q (q > 0) with p and p^4 + phi(q)^4 both prime, where phi(.) is Euler's totient function (A000010).

Table of values

List of values

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

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

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