A330556 - cp's OEIS frontend

A330556 a(n) = (number of primes p <= 2n+1 with Delta(p) == 2 mod 4) - (number of primes p <= 2n+1 with Delta(p) == 0 mod 4), where Delta(p) = nextprime(p) - p.

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

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

cp's OEIS Frontend

A330556 a(n) = (number of primes p <= 2n+1 with Delta(p) == 2 mod 4) - (number of primes p <= 2n+1 with Delta(p) == 0 mod 4), where Delta(p) = nextprime(p) - p.

Table of values

List of values

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

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

cp's OEIS Frontend

A330556 a(n) = (number of primes p <= 2*n+1 with Delta(p) == 2 mod 4) - (number of primes p <= 2*n+1 with Delta(p) == 0 mod 4), where Delta(p) = nextprime(p) - p.

Table of values

List of values

A330556 a(n) = (number of primes p <= 2n+1 with Delta(p) == 2 mod 4) - (number of primes p <= 2n+1 with Delta(p) == 0 mod 4), where Delta(p) = nextprime(p) - p.

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