A362663 - cp's OEIS frontend

A362663 a(n) is the partial sum of b(n), which is defined to be the difference between the numbers of primes in (n^2, n^2 + n] and in (n^2 - n, n^2].

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

[1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 6, 6, 6, 6, 8, 10, 8, 6, 5, 5, 5, 6, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 7, 7, 7, 9, 10, 10, 10, 13, 14, 13, 16, 15, 14, 14, 17, 17, 15, 17, 17, 16, 16, 18, 18, 20, 22, 18, 19, 19, 18, 19, 17, 19, 25, 27, 27, 30, 31, 37, 35, 35, 34, 34]

cp's OEIS Frontend

A362663 a(n) is the partial sum of b(n), which is defined to be the difference between the numbers of primes in (n^2, n^2 + n] and in (n^2 - n, n^2].

Table of values

List of values

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

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

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