A376497 - cp's OEIS frontend

A376497 a(n) is the maximum number of points from the set {(prime(k), prime(k+1)), k = 1..n} belonging to a straight line passing through the point (prime(n), prime(n+1)) (where prime(k) denotes the k-th prime number).

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

[1, 2, 2, 2, 3, 2, 4, 3, 3, 5, 2, 4, 6, 5, 3, 4, 7, 5, 6, 8, 6, 7, 7, 3, 8, 9, 9, 10, 10, 3, 11, 8, 11, 3, 12, 9, 10, 12, 11, 12, 13, 3, 14, 13, 15, 3, 2, 14, 16, 15, 13, 17, 3, 14, 15, 16, 18, 17, 16, 19, 4, 4, 17, 20, 18, 3, 18, 5, 21, 19, 19, 3, 20, 21, 20]

cp's OEIS Frontend

A376497 a(n) is the maximum number of points from the set {(prime(k), prime(k+1)), k = 1..n} belonging to a straight line passing through the point (prime(n), prime(n+1)) (where prime(k) denotes the k-th prime number).

Table of values

List of values

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

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

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