A066927 - cp's OEIS frontend

A066927 Least k such that between p and 2p, for all primes > 3, there is always a number that is twice a square, i.e.; a k such that p < 2k^2 < 2p.

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

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

cp's OEIS Frontend

A066927 Least k such that between p and 2p, for all primes > 3, there is always a number that is twice a square, i.e.; a k such that p < 2k^2 < 2p.

Table of values

List of values

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

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

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