A145281 - cp's OEIS frontend

A145281 a(n) is the least prime such that (ceiling(sqrt(a(n)p_n)))^2 - a(n)p_n is a perfect square, where p_n is the n-th prime.

n	a(n)
1	2
2	3
3	3
4	3
5	5
6	5
7	11
8	11
9	13
10	17
11	19
12	23
13	29
14	29
15	31
16	37
17	41
18	41
19	47
20	53
21	53
22	59
23	61
24	67
25	73
26	79
27	79
28	83
29	83
30	89
31	101
32	101
33	107
34	109
35	127
36	127
37	127
38	131
39	137
40	139
41	149
42	149
43	157
44	157
45	163
46	163
47	173
48	191
49	191
50	191
51	193
52	199
53	211
54	211
55	223
56	223
57	227
58	227
59	233
60	239

[2, 3, 3, 3, 5, 5, 11, 11, 13, 17, 19, 23, 29, 29, 31, 37, 41, 41, 47, 53, 53, 59, 61, 67, 73, 79, 79, 83, 83, 89, 101, 101, 107, 109, 127, 127, 127, 131, 137, 139, 149, 149, 157, 157, 163, 163, 173, 191, 191, 191, 193, 199, 211, 211, 223, 223, 227, 227, 233, 239]

cp's OEIS Frontend

A145281 a(n) is the least prime such that (ceiling(sqrt(a(n)p_n)))^2 - a(n)p_n is a perfect square, where p_n is the n-th prime.

Table of values

List of values

n	a(n)
1	2
2	3
3	3
4	3
5	5
6	5
7	11
8	11
9	13
10	17
11	19
12	23
13	29
14	29
15	31
16	37
17	41
18	41
19	47
20	53
21	53
22	59
23	61
24	67
25	73
26	79
27	79
28	83
29	83
30	89
31	101
32	101
33	107
34	109
35	127
36	127
37	127
38	131
39	137
40	139
41	149
42	149
43	157
44	157
45	163
46	163
47	173
48	191
49	191
50	191
51	193
52	199
53	211
54	211
55	223
56	223
57	227
58	227
59	233
60	239

n	a(n)
1	2
2	3
3	3
4	3
5	5
6	5
7	11
8	11
9	13
10	17
11	19
12	23
13	29
14	29
15	31
16	37
17	41
18	41
19	47
20	53
21	53
22	59
23	61
24	67
25	73
26	79
27	79
28	83
29	83
30	89
31	101
32	101
33	107
34	109
35	127
36	127
37	127
38	131
39	137
40	139
41	149
42	149
43	157
44	157
45	163
46	163
47	173
48	191
49	191
50	191
51	193
52	199
53	211
54	211
55	223
56	223
57	227
58	227
59	233
60	239

cp's OEIS Frontend

A145281 a(n) is the least prime such that (ceiling(sqrt(a(n)*p_n)))^2 - a(n)*p_n is a perfect square, where p_n is the n-th prime.

Table of values

List of values

A145281 a(n) is the least prime such that (ceiling(sqrt(a(n)p_n)))^2 - a(n)p_n is a perfect square, where p_n is the n-th prime.

n	a(n)
1	2
2	3
3	3
4	3
5	5
6	5
7	11
8	11
9	13
10	17
11	19
12	23
13	29
14	29
15	31
16	37
17	41
18	41
19	47
20	53
21	53
22	59
23	61
24	67
25	73
26	79
27	79
28	83
29	83
30	89
31	101
32	101
33	107
34	109
35	127
36	127
37	127
38	131
39	137
40	139
41	149
42	149
43	157
44	157
45	163
46	163
47	173
48	191
49	191
50	191
51	193
52	199
53	211
54	211
55	223
56	223
57	227
58	227
59	233
60	239