A145236 - cp's OEIS frontend

A145236 a(n) is the least positive integer such that if p_n is the n-th prime then (ceiling(sqrt(a(n)p_n)))^2 - a(n)p_n is a perfect square.

n	a(n)
1	2
2	1
3	1
4	3
5	5
6	5
7	9
8	9
9	13
10	17
11	19
12	23
13	25
14	27
15	31
16	35
17	41
18	41
19	47
20	51
21	51
22	57
23	61
24	65
25	73
26	75
27	77
28	81
29	83
30	85
31	99
32	101
33	107
34	109
35	117
36	119
37	125
38	129
39	133
40	139
41	145
42	145
43	155
44	157
45	161
46	163
47	173
48	183
49	187
50	189
51	193
52	199
53	201
54	209
55	215
56	221
57	225
58	227
59	233
60	237
61	239
62	247

[2, 1, 1, 3, 5, 5, 9, 9, 13, 17, 19, 23, 25, 27, 31, 35, 41, 41, 47, 51, 51, 57, 61, 65, 73, 75, 77, 81, 83, 85, 99, 101, 107, 109, 117, 119, 125, 129, 133, 139, 145, 145, 155, 157, 161, 163, 173, 183, 187, 189, 193, 199, 201, 209, 215, 221, 225, 227, 233, 237, 239, 247]

cp's OEIS Frontend

A145236 a(n) is the least positive integer such that if p_n is the n-th prime then (ceiling(sqrt(a(n)p_n)))^2 - a(n)p_n is a perfect square.

Table of values

List of values

n	a(n)
1	2
2	1
3	1
4	3
5	5
6	5
7	9
8	9
9	13
10	17
11	19
12	23
13	25
14	27
15	31
16	35
17	41
18	41
19	47
20	51
21	51
22	57
23	61
24	65
25	73
26	75
27	77
28	81
29	83
30	85
31	99
32	101
33	107
34	109
35	117
36	119
37	125
38	129
39	133
40	139
41	145
42	145
43	155
44	157
45	161
46	163
47	173
48	183
49	187
50	189
51	193
52	199
53	201
54	209
55	215
56	221
57	225
58	227
59	233
60	237
61	239
62	247

n	a(n)
1	2
2	1
3	1
4	3
5	5
6	5
7	9
8	9
9	13
10	17
11	19
12	23
13	25
14	27
15	31
16	35
17	41
18	41
19	47
20	51
21	51
22	57
23	61
24	65
25	73
26	75
27	77
28	81
29	83
30	85
31	99
32	101
33	107
34	109
35	117
36	119
37	125
38	129
39	133
40	139
41	145
42	145
43	155
44	157
45	161
46	163
47	173
48	183
49	187
50	189
51	193
52	199
53	201
54	209
55	215
56	221
57	225
58	227
59	233
60	237
61	239
62	247

cp's OEIS Frontend

A145236 a(n) is the least positive integer such that if p_n is the n-th prime then (ceiling(sqrt(a(n)*p_n)))^2 - a(n)*p_n is a perfect square.

Table of values

List of values

A145236 a(n) is the least positive integer such that if p_n is the n-th prime then (ceiling(sqrt(a(n)p_n)))^2 - a(n)p_n is a perfect square.

n	a(n)
1	2
2	1
3	1
4	3
5	5
6	5
7	9
8	9
9	13
10	17
11	19
12	23
13	25
14	27
15	31
16	35
17	41
18	41
19	47
20	51
21	51
22	57
23	61
24	65
25	73
26	75
27	77
28	81
29	83
30	85
31	99
32	101
33	107
34	109
35	117
36	119
37	125
38	129
39	133
40	139
41	145
42	145
43	155
44	157
45	161
46	163
47	173
48	183
49	187
50	189
51	193
52	199
53	201
54	209
55	215
56	221
57	225
58	227
59	233
60	237
61	239
62	247