A300903 - cp's OEIS frontend

A300903 a(n) is the smallest k such that k^2 - n^2 is a prime power (A000961), or 0 if no such k exists.

n	a(n)
0	1
1	2
2	3
3	4
4	5
5	6
6	7
7	9
8	9
9	10
10	15
11	12
12	13
13	14
14	15
15	16
16	48
17	0
18	19
19	0
20	21
21	22
22	0
23	24
24	25
25	0
26	27
27	54
28	36
29	30
30	31
31	33
32	96
33	34
34	0
35	36
36	37
37	0
38	0
39	40
40	41
41	42
42	0
43	0
44	45
45	0
46	0
47	0
48	49
49	0
50	51
51	52
52	0
53	54
54	55
55	66
56	57
57	0
58	0
59	0
60	61
61	0
62	63
63	64
64	192
65	66
66	0
67	0
68	69
69	70
70	0
71	0
72	0
73	0
74	75
75	76
76	0
77	0
78	79
79	0
80	0
81	82
82	0
83	84
84	85
85	0
86	87
87	0
88	0
89	90
90	91
91	0
92	0
93	0
94	0
95	96
96	97

[1, 2, 3, 4, 5, 6, 7, 9, 9, 10, 15, 12, 13, 14, 15, 16, 48, 0, 19, 0, 21, 22, 0, 24, 25, 0, 27, 54, 36, 30, 31, 33, 96, 34, 0, 36, 37, 0, 0, 40, 41, 42, 0, 0, 45, 0, 0, 0, 49, 0, 51, 52, 0, 54, 55, 66, 57, 0, 0, 0, 61, 0, 63, 64, 192, 66, 0, 0, 69, 70, 0, 0, 0, 0, 75, 76, 0, 0, 79, 0, 0, 82, 0, 84, 85, 0, 87, 0, 0, 90, 91, 0, 0, 0, 0, 96, 97]

cp's OEIS Frontend

A300903 a(n) is the smallest k such that k^2 - n^2 is a prime power (A000961), or 0 if no such k exists.

Table of values

List of values

n	a(n)
0	1
1	2
2	3
3	4
4	5
5	6
6	7
7	9
8	9
9	10
10	15
11	12
12	13
13	14
14	15
15	16
16	48
17	0
18	19
19	0
20	21
21	22
22	0
23	24
24	25
25	0
26	27
27	54
28	36
29	30
30	31
31	33
32	96
33	34
34	0
35	36
36	37
37	0
38	0
39	40
40	41
41	42
42	0
43	0
44	45
45	0
46	0
47	0
48	49
49	0
50	51
51	52
52	0
53	54
54	55
55	66
56	57
57	0
58	0
59	0
60	61
61	0
62	63
63	64
64	192
65	66
66	0
67	0
68	69
69	70
70	0
71	0
72	0
73	0
74	75
75	76
76	0
77	0
78	79
79	0
80	0
81	82
82	0
83	84
84	85
85	0
86	87
87	0
88	0
89	90
90	91
91	0
92	0
93	0
94	0
95	96
96	97

n	a(n)
0	1
1	2
2	3
3	4
4	5
5	6
6	7
7	9
8	9
9	10
10	15
11	12
12	13
13	14
14	15
15	16
16	48
17	0
18	19
19	0
20	21
21	22
22	0
23	24
24	25
25	0
26	27
27	54
28	36
29	30
30	31
31	33
32	96
33	34
34	0
35	36
36	37
37	0
38	0
39	40
40	41
41	42
42	0
43	0
44	45
45	0
46	0
47	0
48	49
49	0
50	51
51	52
52	0
53	54
54	55
55	66
56	57
57	0
58	0
59	0
60	61
61	0
62	63
63	64
64	192
65	66
66	0
67	0
68	69
69	70
70	0
71	0
72	0
73	0
74	75
75	76
76	0
77	0
78	79
79	0
80	0
81	82
82	0
83	84
84	85
85	0
86	87
87	0
88	0
89	90
90	91
91	0
92	0
93	0
94	0
95	96
96	97

n	a(n)
0	1
1	2
2	3
3	4
4	5
5	6
6	7
7	9
8	9
9	10
10	15
11	12
12	13
13	14
14	15
15	16
16	48
17	0
18	19
19	0
20	21
21	22
22	0
23	24
24	25
25	0
26	27
27	54
28	36
29	30
30	31
31	33
32	96
33	34
34	0
35	36
36	37
37	0
38	0
39	40
40	41
41	42
42	0
43	0
44	45
45	0
46	0
47	0
48	49
49	0
50	51
51	52
52	0
53	54
54	55
55	66
56	57
57	0
58	0
59	0
60	61
61	0
62	63
63	64
64	192
65	66
66	0
67	0
68	69
69	70
70	0
71	0
72	0
73	0
74	75
75	76
76	0
77	0
78	79
79	0
80	0
81	82
82	0
83	84
84	85
85	0
86	87
87	0
88	0
89	90
90	91
91	0
92	0
93	0
94	0
95	96
96	97