A354367 - cp's OEIS frontend

A354367 Successive pairs of terms (a, b) such that (a + b) is a square and at least one of a and b is a prime number. This is the lexicographically earliest infinite sequence of distinct terms > 0 with this property.

n	a(n)
1	1
2	3
3	2
4	7
5	4
6	5
7	6
8	19
9	8
10	17
11	10
12	71
13	11
14	14
15	12
16	13
17	15
18	181
19	18
20	31
21	20
22	29
23	21
24	43
25	22
26	59
27	23
28	26
29	24
30	97
31	27
32	37
33	28
34	53
35	30
36	139
37	32
38	89
39	33
40	67
41	34
42	47
43	35
44	109
45	38
46	83
47	39
48	61
49	40
50	41
51	42
52	79
53	44
54	317
55	45
56	151
57	46
58	179
59	48
60	73
61	50
62	239
63	51
64	349
65	52
66	173
67	54
68	307
69	55
70	269
71	56
72	113
73	57
74	199
75	58

[1, 3, 2, 7, 4, 5, 6, 19, 8, 17, 10, 71, 11, 14, 12, 13, 15, 181, 18, 31, 20, 29, 21, 43, 22, 59, 23, 26, 24, 97, 27, 37, 28, 53, 30, 139, 32, 89, 33, 67, 34, 47, 35, 109, 38, 83, 39, 61, 40, 41, 42, 79, 44, 317, 45, 151, 46, 179, 48, 73, 50, 239, 51, 349, 52, 173, 54, 307, 55, 269, 56, 113, 57, 199, 58]

cp's OEIS Frontend

A354367 Successive pairs of terms (a, b) such that (a + b) is a square and at least one of a and b is a prime number. This is the lexicographically earliest infinite sequence of distinct terms > 0 with this property.

Table of values

List of values

n	a(n)
1	1
2	3
3	2
4	7
5	4
6	5
7	6
8	19
9	8
10	17
11	10
12	71
13	11
14	14
15	12
16	13
17	15
18	181
19	18
20	31
21	20
22	29
23	21
24	43
25	22
26	59
27	23
28	26
29	24
30	97
31	27
32	37
33	28
34	53
35	30
36	139
37	32
38	89
39	33
40	67
41	34
42	47
43	35
44	109
45	38
46	83
47	39
48	61
49	40
50	41
51	42
52	79
53	44
54	317
55	45
56	151
57	46
58	179
59	48
60	73
61	50
62	239
63	51
64	349
65	52
66	173
67	54
68	307
69	55
70	269
71	56
72	113
73	57
74	199
75	58

n	a(n)
1	1
2	3
3	2
4	7
5	4
6	5
7	6
8	19
9	8
10	17
11	10
12	71
13	11
14	14
15	12
16	13
17	15
18	181
19	18
20	31
21	20
22	29
23	21
24	43
25	22
26	59
27	23
28	26
29	24
30	97
31	27
32	37
33	28
34	53
35	30
36	139
37	32
38	89
39	33
40	67
41	34
42	47
43	35
44	109
45	38
46	83
47	39
48	61
49	40
50	41
51	42
52	79
53	44
54	317
55	45
56	151
57	46
58	179
59	48
60	73
61	50
62	239
63	51
64	349
65	52
66	173
67	54
68	307
69	55
70	269
71	56
72	113
73	57
74	199
75	58

n	a(n)
1	1
2	3
3	2
4	7
5	4
6	5
7	6
8	19
9	8
10	17
11	10
12	71
13	11
14	14
15	12
16	13
17	15
18	181
19	18
20	31
21	20
22	29
23	21
24	43
25	22
26	59
27	23
28	26
29	24
30	97
31	27
32	37
33	28
34	53
35	30
36	139
37	32
38	89
39	33
40	67
41	34
42	47
43	35
44	109
45	38
46	83
47	39
48	61
49	40
50	41
51	42
52	79
53	44
54	317
55	45
56	151
57	46
58	179
59	48
60	73
61	50
62	239
63	51
64	349
65	52
66	173
67	54
68	307
69	55
70	269
71	56
72	113
73	57
74	199
75	58