A354732 - cp's OEIS frontend

A354732 Lexicographically earliest infinite sequence of distinct positive integers such that in any run of four consecutive terms there is only one pair of terms which share a prime divisor, the rest are all pairwise coprime.

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

[1, 2, 3, 4, 5, 8, 7, 6, 11, 9, 13, 12, 17, 10, 19, 14, 23, 16, 15, 21, 29, 22, 20, 27, 31, 25, 18, 24, 37, 35, 26, 32, 33, 41, 28, 34, 39, 43, 38, 40, 47, 49, 30, 36, 53, 59, 42, 44, 61, 65, 45, 46, 67, 51, 50, 52, 71, 57, 56, 58, 55, 69, 62, 63, 73, 64, 68, 75, 77]

cp's OEIS Frontend

A354732 Lexicographically earliest infinite sequence of distinct positive integers such that in any run of four consecutive terms there is only one pair of terms which share a prime divisor, the rest are all pairwise coprime.

Table of values

List of values

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

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

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