A375005 - cp's OEIS frontend

A375005 Lexicographically earliest infinite sequence of distinct positive integers such that two consecutive terms always have some common prime factor and for any prime number p, any run of consecutive multiples of p has length exactly 2.

n	a(n)
1	2
2	6
3	15
4	10
5	12
6	21
7	14
8	18
9	33
10	22
11	20
12	35
13	28
14	24
15	39
16	26
17	30
18	105
19	56
20	34
21	51
22	36
23	38
24	57
25	42
26	70
27	45
28	48
29	40
30	55
31	44
32	46
33	69
34	54
35	50
36	65
37	52
38	58
39	87
40	60
41	110
42	77
43	63
44	66
45	154
46	91
47	78
48	84
49	119
50	68
51	62
52	93
53	72
54	74
55	111
56	75
57	80
58	76
59	95
60	85
61	102
62	90
63	115
64	92

[2, 6, 15, 10, 12, 21, 14, 18, 33, 22, 20, 35, 28, 24, 39, 26, 30, 105, 56, 34, 51, 36, 38, 57, 42, 70, 45, 48, 40, 55, 44, 46, 69, 54, 50, 65, 52, 58, 87, 60, 110, 77, 63, 66, 154, 91, 78, 84, 119, 68, 62, 93, 72, 74, 111, 75, 80, 76, 95, 85, 102, 90, 115, 92]

cp's OEIS Frontend

A375005 Lexicographically earliest infinite sequence of distinct positive integers such that two consecutive terms always have some common prime factor and for any prime number p, any run of consecutive multiples of p has length exactly 2.

Table of values

List of values

n	a(n)
1	2
2	6
3	15
4	10
5	12
6	21
7	14
8	18
9	33
10	22
11	20
12	35
13	28
14	24
15	39
16	26
17	30
18	105
19	56
20	34
21	51
22	36
23	38
24	57
25	42
26	70
27	45
28	48
29	40
30	55
31	44
32	46
33	69
34	54
35	50
36	65
37	52
38	58
39	87
40	60
41	110
42	77
43	63
44	66
45	154
46	91
47	78
48	84
49	119
50	68
51	62
52	93
53	72
54	74
55	111
56	75
57	80
58	76
59	95
60	85
61	102
62	90
63	115
64	92

n	a(n)
1	2
2	6
3	15
4	10
5	12
6	21
7	14
8	18
9	33
10	22
11	20
12	35
13	28
14	24
15	39
16	26
17	30
18	105
19	56
20	34
21	51
22	36
23	38
24	57
25	42
26	70
27	45
28	48
29	40
30	55
31	44
32	46
33	69
34	54
35	50
36	65
37	52
38	58
39	87
40	60
41	110
42	77
43	63
44	66
45	154
46	91
47	78
48	84
49	119
50	68
51	62
52	93
53	72
54	74
55	111
56	75
57	80
58	76
59	95
60	85
61	102
62	90
63	115
64	92

n	a(n)
1	2
2	6
3	15
4	10
5	12
6	21
7	14
8	18
9	33
10	22
11	20
12	35
13	28
14	24
15	39
16	26
17	30
18	105
19	56
20	34
21	51
22	36
23	38
24	57
25	42
26	70
27	45
28	48
29	40
30	55
31	44
32	46
33	69
34	54
35	50
36	65
37	52
38	58
39	87
40	60
41	110
42	77
43	63
44	66
45	154
46	91
47	78
48	84
49	119
50	68
51	62
52	93
53	72
54	74
55	111
56	75
57	80
58	76
59	95
60	85
61	102
62	90
63	115
64	92