A361372 - cp's OEIS frontend

A361372 Lexicographically earliest sequence of distinct positive numbers such that the number of occurrences of each prime number in the factorization of all terms a(1)..a(n) is at most one more than the number of occurrences of the next most frequently occurring prime.

n	a(n)
1	1
2	2
3	3
4	5
5	6
6	7
7	10
8	9
9	11
10	13
11	17
12	19
13	23
14	29
15	31
16	35
17	4
18	37
19	41
20	43
21	47
22	53
23	59
24	61
25	67
26	71
27	73
28	77
29	15
30	26
31	79
32	83
33	89
34	91
35	21
36	34
37	97
38	101
39	103
40	107
41	109
42	113
43	121
44	25
45	57
46	38
47	127
48	131
49	137
50	139
51	143
52	49
53	14
54	149
55	151
56	157
57	163
58	167
59	173
60	179
61	181
62	191
63	193
64	197
65	199
66	211
67	223
68	227
69	229

[1, 2, 3, 5, 6, 7, 10, 9, 11, 13, 17, 19, 23, 29, 31, 35, 4, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 77, 15, 26, 79, 83, 89, 91, 21, 34, 97, 101, 103, 107, 109, 113, 121, 25, 57, 38, 127, 131, 137, 139, 143, 49, 14, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229]

cp's OEIS Frontend

A361372 Lexicographically earliest sequence of distinct positive numbers such that the number of occurrences of each prime number in the factorization of all terms a(1)..a(n) is at most one more than the number of occurrences of the next most frequently occurring prime.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	5
5	6
6	7
7	10
8	9
9	11
10	13
11	17
12	19
13	23
14	29
15	31
16	35
17	4
18	37
19	41
20	43
21	47
22	53
23	59
24	61
25	67
26	71
27	73
28	77
29	15
30	26
31	79
32	83
33	89
34	91
35	21
36	34
37	97
38	101
39	103
40	107
41	109
42	113
43	121
44	25
45	57
46	38
47	127
48	131
49	137
50	139
51	143
52	49
53	14
54	149
55	151
56	157
57	163
58	167
59	173
60	179
61	181
62	191
63	193
64	197
65	199
66	211
67	223
68	227
69	229

n	a(n)
1	1
2	2
3	3
4	5
5	6
6	7
7	10
8	9
9	11
10	13
11	17
12	19
13	23
14	29
15	31
16	35
17	4
18	37
19	41
20	43
21	47
22	53
23	59
24	61
25	67
26	71
27	73
28	77
29	15
30	26
31	79
32	83
33	89
34	91
35	21
36	34
37	97
38	101
39	103
40	107
41	109
42	113
43	121
44	25
45	57
46	38
47	127
48	131
49	137
50	139
51	143
52	49
53	14
54	149
55	151
56	157
57	163
58	167
59	173
60	179
61	181
62	191
63	193
64	197
65	199
66	211
67	223
68	227
69	229

n	a(n)
1	1
2	2
3	3
4	5
5	6
6	7
7	10
8	9
9	11
10	13
11	17
12	19
13	23
14	29
15	31
16	35
17	4
18	37
19	41
20	43
21	47
22	53
23	59
24	61
25	67
26	71
27	73
28	77
29	15
30	26
31	79
32	83
33	89
34	91
35	21
36	34
37	97
38	101
39	103
40	107
41	109
42	113
43	121
44	25
45	57
46	38
47	127
48	131
49	137
50	139
51	143
52	49
53	14
54	149
55	151
56	157
57	163
58	167
59	173
60	179
61	181
62	191
63	193
64	197
65	199
66	211
67	223
68	227
69	229