A379002 - cp's OEIS frontend

A379002 Lexicographically earliest infinite sequence such that a(i) = a(j) => A046523(i) = A046523(j) and A112765(i) = A112765(j), for all i, j, where A046523 gives the least representative of the prime signature of n and A112765 gives the 5-adic valuation of n.

n	a(n)
1	1
2	2
3	2
4	3
5	4
6	5
7	2
8	6
9	3
10	7
11	2
12	8
13	2
14	5
15	7
16	9
17	2
18	8
19	2
20	10
21	5
22	5
23	2
24	11
25	12
26	5
27	6
28	8
29	2
30	13
31	2
32	14
33	5
34	5
35	7
36	15
37	2
38	5
39	5
40	16
41	2
42	17
43	2
44	8
45	10
46	5
47	2
48	18
49	3
50	19
51	5
52	8
53	2
54	11
55	7
56	11
57	5
58	5
59	2
60	20
61	2
62	5
63	8
64	21
65	7
66	17
67	2
68	8
69	5
70	13
71	2
72	22
73	2
74	5
75	19
76	8
77	5
78	17
79	2
80	23
81	9
82	5
83	2
84	24
85	7
86	5
87	5
88	11
89	2
90	20
91	5
92	8
93	5
94	5
95	7
96	25
97	2
98	8
99	8
100	26
101	2
102	17
103	2
104	11
105	13

[1, 2, 2, 3, 4, 5, 2, 6, 3, 7, 2, 8, 2, 5, 7, 9, 2, 8, 2, 10, 5, 5, 2, 11, 12, 5, 6, 8, 2, 13, 2, 14, 5, 5, 7, 15, 2, 5, 5, 16, 2, 17, 2, 8, 10, 5, 2, 18, 3, 19, 5, 8, 2, 11, 7, 11, 5, 5, 2, 20, 2, 5, 8, 21, 7, 17, 2, 8, 5, 13, 2, 22, 2, 5, 19, 8, 5, 17, 2, 23, 9, 5, 2, 24, 7, 5, 5, 11, 2, 20, 5, 8, 5, 5, 7, 25, 2, 8, 8, 26, 2, 17, 2, 11, 13]

cp's OEIS Frontend

A379002 Lexicographically earliest infinite sequence such that a(i) = a(j) => A046523(i) = A046523(j) and A112765(i) = A112765(j), for all i, j, where A046523 gives the least representative of the prime signature of n and A112765 gives the 5-adic valuation of n.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	3
5	4
6	5
7	2
8	6
9	3
10	7
11	2
12	8
13	2
14	5
15	7
16	9
17	2
18	8
19	2
20	10
21	5
22	5
23	2
24	11
25	12
26	5
27	6
28	8
29	2
30	13
31	2
32	14
33	5
34	5
35	7
36	15
37	2
38	5
39	5
40	16
41	2
42	17
43	2
44	8
45	10
46	5
47	2
48	18
49	3
50	19
51	5
52	8
53	2
54	11
55	7
56	11
57	5
58	5
59	2
60	20
61	2
62	5
63	8
64	21
65	7
66	17
67	2
68	8
69	5
70	13
71	2
72	22
73	2
74	5
75	19
76	8
77	5
78	17
79	2
80	23
81	9
82	5
83	2
84	24
85	7
86	5
87	5
88	11
89	2
90	20
91	5
92	8
93	5
94	5
95	7
96	25
97	2
98	8
99	8
100	26
101	2
102	17
103	2
104	11
105	13

n	a(n)
1	1
2	2
3	2
4	3
5	4
6	5
7	2
8	6
9	3
10	7
11	2
12	8
13	2
14	5
15	7
16	9
17	2
18	8
19	2
20	10
21	5
22	5
23	2
24	11
25	12
26	5
27	6
28	8
29	2
30	13
31	2
32	14
33	5
34	5
35	7
36	15
37	2
38	5
39	5
40	16
41	2
42	17
43	2
44	8
45	10
46	5
47	2
48	18
49	3
50	19
51	5
52	8
53	2
54	11
55	7
56	11
57	5
58	5
59	2
60	20
61	2
62	5
63	8
64	21
65	7
66	17
67	2
68	8
69	5
70	13
71	2
72	22
73	2
74	5
75	19
76	8
77	5
78	17
79	2
80	23
81	9
82	5
83	2
84	24
85	7
86	5
87	5
88	11
89	2
90	20
91	5
92	8
93	5
94	5
95	7
96	25
97	2
98	8
99	8
100	26
101	2
102	17
103	2
104	11
105	13

n	a(n)
1	1
2	2
3	2
4	3
5	4
6	5
7	2
8	6
9	3
10	7
11	2
12	8
13	2
14	5
15	7
16	9
17	2
18	8
19	2
20	10
21	5
22	5
23	2
24	11
25	12
26	5
27	6
28	8
29	2
30	13
31	2
32	14
33	5
34	5
35	7
36	15
37	2
38	5
39	5
40	16
41	2
42	17
43	2
44	8
45	10
46	5
47	2
48	18
49	3
50	19
51	5
52	8
53	2
54	11
55	7
56	11
57	5
58	5
59	2
60	20
61	2
62	5
63	8
64	21
65	7
66	17
67	2
68	8
69	5
70	13
71	2
72	22
73	2
74	5
75	19
76	8
77	5
78	17
79	2
80	23
81	9
82	5
83	2
84	24
85	7
86	5
87	5
88	11
89	2
90	20
91	5
92	8
93	5
94	5
95	7
96	25
97	2
98	8
99	8
100	26
101	2
102	17
103	2
104	11
105	13