A322589 - cp's OEIS frontend

A322589 Lexicographically earliest such sequence a that for all i, j, a(i) = a(j) => f(i) = f(j), where f(n) = 0 for odd primes, and f(n) = A007913(n) for any other number.

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

[1, 2, 3, 1, 3, 4, 3, 2, 1, 5, 3, 6, 3, 7, 8, 1, 3, 2, 3, 9, 10, 11, 3, 4, 1, 12, 6, 13, 3, 14, 3, 2, 15, 16, 17, 1, 3, 18, 19, 5, 3, 20, 3, 21, 9, 22, 3, 6, 1, 2, 23, 24, 3, 4, 25, 7, 26, 27, 3, 8, 3, 28, 13, 1, 29, 30, 3, 31, 32, 33, 3, 2, 3, 34, 6, 35, 36, 37, 3, 9, 1, 38, 3, 10, 39, 40, 41, 11, 3, 5, 42, 43, 44, 45, 46, 4, 3, 2, 21, 1, 3, 47, 3, 12, 48]

cp's OEIS Frontend

A322589 Lexicographically earliest such sequence a that for all i, j, a(i) = a(j) => f(i) = f(j), where f(n) = 0 for odd primes, and f(n) = A007913(n) for any other number.

Table of values

List of values

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

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

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