A322591 - cp's OEIS frontend

A322591 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 A007947(n) for any other number.

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

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

cp's OEIS Frontend

A322591 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 A007947(n) for any other number.

Table of values

List of values

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

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

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