A322592 - cp's OEIS frontend

A322592 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) = A289625(n) for any other number.

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

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

cp's OEIS Frontend

A322592 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) = A289625(n) for any other number.

Table of values

List of values

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

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

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