A322588 - cp's OEIS frontend

A322588 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) = A291750(n) for any other number.

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

[1, 2, 3, 4, 3, 5, 3, 6, 7, 8, 3, 9, 3, 10, 10, 11, 3, 12, 3, 13, 14, 15, 3, 16, 17, 18, 19, 20, 3, 21, 3, 22, 23, 24, 23, 25, 3, 26, 27, 28, 3, 29, 3, 30, 31, 21, 3, 32, 33, 34, 21, 35, 3, 36, 21, 37, 38, 39, 3, 40, 3, 29, 41, 42, 43, 44, 3, 45, 29, 44, 3, 46, 3, 47, 48, 49, 29, 50, 3, 51, 52, 53, 3, 54, 55, 56, 57, 58, 3, 59, 60, 40, 61, 44, 57, 62, 3, 63, 64, 65, 3, 66, 3]

cp's OEIS Frontend

A322588 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) = A291750(n) for any other number.

Table of values

List of values

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

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

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