A322816 - cp's OEIS frontend

A322816 Lexicographically earliest sequence such that a(i) = a(j) => f(i) = f(j) for all i, j, where f(n) = A048675(n) for all other numbers, except f(n) = -1 if n is an odd prime.

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

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

cp's OEIS Frontend

A322816 Lexicographically earliest sequence such that a(i) = a(j) => f(i) = f(j) for all i, j, where f(n) = A048675(n) for all other numbers, except f(n) = -1 if n is an odd prime.

Table of values

List of values

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

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

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