A323374 - cp's OEIS frontend

A323374 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j) where f(n) = A323373(n) for all other numbers, except f(p) = -(p mod 2) for primes p.

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

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

cp's OEIS Frontend

A323374 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j) where f(n) = A323373(n) for all other numbers, except f(p) = -(p mod 2) for primes p.

Table of values

List of values

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

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

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