A322587 - cp's OEIS frontend

A322587 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) = A291756(n) [equally: A295887(n)] for any other number.

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

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

cp's OEIS Frontend

A322587 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) = A291756(n) [equally: A295887(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	4
7	2
8	5
9	6
10	7
11	2
12	8
13	2
14	9
15	10
16	11
17	2
18	6
19	2
20	12
21	13
22	14
23	2
24	15
25	16
26	13
27	17
28	18
29	2
30	10
31	2
32	19
33	20
34	21
35	22
36	23
37	2
38	24
39	22
40	25
41	2
42	13
43	2
44	26
45	27
46	28
47	2
48	29
49	30
50	16
51	31
52	32
53	2
54	17
55	33
56	34
57	35
58	36
59	2
60	37
61	2
62	38
63	39
64	40
65	41
66	20
67	2
68	42
69	43
70	22
71	2
72	44
73	2
74	35
75	45
76	46
77	47
78	22
79	2
80	48
81	49
82	33
83	2
84	32
85	50
86	51
87	52
88	53
89	2
90	27
91	54
92	55
93	47
94	56
95	54
96	57
97	2
98	30
99	58
100	59
101	2
102	31
103	2
104	60
105	41

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

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