A373594 - cp's OEIS frontend

A373594 Lexicographically earliest infinite sequence such that for all i, j >= 1, a(i) = a(j) => f(i) = f(j), where f(n<=3) = n, f(p) = 0 for primes p > 3, and for composite n, f(n) = [A007814(n), A065339(n), A083025(n), A373591(n), A373592(n)].

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

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

cp's OEIS Frontend

A373594 Lexicographically earliest infinite sequence such that for all i, j >= 1, a(i) = a(j) => f(i) = f(j), where f(n<=3) = n, f(p) = 0 for primes p > 3, and for composite n, f(n) = [A007814(n), A065339(n), A083025(n), A373591(n), A373592(n)].

Table of values

List of values

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

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

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