A373250 - cp's OEIS frontend

A373250 Lexicographically earliest infinite sequence such that a(i) = a(j) => A181819(i) = A181819(j) and i mod A181819(i) = j mod A181819(j), for all i, j >= 1, where A181819 is the prime shadow of n.

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

[1, 2, 3, 4, 3, 5, 3, 6, 7, 5, 3, 8, 3, 5, 9, 10, 3, 8, 3, 11, 12, 5, 3, 13, 4, 5, 14, 15, 3, 16, 3, 17, 12, 5, 9, 18, 3, 5, 9, 19, 3, 20, 3, 11, 21, 5, 3, 22, 4, 11, 9, 15, 3, 13, 9, 23, 12, 5, 3, 24, 3, 5, 21, 25, 12, 20, 3, 11, 12, 16, 3, 26, 3, 5, 21, 15, 12, 16, 3, 27, 28, 5, 3, 24, 12, 5, 9, 29, 3, 30, 9, 11, 12, 5, 9, 31, 3, 11, 21]

cp's OEIS Frontend

A373250 Lexicographically earliest infinite sequence such that a(i) = a(j) => A181819(i) = A181819(j) and i mod A181819(i) = j mod A181819(j), for all i, j >= 1, where A181819 is the prime shadow of n.

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

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

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