A373251 - cp's OEIS frontend

A373251 Lexicographically earliest infinite sequence such that a(i) = a(j) => A181819(i) = A181819(j), i mod A181819(i) = j mod A181819(j), and gcd(i,A276086(i)) = gcd(j,A276086(j)), for all i, j >= 1, where A181819 is the prime shadow of n, and A276086 is the primorial base exp-function.

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

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

cp's OEIS Frontend

A373251 Lexicographically earliest infinite sequence such that a(i) = a(j) => A181819(i) = A181819(j), i mod A181819(i) = j mod A181819(j), and gcd(i,A276086(i)) = gcd(j,A276086(j)), for all i, j >= 1, where A181819 is the prime shadow of n, and A276086 is the primorial base exp-function.

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

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

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