A356305 - cp's OEIS frontend

A356305 The least k >= 0 such that A003415(n) and A276086(n-k) are relatively prime, where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function.

n	a(n)
0	0
1	1
2	0
3	0
4	0
5	0
6	1
7	0
8	2
9	3
10	0
11	0
12	0
13	0
14	1
15	1
16	0
17	0
18	0
19	0
20	2
21	17
22	0
23	0
24	0
25	21
26	25
27	2
28	0
29	0
30	0
31	0
32	0
33	5
34	0
35	5
36	6
37	0
38	13
39	1
40	0
41	0
42	0
43	0
44	2
45	2
46	11
47	0
48	20
49	21
50	19
51	17
52	24
53	0
54	0
55	1
56	0
57	1
58	0
59	0
60	0
61	0
62	1
63	2
64	4
65	5
66	0
67	0
68	2
69	1
70	0
71	0
72	0
73	0
74	1
75	10
76	12
77	5
78	0
79	0
80	0
81	3
82	0
83	0
84	0
85	1
86	25
87	1
88	84
89	0
90	0
91	1
92	2
93	1
94	65
95	5
96	0
97	0
98	69
99	8
100	96

[0, 1, 0, 0, 0, 0, 1, 0, 2, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 17, 0, 0, 0, 21, 25, 2, 0, 0, 0, 0, 0, 5, 0, 5, 6, 0, 13, 1, 0, 0, 0, 0, 2, 2, 11, 0, 20, 21, 19, 17, 24, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 4, 5, 0, 0, 2, 1, 0, 0, 0, 0, 1, 10, 12, 5, 0, 0, 0, 3, 0, 0, 0, 1, 25, 1, 84, 0, 0, 1, 2, 1, 65, 5, 0, 0, 69, 8, 96]

cp's OEIS Frontend

A356305 The least k >= 0 such that A003415(n) and A276086(n-k) are relatively prime, where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function.

Table of values

List of values

n	a(n)
0	0
1	1
2	0
3	0
4	0
5	0
6	1
7	0
8	2
9	3
10	0
11	0
12	0
13	0
14	1
15	1
16	0
17	0
18	0
19	0
20	2
21	17
22	0
23	0
24	0
25	21
26	25
27	2
28	0
29	0
30	0
31	0
32	0
33	5
34	0
35	5
36	6
37	0
38	13
39	1
40	0
41	0
42	0
43	0
44	2
45	2
46	11
47	0
48	20
49	21
50	19
51	17
52	24
53	0
54	0
55	1
56	0
57	1
58	0
59	0
60	0
61	0
62	1
63	2
64	4
65	5
66	0
67	0
68	2
69	1
70	0
71	0
72	0
73	0
74	1
75	10
76	12
77	5
78	0
79	0
80	0
81	3
82	0
83	0
84	0
85	1
86	25
87	1
88	84
89	0
90	0
91	1
92	2
93	1
94	65
95	5
96	0
97	0
98	69
99	8
100	96

n	a(n)
0	0
1	1
2	0
3	0
4	0
5	0
6	1
7	0
8	2
9	3
10	0
11	0
12	0
13	0
14	1
15	1
16	0
17	0
18	0
19	0
20	2
21	17
22	0
23	0
24	0
25	21
26	25
27	2
28	0
29	0
30	0
31	0
32	0
33	5
34	0
35	5
36	6
37	0
38	13
39	1
40	0
41	0
42	0
43	0
44	2
45	2
46	11
47	0
48	20
49	21
50	19
51	17
52	24
53	0
54	0
55	1
56	0
57	1
58	0
59	0
60	0
61	0
62	1
63	2
64	4
65	5
66	0
67	0
68	2
69	1
70	0
71	0
72	0
73	0
74	1
75	10
76	12
77	5
78	0
79	0
80	0
81	3
82	0
83	0
84	0
85	1
86	25
87	1
88	84
89	0
90	0
91	1
92	2
93	1
94	65
95	5
96	0
97	0
98	69
99	8
100	96

n	a(n)
0	0
1	1
2	0
3	0
4	0
5	0
6	1
7	0
8	2
9	3
10	0
11	0
12	0
13	0
14	1
15	1
16	0
17	0
18	0
19	0
20	2
21	17
22	0
23	0
24	0
25	21
26	25
27	2
28	0
29	0
30	0
31	0
32	0
33	5
34	0
35	5
36	6
37	0
38	13
39	1
40	0
41	0
42	0
43	0
44	2
45	2
46	11
47	0
48	20
49	21
50	19
51	17
52	24
53	0
54	0
55	1
56	0
57	1
58	0
59	0
60	0
61	0
62	1
63	2
64	4
65	5
66	0
67	0
68	2
69	1
70	0
71	0
72	0
73	0
74	1
75	10
76	12
77	5
78	0
79	0
80	0
81	3
82	0
83	0
84	0
85	1
86	25
87	1
88	84
89	0
90	0
91	1
92	2
93	1
94	65
95	5
96	0
97	0
98	69
99	8
100	96