A356165 - cp's OEIS frontend

A356165 a(n) = n minus the smallest positive k such that n divides k*A003961(k), where A003961 is fully multiplicative with a(p) = nextprime(p).

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

[0, 0, 1, 0, 2, 4, 2, 0, 5, 4, 4, 8, 2, 4, 12, 0, 4, 14, 2, 8, 11, 8, 4, 16, 16, 4, 19, 8, 6, 24, 2, 0, 19, 8, 30, 32, 6, 4, 17, 16, 4, 32, 2, 16, 39, 8, 4, 32, 24, 32, 25, 8, 6, 46, 34, 16, 23, 12, 6, 48, 2, 4, 43, 0, 32, 52, 6, 16, 31, 60, 4, 64, 2, 12, 66, 8, 70, 56, 6, 32, 65, 8, 4, 64, 46, 4, 41, 32, 6, 84, 36]

cp's OEIS Frontend

A356165 a(n) = n minus the smallest positive k such that n divides k*A003961(k), where A003961 is fully multiplicative with a(p) = nextprime(p).

Table of values

List of values

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

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

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