A303545 - cp's OEIS frontend

A303545 For any n > 0 and prime number p, let d_p(n) be the distance from n to the nearest p-smooth number; a(n) = Sum_{i prime} d_i(n).

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

[0, 0, 1, 0, 2, 2, 3, 0, 1, 3, 6, 4, 7, 5, 2, 0, 6, 2, 9, 6, 9, 11, 14, 8, 8, 10, 5, 6, 12, 4, 10, 0, 4, 9, 5, 4, 15, 16, 13, 12, 24, 18, 28, 18, 16, 22, 28, 16, 17, 16, 20, 20, 25, 10, 12, 12, 17, 22, 24, 8, 21, 13, 3, 0, 5, 8, 26, 18, 16, 10, 25, 8, 28, 21]

cp's OEIS Frontend

A303545 For any n > 0 and prime number p, let d_p(n) be the distance from n to the nearest p-smooth number; a(n) = Sum_{i prime} d_i(n).

Table of values

List of values

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

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

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