A302867 - cp's OEIS frontend

A302867 a(n) is the sum of remainders n mod p, over primes p for which n falls between p and p+p^2.

n	a(n)
1	0
2	0
3	1
4	1
5	3
6	1
7	3
8	6
9	6
10	4
11	7
12	8
13	11
14	8
15	7
16	11
17	15
18	20
19	25
20	26
21	25
22	20
23	26
24	33
25	35
26	29
27	36
28	36
29	43
30	46
31	53
32	61
33	58
34	49
35	50
36	58
37	66
38	56
39	52
40	61
41	70
42	73
43	83
44	83
45	94
46	82
47	93
48	105
49	110
50	122
51	117
52	116
53	128
54	141
55	143
56	149
57	142
58	125
59	137
60	150
61	163
62	146
63	160
64	174

[0, 0, 1, 1, 3, 1, 3, 6, 6, 4, 7, 8, 11, 8, 7, 11, 15, 20, 25, 26, 25, 20, 26, 33, 35, 29, 36, 36, 43, 46, 53, 61, 58, 49, 50, 58, 66, 56, 52, 61, 70, 73, 83, 83, 94, 82, 93, 105, 110, 122, 117, 116, 128, 141, 143, 149, 142, 125, 137, 150, 163, 146, 160, 174]

cp's OEIS Frontend

A302867 a(n) is the sum of remainders n mod p, over primes p for which n falls between p and p+p^2.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	1
5	3
6	1
7	3
8	6
9	6
10	4
11	7
12	8
13	11
14	8
15	7
16	11
17	15
18	20
19	25
20	26
21	25
22	20
23	26
24	33
25	35
26	29
27	36
28	36
29	43
30	46
31	53
32	61
33	58
34	49
35	50
36	58
37	66
38	56
39	52
40	61
41	70
42	73
43	83
44	83
45	94
46	82
47	93
48	105
49	110
50	122
51	117
52	116
53	128
54	141
55	143
56	149
57	142
58	125
59	137
60	150
61	163
62	146
63	160
64	174

n	a(n)
1	0
2	0
3	1
4	1
5	3
6	1
7	3
8	6
9	6
10	4
11	7
12	8
13	11
14	8
15	7
16	11
17	15
18	20
19	25
20	26
21	25
22	20
23	26
24	33
25	35
26	29
27	36
28	36
29	43
30	46
31	53
32	61
33	58
34	49
35	50
36	58
37	66
38	56
39	52
40	61
41	70
42	73
43	83
44	83
45	94
46	82
47	93
48	105
49	110
50	122
51	117
52	116
53	128
54	141
55	143
56	149
57	142
58	125
59	137
60	150
61	163
62	146
63	160
64	174

n	a(n)
1	0
2	0
3	1
4	1
5	3
6	1
7	3
8	6
9	6
10	4
11	7
12	8
13	11
14	8
15	7
16	11
17	15
18	20
19	25
20	26
21	25
22	20
23	26
24	33
25	35
26	29
27	36
28	36
29	43
30	46
31	53
32	61
33	58
34	49
35	50
36	58
37	66
38	56
39	52
40	61
41	70
42	73
43	83
44	83
45	94
46	82
47	93
48	105
49	110
50	122
51	117
52	116
53	128
54	141
55	143
56	149
57	142
58	125
59	137
60	150
61	163
62	146
63	160
64	174