A053050 - cp's OEIS frontend

A053050 a(n) = smallest integer m such that Sum_{k=1..m} prime(k) is divisible by n.

n	a(n)
1	1
2	1
3	10
4	5
5	2
6	57
7	5
8	11
9	20
10	3
11	8
12	97
13	49
14	5
15	57
16	11
17	4
18	113
19	23
20	9
21	40
22	17
23	23
24	99
25	9
26	49
27	26
28	5
29	7
30	57
31	39
32	11
33	76
34	13
35	180
36	119
37	29
38	23
39	119
40	11
41	6
42	305
43	10
44	17
45	242
46	23
47	39
48	119
49	40
50	9
51	179
52	49
53	25
54	187
55	17
56	115
57	70
58	7
59	30
60	103
61	151
62	39
63	40
64	171
65	131
66	175
67	38
68	37
69	52
70	209
71	19

[1, 1, 10, 5, 2, 57, 5, 11, 20, 3, 8, 97, 49, 5, 57, 11, 4, 113, 23, 9, 40, 17, 23, 99, 9, 49, 26, 5, 7, 57, 39, 11, 76, 13, 180, 119, 29, 23, 119, 11, 6, 305, 10, 17, 242, 23, 39, 119, 40, 9, 179, 49, 25, 187, 17, 115, 70, 7, 30, 103, 151, 39, 40, 171, 131, 175, 38, 37, 52, 209, 19]

cp's OEIS Frontend

A053050 a(n) = smallest integer m such that Sum_{k=1..m} prime(k) is divisible by n.

Table of values

List of values

n	a(n)
1	1
2	1
3	10
4	5
5	2
6	57
7	5
8	11
9	20
10	3
11	8
12	97
13	49
14	5
15	57
16	11
17	4
18	113
19	23
20	9
21	40
22	17
23	23
24	99
25	9
26	49
27	26
28	5
29	7
30	57
31	39
32	11
33	76
34	13
35	180
36	119
37	29
38	23
39	119
40	11
41	6
42	305
43	10
44	17
45	242
46	23
47	39
48	119
49	40
50	9
51	179
52	49
53	25
54	187
55	17
56	115
57	70
58	7
59	30
60	103
61	151
62	39
63	40
64	171
65	131
66	175
67	38
68	37
69	52
70	209
71	19

n	a(n)
1	1
2	1
3	10
4	5
5	2
6	57
7	5
8	11
9	20
10	3
11	8
12	97
13	49
14	5
15	57
16	11
17	4
18	113
19	23
20	9
21	40
22	17
23	23
24	99
25	9
26	49
27	26
28	5
29	7
30	57
31	39
32	11
33	76
34	13
35	180
36	119
37	29
38	23
39	119
40	11
41	6
42	305
43	10
44	17
45	242
46	23
47	39
48	119
49	40
50	9
51	179
52	49
53	25
54	187
55	17
56	115
57	70
58	7
59	30
60	103
61	151
62	39
63	40
64	171
65	131
66	175
67	38
68	37
69	52
70	209
71	19

n	a(n)
1	1
2	1
3	10
4	5
5	2
6	57
7	5
8	11
9	20
10	3
11	8
12	97
13	49
14	5
15	57
16	11
17	4
18	113
19	23
20	9
21	40
22	17
23	23
24	99
25	9
26	49
27	26
28	5
29	7
30	57
31	39
32	11
33	76
34	13
35	180
36	119
37	29
38	23
39	119
40	11
41	6
42	305
43	10
44	17
45	242
46	23
47	39
48	119
49	40
50	9
51	179
52	49
53	25
54	187
55	17
56	115
57	70
58	7
59	30
60	103
61	151
62	39
63	40
64	171
65	131
66	175
67	38
68	37
69	52
70	209
71	19