A385314 - cp's OEIS frontend

A385314 a(n) is the least positive integer m such that Sum_{k = 1 .. m} k^n is divisible by n.

n	a(n)
1	1
2	3
3	2
4	7
5	4
6	4
7	6
8	15
9	2
10	4
11	10
12	8
13	12
14	3
15	5
16	31
17	16
18	27
19	18
20	24
21	6
22	11
23	22
24	31
25	4
26	12
27	2
28	7
29	28
30	4
31	30
32	63
33	11
34	8
35	14
36	40
37	36
38	19
39	12
40	31
41	40
42	8
43	42
44	16
45	5
46	11
47	46
48	31
49	6
50	4
51	17
52	32
53	52
54	40
55	10
56	31
57	18
58	28
59	58
60	31
61	60
62	15
63	6
64	127
65	4
66	27
67	66
68	8
69	23
70	7
71	70
72	80
73	72
74	36
75	5
76	47
77	6
78	36
79	78
80	31
81	2

[1, 3, 2, 7, 4, 4, 6, 15, 2, 4, 10, 8, 12, 3, 5, 31, 16, 27, 18, 24, 6, 11, 22, 31, 4, 12, 2, 7, 28, 4, 30, 63, 11, 8, 14, 40, 36, 19, 12, 31, 40, 8, 42, 16, 5, 11, 46, 31, 6, 4, 17, 32, 52, 40, 10, 31, 18, 28, 58, 31, 60, 15, 6, 127, 4, 27, 66, 8, 23, 7, 70, 80, 72, 36, 5, 47, 6, 36, 78, 31, 2]

cp's OEIS Frontend

A385314 a(n) is the least positive integer m such that Sum_{k = 1 .. m} k^n is divisible by n.

Table of values

List of values

n	a(n)
1	1
2	3
3	2
4	7
5	4
6	4
7	6
8	15
9	2
10	4
11	10
12	8
13	12
14	3
15	5
16	31
17	16
18	27
19	18
20	24
21	6
22	11
23	22
24	31
25	4
26	12
27	2
28	7
29	28
30	4
31	30
32	63
33	11
34	8
35	14
36	40
37	36
38	19
39	12
40	31
41	40
42	8
43	42
44	16
45	5
46	11
47	46
48	31
49	6
50	4
51	17
52	32
53	52
54	40
55	10
56	31
57	18
58	28
59	58
60	31
61	60
62	15
63	6
64	127
65	4
66	27
67	66
68	8
69	23
70	7
71	70
72	80
73	72
74	36
75	5
76	47
77	6
78	36
79	78
80	31
81	2

n	a(n)
1	1
2	3
3	2
4	7
5	4
6	4
7	6
8	15
9	2
10	4
11	10
12	8
13	12
14	3
15	5
16	31
17	16
18	27
19	18
20	24
21	6
22	11
23	22
24	31
25	4
26	12
27	2
28	7
29	28
30	4
31	30
32	63
33	11
34	8
35	14
36	40
37	36
38	19
39	12
40	31
41	40
42	8
43	42
44	16
45	5
46	11
47	46
48	31
49	6
50	4
51	17
52	32
53	52
54	40
55	10
56	31
57	18
58	28
59	58
60	31
61	60
62	15
63	6
64	127
65	4
66	27
67	66
68	8
69	23
70	7
71	70
72	80
73	72
74	36
75	5
76	47
77	6
78	36
79	78
80	31
81	2

n	a(n)
1	1
2	3
3	2
4	7
5	4
6	4
7	6
8	15
9	2
10	4
11	10
12	8
13	12
14	3
15	5
16	31
17	16
18	27
19	18
20	24
21	6
22	11
23	22
24	31
25	4
26	12
27	2
28	7
29	28
30	4
31	30
32	63
33	11
34	8
35	14
36	40
37	36
38	19
39	12
40	31
41	40
42	8
43	42
44	16
45	5
46	11
47	46
48	31
49	6
50	4
51	17
52	32
53	52
54	40
55	10
56	31
57	18
58	28
59	58
60	31
61	60
62	15
63	6
64	127
65	4
66	27
67	66
68	8
69	23
70	7
71	70
72	80
73	72
74	36
75	5
76	47
77	6
78	36
79	78
80	31
81	2