A220533 - cp's OEIS frontend

A220533 a(n) is minimal number such that the set of all composite numbers <= a(n) contains complete residue system modulo n.

n	a(n)
1	4
2	9
3	8
4	15
5	12
6	35
7	14
8	27
9	20
10	33
11	24
12	65
13	26
14	45
15	32
16	45
17	36
18	77
19	38
20	63
21	44
22	63
23	46
24	95
25	48
26	69
27	56
28	87
29	60
30	187
31	62
32	93
33	64
34	105
35	72
36	175
37	74
38	117
39	80
40	123
41	84
42	215
43	86
44	117
45	92
46	135
47	94
48	245
49	96
50	153
51	104
52	141
53	106
54	245
55	108
56	165
57	116

[4, 9, 8, 15, 12, 35, 14, 27, 20, 33, 24, 65, 26, 45, 32, 45, 36, 77, 38, 63, 44, 63, 46, 95, 48, 69, 56, 87, 60, 187, 62, 93, 64, 105, 72, 175, 74, 117, 80, 123, 84, 215, 86, 117, 92, 135, 94, 245, 96, 153, 104, 141, 106, 245, 108, 165, 116]

cp's OEIS Frontend

A220533 a(n) is minimal number such that the set of all composite numbers <= a(n) contains complete residue system modulo n.

Table of values

List of values

n	a(n)
1	4
2	9
3	8
4	15
5	12
6	35
7	14
8	27
9	20
10	33
11	24
12	65
13	26
14	45
15	32
16	45
17	36
18	77
19	38
20	63
21	44
22	63
23	46
24	95
25	48
26	69
27	56
28	87
29	60
30	187
31	62
32	93
33	64
34	105
35	72
36	175
37	74
38	117
39	80
40	123
41	84
42	215
43	86
44	117
45	92
46	135
47	94
48	245
49	96
50	153
51	104
52	141
53	106
54	245
55	108
56	165
57	116

n	a(n)
1	4
2	9
3	8
4	15
5	12
6	35
7	14
8	27
9	20
10	33
11	24
12	65
13	26
14	45
15	32
16	45
17	36
18	77
19	38
20	63
21	44
22	63
23	46
24	95
25	48
26	69
27	56
28	87
29	60
30	187
31	62
32	93
33	64
34	105
35	72
36	175
37	74
38	117
39	80
40	123
41	84
42	215
43	86
44	117
45	92
46	135
47	94
48	245
49	96
50	153
51	104
52	141
53	106
54	245
55	108
56	165
57	116

n	a(n)
1	4
2	9
3	8
4	15
5	12
6	35
7	14
8	27
9	20
10	33
11	24
12	65
13	26
14	45
15	32
16	45
17	36
18	77
19	38
20	63
21	44
22	63
23	46
24	95
25	48
26	69
27	56
28	87
29	60
30	187
31	62
32	93
33	64
34	105
35	72
36	175
37	74
38	117
39	80
40	123
41	84
42	215
43	86
44	117
45	92
46	135
47	94
48	245
49	96
50	153
51	104
52	141
53	106
54	245
55	108
56	165
57	116