A232891 - cp's OEIS frontend

A232891 Least positive integer m <= n^2/2 + 3 such that {k*prime(k): k = 1,...,m} contains a complete system of residues modulo n, or 0 if such a number m does not exist.

n	a(n)
1	1
2	3
3	4
4	11
5	7
6	7
7	10
8	17
9	43
10	13
11	51
12	22
13	51
14	36
15	31
16	49
17	64
18	71
19	119
20	73
21	86
22	68
23	141
24	110
25	153
26	85
27	83
28	86
29	144
30	81
31	174
32	127
33	115
34	87
35	122
36	138
37	143
38	134
39	133
40	142
41	211
42	229
43	152
44	104
45	109
46	177
47	259
48	142
49	194
50	176
51	196
52	311
53	312
54	193
55	243
56	197
57	396
58	169
59	156
60	171

[1, 3, 4, 11, 7, 7, 10, 17, 43, 13, 51, 22, 51, 36, 31, 49, 64, 71, 119, 73, 86, 68, 141, 110, 153, 85, 83, 86, 144, 81, 174, 127, 115, 87, 122, 138, 143, 134, 133, 142, 211, 229, 152, 104, 109, 177, 259, 142, 194, 176, 196, 311, 312, 193, 243, 197, 396, 169, 156, 171]

cp's OEIS Frontend

A232891 Least positive integer m <= n^2/2 + 3 such that {k*prime(k): k = 1,...,m} contains a complete system of residues modulo n, or 0 if such a number m does not exist.

Table of values

List of values

n	a(n)
1	1
2	3
3	4
4	11
5	7
6	7
7	10
8	17
9	43
10	13
11	51
12	22
13	51
14	36
15	31
16	49
17	64
18	71
19	119
20	73
21	86
22	68
23	141
24	110
25	153
26	85
27	83
28	86
29	144
30	81
31	174
32	127
33	115
34	87
35	122
36	138
37	143
38	134
39	133
40	142
41	211
42	229
43	152
44	104
45	109
46	177
47	259
48	142
49	194
50	176
51	196
52	311
53	312
54	193
55	243
56	197
57	396
58	169
59	156
60	171

n	a(n)
1	1
2	3
3	4
4	11
5	7
6	7
7	10
8	17
9	43
10	13
11	51
12	22
13	51
14	36
15	31
16	49
17	64
18	71
19	119
20	73
21	86
22	68
23	141
24	110
25	153
26	85
27	83
28	86
29	144
30	81
31	174
32	127
33	115
34	87
35	122
36	138
37	143
38	134
39	133
40	142
41	211
42	229
43	152
44	104
45	109
46	177
47	259
48	142
49	194
50	176
51	196
52	311
53	312
54	193
55	243
56	197
57	396
58	169
59	156
60	171

n	a(n)
1	1
2	3
3	4
4	11
5	7
6	7
7	10
8	17
9	43
10	13
11	51
12	22
13	51
14	36
15	31
16	49
17	64
18	71
19	119
20	73
21	86
22	68
23	141
24	110
25	153
26	85
27	83
28	86
29	144
30	81
31	174
32	127
33	115
34	87
35	122
36	138
37	143
38	134
39	133
40	142
41	211
42	229
43	152
44	104
45	109
46	177
47	259
48	142
49	194
50	176
51	196
52	311
53	312
54	193
55	243
56	197
57	396
58	169
59	156
60	171