A232862 - cp's OEIS frontend

A232862 Least positive integer m <= n^2/2 + 3 such that the set {prime(k) - 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	9
6	8
7	10
8	15
9	29
10	13
11	23
12	22
13	23
14	37
15	32
16	28
17	48
18	44
19	53
20	41
21	45
22	67
23	76
24	117
25	119
26	91
27	121
28	88
29	89
30	101
31	72
32	88
33	100
34	143
35	144
36	185
37	145
38	104
39	176
40	141
41	144
42	175
43	187
44	213
45	121
46	255
47	128
48	129
49	189
50	243
51	122
52	267
53	275
54	242
55	209
56	205
57	130
58	153
59	263
60	335

[1, 3, 4, 11, 9, 8, 10, 15, 29, 13, 23, 22, 23, 37, 32, 28, 48, 44, 53, 41, 45, 67, 76, 117, 119, 91, 121, 88, 89, 101, 72, 88, 100, 143, 144, 185, 145, 104, 176, 141, 144, 175, 187, 213, 121, 255, 128, 129, 189, 243, 122, 267, 275, 242, 209, 205, 130, 153, 263, 335]

cp's OEIS Frontend

A232862 Least positive integer m <= n^2/2 + 3 such that the set {prime(k) - 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	9
6	8
7	10
8	15
9	29
10	13
11	23
12	22
13	23
14	37
15	32
16	28
17	48
18	44
19	53
20	41
21	45
22	67
23	76
24	117
25	119
26	91
27	121
28	88
29	89
30	101
31	72
32	88
33	100
34	143
35	144
36	185
37	145
38	104
39	176
40	141
41	144
42	175
43	187
44	213
45	121
46	255
47	128
48	129
49	189
50	243
51	122
52	267
53	275
54	242
55	209
56	205
57	130
58	153
59	263
60	335

n	a(n)
1	1
2	3
3	4
4	11
5	9
6	8
7	10
8	15
9	29
10	13
11	23
12	22
13	23
14	37
15	32
16	28
17	48
18	44
19	53
20	41
21	45
22	67
23	76
24	117
25	119
26	91
27	121
28	88
29	89
30	101
31	72
32	88
33	100
34	143
35	144
36	185
37	145
38	104
39	176
40	141
41	144
42	175
43	187
44	213
45	121
46	255
47	128
48	129
49	189
50	243
51	122
52	267
53	275
54	242
55	209
56	205
57	130
58	153
59	263
60	335

n	a(n)
1	1
2	3
3	4
4	11
5	9
6	8
7	10
8	15
9	29
10	13
11	23
12	22
13	23
14	37
15	32
16	28
17	48
18	44
19	53
20	41
21	45
22	67
23	76
24	117
25	119
26	91
27	121
28	88
29	89
30	101
31	72
32	88
33	100
34	143
35	144
36	185
37	145
38	104
39	176
40	141
41	144
42	175
43	187
44	213
45	121
46	255
47	128
48	129
49	189
50	243
51	122
52	267
53	275
54	242
55	209
56	205
57	130
58	153
59	263
60	335