A342309 - cp's OEIS frontend

A342309 When A123556(n) is the number of primes (not necessarily consecutive) in the longest arithmetic progression of primes with common difference n, a(n) is the smallest term of the first such arithmetic progression.

n	a(n)
1	2
2	3
3	2
4	3
5	2
6	5
7	2
8	3
9	2
10	3
11	2
12	5
13	2
14	3
15	2
16	3
17	2
18	5
19	2
20	3
21	2
22	7
23	2
24	59
25	2
26	3
27	2
28	3
29	2
30	7
31	2
32	5
33	2
34	3
35	2
36	31
37	2
38	3
39	2
40	3
41	2
42	5
43	2
44	3
45	2
46	7
47	2
48	5
49	2
50	3
51	2
52	7
53	2
54	5
55	2
56	3
57	2
58	3
59	2
60	11
61	2
62	5
63	2
64	3
65	2
66	31
67	2
68	3
69	2
70	3
71	2
72	7
73	2
74	5
75	2
76	3
77	2
78	23
79	2
80	3
81	2
82	7
83	2
84	5
85	2
86	3
87	2
88	13
89	2
90	13

[2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 7, 2, 59, 2, 3, 2, 3, 2, 7, 2, 5, 2, 3, 2, 31, 2, 3, 2, 3, 2, 5, 2, 3, 2, 7, 2, 5, 2, 3, 2, 7, 2, 5, 2, 3, 2, 3, 2, 11, 2, 5, 2, 3, 2, 31, 2, 3, 2, 3, 2, 7, 2, 5, 2, 3, 2, 23, 2, 3, 2, 7, 2, 5, 2, 3, 2, 13, 2, 13]

cp's OEIS Frontend

A342309 When A123556(n) is the number of primes (not necessarily consecutive) in the longest arithmetic progression of primes with common difference n, a(n) is the smallest term of the first such arithmetic progression.

Table of values

List of values

n	a(n)
1	2
2	3
3	2
4	3
5	2
6	5
7	2
8	3
9	2
10	3
11	2
12	5
13	2
14	3
15	2
16	3
17	2
18	5
19	2
20	3
21	2
22	7
23	2
24	59
25	2
26	3
27	2
28	3
29	2
30	7
31	2
32	5
33	2
34	3
35	2
36	31
37	2
38	3
39	2
40	3
41	2
42	5
43	2
44	3
45	2
46	7
47	2
48	5
49	2
50	3
51	2
52	7
53	2
54	5
55	2
56	3
57	2
58	3
59	2
60	11
61	2
62	5
63	2
64	3
65	2
66	31
67	2
68	3
69	2
70	3
71	2
72	7
73	2
74	5
75	2
76	3
77	2
78	23
79	2
80	3
81	2
82	7
83	2
84	5
85	2
86	3
87	2
88	13
89	2
90	13

n	a(n)
1	2
2	3
3	2
4	3
5	2
6	5
7	2
8	3
9	2
10	3
11	2
12	5
13	2
14	3
15	2
16	3
17	2
18	5
19	2
20	3
21	2
22	7
23	2
24	59
25	2
26	3
27	2
28	3
29	2
30	7
31	2
32	5
33	2
34	3
35	2
36	31
37	2
38	3
39	2
40	3
41	2
42	5
43	2
44	3
45	2
46	7
47	2
48	5
49	2
50	3
51	2
52	7
53	2
54	5
55	2
56	3
57	2
58	3
59	2
60	11
61	2
62	5
63	2
64	3
65	2
66	31
67	2
68	3
69	2
70	3
71	2
72	7
73	2
74	5
75	2
76	3
77	2
78	23
79	2
80	3
81	2
82	7
83	2
84	5
85	2
86	3
87	2
88	13
89	2
90	13

n	a(n)
1	2
2	3
3	2
4	3
5	2
6	5
7	2
8	3
9	2
10	3
11	2
12	5
13	2
14	3
15	2
16	3
17	2
18	5
19	2
20	3
21	2
22	7
23	2
24	59
25	2
26	3
27	2
28	3
29	2
30	7
31	2
32	5
33	2
34	3
35	2
36	31
37	2
38	3
39	2
40	3
41	2
42	5
43	2
44	3
45	2
46	7
47	2
48	5
49	2
50	3
51	2
52	7
53	2
54	5
55	2
56	3
57	2
58	3
59	2
60	11
61	2
62	5
63	2
64	3
65	2
66	31
67	2
68	3
69	2
70	3
71	2
72	7
73	2
74	5
75	2
76	3
77	2
78	23
79	2
80	3
81	2
82	7
83	2
84	5
85	2
86	3
87	2
88	13
89	2
90	13