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A318351 a(n) is the smallest prime p such that the sum of the first 2*n + 1 odd primes starting with p is prime.

Table of values

n a(n)
0 3
1 5
2 5
3 17
4 3
5 5
6 29
7 3
8 3
9 11
10 7
11 7
12 5
13 7
14 13
15 13
16 7
17 5
18 5
19 13
20 7
21 7
22 7
23 7
24 11
25 17
26 3
27 3
28 97
29 29
30 3
31 13
32 3
33 19
34 19
35 3
36 5
37 3
38 23
39 7
40 11
41 53
42 31
43 89
44 53
45 19
46 11
47 3
48 17
49 23
50 83
51 11
52 5
53 47
54 37
55 5
56 17
57 3
58 3
59 29
60 23
61 5
62 5
63 5
64 59
65 7
66 7
67 31
68 3
69 67
70 3
71 3
72 89
73 71
74 31
75 41
76 29

List of values

[3, 5, 5, 17, 3, 5, 29, 3, 3, 11, 7, 7, 5, 7, 13, 13, 7, 5, 5, 13, 7, 7, 7, 7, 11, 17, 3, 3, 97, 29, 3, 13, 3, 19, 19, 3, 5, 3, 23, 7, 11, 53, 31, 89, 53, 19, 11, 3, 17, 23, 83, 11, 5, 47, 37, 5, 17, 3, 3, 29, 23, 5, 5, 5, 59, 7, 7, 31, 3, 67, 3, 3, 89, 71, 31, 41, 29]