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A353534 a(n) is the least prime p such that the numerator of the sum of reciprocals of the 2*n+1 consecutive primes starting with p is a prime.

Table of values

n a(n)
1 2
2 2
3 5
4 197
5 7
6 157
7 29
8 41
9 2
10 599
11 3
12 13
13 293
14 19
15 181
16 59
17 7
18 1489
19 557
20 43
21 11
22 23
23 2
24 227
25 191
26 349
27 179
28 2
29 103
30 5479
31 2
32 7
33 131
34 971
35 37
36 2
37 6917
38 23
39 1279
40 10903
41 593
42 311
43 239
44 2711
45 6277
46 1669
47 257
48 293
49 503
50 1861
51 13613
52 11
53 569
54 719
55 619
56 709
57 4523
58 3
59 3
60 2549
61 1361
62 383
63 3
64 10193

List of values

[2, 2, 5, 197, 7, 157, 29, 41, 2, 599, 3, 13, 293, 19, 181, 59, 7, 1489, 557, 43, 11, 23, 2, 227, 191, 349, 179, 2, 103, 5479, 2, 7, 131, 971, 37, 2, 6917, 23, 1279, 10903, 593, 311, 239, 2711, 6277, 1669, 257, 293, 503, 1861, 13613, 11, 569, 719, 619, 709, 4523, 3, 3, 2549, 1361, 383, 3, 10193]