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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A258126 Smallest prime of the form Sum_{i=0..k} binomial(n,i), or a(n)=0 if there is no such a prime.

Table of values

n a(n)
1 2
2 3
3 7
4 5
5 31
6 7
7 29
8 37
9 0
10 11
11 67
12 13
13 1093
14 1471
15 9949
16 17
17 131071
18 19
19 191
20 211
21 7547
22 23
23 277
24 190051
25 1807781
26 61450327
27 379
28 29
29 0
30 31
31 36457
32 1149017
33 0
34 0
35 631
36 37
37 0
38 0
39 0
40 41
41 0
42 43
43 947
44 991
45 0
46 47
47 1129
48 8682997471
49 0
50 1125899906842573
51 1327
52 53

List of values

[2, 3, 7, 5, 31, 7, 29, 37, 0, 11, 67, 13, 1093, 1471, 9949, 17, 131071, 19, 191, 211, 7547, 23, 277, 190051, 1807781, 61450327, 379, 29, 0, 31, 36457, 1149017, 0, 0, 631, 37, 0, 0, 0, 41, 0, 43, 947, 991, 0, 47, 1129, 8682997471, 0, 1125899906842573, 1327, 53]