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A187873 Second smallest prime after n^2.

%I A187873 #11 Dec 18 2018 17:07:53
%S A187873 3,3,7,13,19,31,41,59,71,89,103,131,151,179,199,229,263,307,337,373,
%T A187873 409,449,491,547,587,641,683,739,797,857,911,971,1033,1093,1171,1231,
%U A187873 1301,1381,1451,1531,1607,1697,1783,1867,1951,2029
%N A187873 Second smallest prime after n^2.
%C A187873 From _Robert Israel_, Dec 18 2018: (Start)
%C A187873 Oppermann's conjecture implies a(n) < (n+1)^2 for n > 0.
%C A187873 For n > 1, a(n) >= n^2 + 3, with equality for n in A080149. (End)
%H A187873 Robert Israel, <a href="/A187873/b187873.txt">Table of n, a(n) for n = 0..10000</a>
%H A187873 Wikipedia, <a href="https://en.wikipedia.org/wiki/Oppermann%27s_conjecture">Oppermann's conjecture</a>
%e A187873 2^2=4, second smallest prime=7;
%e A187873 3^2=9, second smallest prime=13; ..
%p A187873 seq(nextprime(nextprime(n^2)),n=0..50); # _Robert Israel_, Dec 18 2018
%t A187873 NextPrime[Range[0,100]^2, 2]
%Y A187873 Cf. A007491, A014210, A080149.
%K A187873 nonn
%O A187873 0,1
%A A187873 _Vladimir Joseph Stephan Orlovsky_, Mar 14 2011