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Prime numbers p such that p divides the sum of squares of Catalan numbers A094639(p).
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%I #9 Sep 16 2015 09:18:32

%S 2,19,29,67

%N Prime numbers p such that p divides the sum of squares of Catalan numbers A094639(p).

%C Next term is bigger than 2000. - _Stefan Steinerberger_, Jul 21 2006

%t Select[Prime[Range[303]], IntegerQ[Sum[(Binomial[2n,n]/(n + 1))^2, {n, 0, #}]/# ] &] (* _Stefan Steinerberger_, Jul 21 2006 *)

%Y Cf. A094639.

%K nonn

%O 1,1

%A _Alexander Adamchuk_, Jul 04 2006