%I #10 Dec 23 2020 02:08:25
%S 5,73,12073365010564729,10258527782126040976126514552283001
%N Prime Apery numbers.
%C The next term is too large to include.
%C The next term has more than 3800 digits. - _Harvey P. Dale_, Sep 13 2020
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AperyNumber.html">Apéry Number</a>
%t Select[Table[Sum[Binomial[n,k]^2 Binomial[n+k,k]^2,{k,0,n}],{n,25}],PrimeQ] (* _Harvey P. Dale_, Sep 13 2020 *)
%Y Cf. A005259.
%K nonn
%O 1,1
%A _Eric W. Weisstein_, Mar 07 2004