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%I #2 Mar 31 2012 13:20:28
%S 2,13,19,29,29,79,47,73,163,359,5233,20477,811,13859,2203,75997,3331,
%T 4457,239087,58061,159097,116041,7487,17929,4547,152657,408787,58313,
%U 5563,4783,226199,13729,676763,204641,119293,283979,2210983,7121,433
%N Primes from A122136[n] corresponding to the indices A122138[n].
%C A122136[n] = Numerator of Sum[ Prime[k]^2, {k,1,n}] / Product[ Prime[k], {k,1,n}] ] = Numerator[ A024450[n] / A002110[n] ]. A122136[n] begins {2,13,19,29,104,29,111,79,778,47,73,163,1068,359,5233,885,142,20477,219,811,...}. A122138[n] lists the indices n such that A122136[n] is a prime {1,2,3,4,6,8,10,11,12,14,15,18,20,22,23,26,27,32,36,...}.
%F a(n) = A122136[ A122138[n] ].
%t Select[Table[Numerator[Sum[Prime[k]^2,{k,1,n}]/Product[Prime[k],{k,1,n}]],{n,1,200}],PrimeQ[ #1]&]
%Y Cf. A122136, A122138, A024450, A002110.
%K nonn
%O 1,1
%A _Alexander Adamchuk_, Aug 21 2006
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