%I A085013
%S A085013 1,3,5,7,13,23,29,37,43,61,73,89,137,151,167,199,269,383,397,521,619,
%T A085013 659,739,1217,1307,1613,1741,1847,1873,2039,2473,2521,2531,3011,3391,
%U A085013 3637,3793,4201,4751,5039,5879,6299,7307,7829,8243,8933,9781,9829,10069
%N A085013 a(1) = 1; for n>1, a(n) = smallest prime > a(n-1) such that a(1)*...*a(n) 
               + 2 is a prime.
%t A085013 a[1] = 1; a[n_] := a[n] = Block[{k = a[n - 1] + 2}, While[ !PrimeQ[k] 
               || ! PrimeQ[ k * Times @@ Table[ a[i], {i, 1, n - 1}] + 2], k += 
               2]; k]; Table[ a[n], {n, 1, 49}]
%Y A085013 Cf. A083566.
%Y A085013 Sequence in context: A060274 A005235 A107664 this_sequence A164939 A125272 
               A127443
%Y A085013 Adjacent sequences: A085010 A085011 A085012 this_sequence A085014 A085015 
               A085016
%K A085013 nonn
%O A085013 1,2
%A A085013 Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 17 2003