%I #5 Oct 31 2015 15:02:10
%S 3,5,17,257,65537,73014444017,7839866227890585600377,
%T 90965983657404652017189201081165598949585237,
%U 59265532390032181385721703100931439246761487956490653915298719426194939212611074425177277
%N Smallest odd prime of the form k*a(n-1)*a(n-2)*...*a(1) + 2.
%C Infinite sequence of primes which coincides with Fermat primes, a(n) = A019434(n-1), only for n <= 5.
%C For the k values, see A263540.
%o (PARI) terms=12; p=1; for(n=1, terms, q=p+2; while(!ispseudoprime(q), q+=2*p); print1(q, ", "); p*=q)
%Y Cf. A071580, A090475, A263540, A019434.
%K nonn
%O 1,1
%A _Jeppe Stig Nielsen_, Oct 20 2015