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%I #11 Jun 21 2021 18:33:58
%S 5,8,22,274,65794
%N Sum of two consecutive primes of the form 2^x+1 (including Fermat primes and 2).
%e a(1) = [2^0+1] + [2^(2^0)+1]
%e a(2) = [2^(2^0)+1] + [2^(2^1)+1]
%e a(3) = [2^(2^1)+1] + [2^(2^2)+1]
%e a(4) = [2^(2^2)+1] + [2^(2^3)+1]
%e a(5) = [2^(2^3)+1] + [2^(2^4)+1]
%t Total/@Partition[Select[2^Range[0,50]+1,PrimeQ],2,1] (* _Harvey P. Dale_, Jun 21 2021 *)
%Y Cf. A092506, A019434, A063897.
%K nonn,more
%O 1,1
%A _Jorge Coveiro_, Apr 12 2004
%E Offset corrected by _Arkadiusz Wesolowski_, Oct 22 2011