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%I #4 Jul 20 2019 10:13:19
%S 2,3,35,143,6678671,584803025179,34227405074603836560875299,
%T 16008643688606125328574585946049488062084747136988251,
%U 497369008478585535856296246658391242478488212329477774761792556414828431057586895468763959997722781406315137061
%N Product of prime numbers between 2^n+1 and 2^(n+1), inclusive.
%C a(1)+1, a(2)+1 and a(3)+1 are squares.
%t Table[Times@@Prime[Range[PrimePi[2^n]+1,PrimePi[2^(n+1)]]],{n,0,8}] (* _Harvey P. Dale_, Jul 20 2019 *)
%o (PARI) a(n)=prod(i=2^n+1,2^(n+1),if(isprime(i),i,1))
%Y Cf. A000040, A000079, A157625.
%K nonn
%O 0,1
%A _Jaume Oliver Lafont_, Sep 20 2009