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A165448 Product of prime numbers between 2^n+1 and 2^(n+1), inclusive. 0

%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

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)