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

2, 3, 35, 143, 6678671, 584803025179, 34227405074603836560875299, 16008643688606125328574585946049488062084747136988251, 497369008478585535856296246658391242478488212329477774761792556414828431057586895468763959997722781406315137061

Offset

0,1

Comments

a(1)+1, a(2)+1 and a(3)+1 are squares.

Links

Table of n, a(n) for n=0..8.

Mathematica

Table[Times@@Prime[Range[PrimePi[2^n]+1, PrimePi[2^(n+1)]]], {n, 0, 8}] (* Harvey P. Dale, Jul 20 2019 *)

Prog

(PARI) a(n)=prod(i=2^n+1, 2^(n+1), if(isprime(i), i, 1))

Crossrefs

Cf. A000040, A000079, A157625.

Sequence in context: A141503 A199696 A234423 * A111459 A042663 A072291

Adjacent sequences: A165445 A165446 A165447 * A165449 A165450 A165451

Keyword

nonn

Author

Jaume Oliver Lafont, Sep 20 2009

Status

approved