A079087 Maximum exponent in prime factorization of (prime(n)+1)*(prime(n+1)+1)/4.

1, 1, 2, 3, 1, 2, 2, 3, 2, 4, 4, 1, 1, 4, 4, 4, 1, 1, 3, 2, 3, 4, 3, 2, 2, 2, 3, 3, 1, 6, 7, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 5, 5, 2, 2, 3, 5, 5, 1, 2, 3, 3, 2, 3, 2, 4, 3, 3, 1, 1, 2, 3, 3, 2, 1, 1, 2, 2, 2, 2, 3, 5, 3, 1, 7, 6, 1, 1, 1, 2, 1, 3, 3, 2, 3, 3, 2, 1, 3, 4, 5, 6, 3, 3, 3, 3, 3, 2, 1, 1, 2, 3, 2, 1, 2

Offset: 1

Author

Reinhard Zumkeller, Dec 22 2002

Keywords

• nonn
• nice

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A051903, A079079, A079085.

Programs

Haskell

a079087 = a051903 . a079079  -- Reinhard Zumkeller, Oct 08 2012

Mathematica

With[{pms=Times@@#/4&/@Partition[Prime[Range[110]]+1,2,1]}, Max[ Transpose[ FactorInteger[#]][[2]]]&/@pms] (* Harvey P. Dale, Nov 10 2011 *)

PARI

a(n) = vecmax(factor((prime(n)+1)*(prime(n+1)+1)/4)[,2]); \\ Amiram Eldar, Sep 08 2024

Formula

a(n) = A051903(A079079(n)).