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

1,3

Links

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

Formula

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

Mathematica

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

Prog

(Haskell)
a079087 = a051903 . a079079  -- Reinhard Zumkeller, Oct 08 2012
(PARI) a(n) = vecmax(factor((prime(n)+1)*(prime(n+1)+1)/4)[, 2]); \\ Amiram Eldar, Sep 08 2024

Crossrefs

Cf. A051903, A079079, A079085.

Sequence in context: A318438 A294233 A121884 * A324920 A358638 A236855

Adjacent sequences: A079084 A079085 A079086 * A079088 A079089 A079090

Keyword

nonn,nice

Author

Reinhard Zumkeller, Dec 22 2002

Status

approved