A079086 - OEIS

A079086

Total number of prime factors of (prime(n)+1)*(prime(n+1)+1)/4.

1, 2, 3, 4, 3, 3, 4, 5, 5, 6, 5, 3, 4, 6, 7, 6, 4, 3, 6, 5, 5, 7, 6, 5, 4, 5, 7, 6, 4, 8, 9, 5, 5, 6, 6, 4, 3, 6, 6, 6, 6, 8, 7, 4, 7, 6, 7, 8, 5, 5, 8, 7, 6, 6, 6, 8, 8, 5, 3, 4, 5, 6, 7, 5, 3, 4, 4, 5, 6, 5, 7, 9, 6, 5, 10, 10, 4, 3, 4, 6, 5, 7, 8, 6, 7, 7, 5, 4, 7, 8, 10, 9, 6, 7, 9, 8, 6, 5, 3, 3, 5, 6, 6, 6

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

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

FORMULA

a(n) = A001222(A079079(n)).

MATHEMATICA

a[n_] := PrimeOmega[(Prime[n]+1) * (Prime[n+1]+1) / 4]; Array[a, 100] (* Amiram Eldar, Apr 06 2025 *)

PROG

(Haskell)

a079086 = a001222 . a079079 -- Reinhard Zumkeller, Oct 08 2012