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 A078094 Numbers k such that Omega(k) = Omega(k+1) + Omega(k+2) + Omega(k+3) + Omega(k+4). (Omega(k) denotes the number of prime factors of k, counting multiplicity). 1

%I

%S 4608,5440,6144,6336,6480,7680,8064,8640,8704,9216,9984,10752,11664,

%T 13440,14400,15680,17280,19200,20480,20736,21120,23808,24192,26208,

%U 27360,27840,28512,31104,31360,32000,32320,32400,32832,34560,34992

%N Numbers k such that Omega(k) = Omega(k+1) + Omega(k+2) + Omega(k+3) + Omega(k+4). (Omega(k) denotes the number of prime factors of k, counting multiplicity).

%H Amiram Eldar, <a href="/A078094/b078094.txt">Table of n, a(n) for n = 1..10000</a>

%e a(1) = 4608 is a term because Omega(4608) = 11 = Omega(4609) + Omega(4610) + Omega(4611) + Omega(4612) = 2 + 3 + 3 + 3 = 11.

%o (Magma) f:=func<n|&+[p[2]: p in Factorization(n)]>; [k:k in [2..35000]| f(k) eq f(k+1)+ f(k+2)+f(k+3)+f(k+4)]; // _Marius A. Burtea_, Feb 19 2020

%Y Cf. A001222.

%K nonn

%O 1,1

%A _Shyam Sunder Gupta_, Dec 01 2002

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Last modified November 29 12:53 EST 2022. Contains 358428 sequences. (Running on oeis4.)