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).

4608, 5440, 6144, 6336, 6480, 7680, 8064, 8640, 8704, 9216, 9984, 10752, 11664, 13440, 14400, 15680, 17280, 19200, 20480, 20736, 21120, 23808, 24192, 26208, 27360, 27840, 28512, 31104, 31360, 32000, 32320, 32400, 32832, 34560, 34992

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

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

Prog

(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

Crossrefs

Cf. A001222.

Sequence in context: A020437 A157364 A035900 * A159205 A170795 A035785

Adjacent sequences: A078091 A078092 A078093 * A078095 A078096 A078097

Keyword

nonn

Author

Shyam Sunder Gupta, Dec 01 2002

Status

approved