A377723 Numbers whose number of prime factors (counted with repetition) is greater than or equal to its smallest prime factor.

4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 27, 28, 30, 32, 34, 36, 38, 40, 42, 44, 45, 46, 48, 50, 52, 54, 56, 58, 60, 62, 63, 64, 66, 68, 70, 72, 74, 75, 76, 78, 80, 81, 82, 84, 86, 88, 90, 92, 94, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 112, 114, 116

Offset: 1

Author

James C. McMahon, Dec 28 2024

Keywords

• nonn

Comments

Numbers k such that A001222(k) >= A020639(k).

Complement of A091377.

A091371(a(n)) < 1: A001222(a(n)) => A020639(a(n)).

Examples

			4 is a term because bigomega(4) = spf(4) = 2.
12 is a term because bigomega(12) = 3 > spf(12) = 2.
3 is not a term because bigomega(3) = 1 < spf(3) = 3.
		

Links

• James C. McMahon, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A001222, A020639, A091371, A091375, A091376, A091377.

Programs

Mathematica

Select[Range[116], PrimeOmega[#]>=FactorInteger[#][[1, 1]]&]