Some General Theorems About a Class of Sets of Numbers

Abstract

We prove a theorem which unifies some formulas, for example the counting function, of some sets of numbers including all positive integers, h-free numbers, h-full numbers, etc. We also establish a conjecture and give some examples where the conjecture holds.

Keywords

• sets of numbers
• counting function
• general theorems
• least prime factor
• 11a99
• 11b99