The square-full numbers in an interval

Author:

Huxley M. N.,Trifonov O.

Abstract

A positive integer is square-full if each prime factor occurs to the second power or higher. Each square-full number can be written uniquely as a square times the cube of a square-free number. The perfect squares make up more than three-quarters of the sequence {si} of square-full numbers, so that a pair of consecutive square-full numbers is a pair of consecutive squares at least half the time, with

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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