## Publication Date

5-30-1963

## Abstract

The set P(n) of all primes equal to or less than n has the obvious property that it contains exactly one multiple of each prime equal to or less than n. We use this partial description of P(n) as a basis for the following

Definition 1.1. An increasing sequence {a_{1},...,a_{k}} of integers greater than 1 is a coprime chain if it contains exactly one multiple of each prime equal to or less than a_{k}.

## Degree Name

Mathematics

## Level of Degree

Doctoral

## Department Name

Mathematics & Statistics

## First Committee Member (Chair)

Illegible

## Second Committee Member

Donald Ward Dubois

## Third Committee Member

Arthur Steger

## Language

English

## Document Type

Dissertation

## Recommended Citation

Entringer, Roger C.. "Some Properties of Certain Sets of Coprime Integers." (1963). https://digitalrepository.unm.edu/math_etds/125