#### 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