Some Properties of Certain Sets of Coprime Integers

Author

Roger C. Entringer

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 {a₁,...,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