On Wieferich primes and period lengths for the expansions of fractions

Date of Publication

2009

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics with Specialization in Computer Applications

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Rigor B. Ponsones

Defense Panel Chair

Yvette F. Lim

Defense Panel Member

Isagani B. Jos
John Vincents S. Morales

Abstract/Summary

This thesis discusses some results on the period lengths of decimal expansions of reciprocals of integers for any base and Wieferich primes. It includes the Power Rule Theorem which deals with the period of the power of an odd prime. Furthermore, a computer program is designed to determine the expansion of the reciprocal of a given integer, and compute for its period.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU15076

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

v, 63, [11] leaves, illustrations (some color), 28 cm.

Keywords

Numbers, Prime; Number theory; Factors (Algebra)

Embargo Period

4-4-2021

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