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
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)
Recommended Citation
Vincent, J. T., & Lim, R. Y. (2009). On Wieferich primes and period lengths for the expansions of fractions. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/5230
Embargo Period
4-4-2021