On Ruth-Aaron pairs of the second kind
Date of Publication
2007
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Defense Panel Chair
Yvette F. Lim
Defense Panel Member
Mark Anthony A. Garcia
Rigor B. Ponsones
Abstract/Summary
Given a positive integer n with its unique prime factorization given by n = II pi > 1, we define the arithmetic function P by P(n) = p1 + p2 + ... + pr and P(1) = o and w(n) by w(1) = o, w(n) = r. We study pairs (n, n + 1) such that P(n) = P(n + 1) and provide a detailed proof that (5, 6), (24, 25) and (49, 50) are the only pairs (n, n +1) such that {w(n), w(n + 1)} = {1, 2}. Also, we show how to generate certain pairs of the form (2 2n pq, r s) with p < q, r < s odd primes.
Abstract Format
html
Language
English
Format
Accession Number
TU14203
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
1 v. (various foliations) : ill.
Keywords
Arithmetic functions; Number theory
Recommended Citation
Mordeno, M. O., & Yacapin, J. (2007). On Ruth-Aaron pairs of the second kind. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17467
