On Ruth-Aaron pairs of the second kind

• Main Authors: Mordeno, Mark Oyelle, Yacapin, John Mark
• Format: text
• Language: English
• Published: Animo Repository 2007
• Subjects: Arithmetic functions; Number theory
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/17467
• Institution: De La Salle University

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, 2...