# Arquivo da Categoria: Number Theory

## Maximum of the produt of k positive integers, the sum of which is 100. Problem by Vishal Lama and a solution by Neil Dickson

Problem by Vishal Lama. Maximize the value of the expression , for some positive integer , where and s are all positive integers. My (corrected) guess (Ansatz). The solution to your problem seems to be satisfied by variables, such as . … Continuar a ler

Publicado em Matemática, Math, Number Theory, Problem, Problemas, Teoria dos Números | Etiquetas , , , | Publicar um comentário

## Congruences and Divisibility — A Purdue University Problem

pdf: ver caderno Versão portuguesa aqui PROBLEM OF THE WEEK, Problem No. 12 (Spring 2009 Series): “ Problem. For how many positive integers is not divisible by ? Justify your answer without the use of computers. ” Here is my … Continuar a ler

Publicado em Congruences, Math, Number Theory, Problem, Purdue University | Etiquetas , | 6 Comentários

## My solution to the Problem Of the Week-9 [Todd and Vishal’s blog]: Period of a decimal expansion

pdf: included in Caderno (see “caderno” page) I submitted a solution to the following Problem that  was accepted. Find the length of the period of the repeating decimal representation of My Solution: The repeating decimal representation of the number is . … Continuar a ler

Publicado em Caderno, Matemática, Math, Number Theory, Problem, Problemas, Teoria dos Números | Etiquetas , , | Publicar um comentário