# Arquivo da Categoria: Number Theory

## The integer 17 belongs to the residue class modulo m of 24. Find m.

(Old) Question posted by Felipe Maia to math.stackexchange.com : The integer 17 belongs to the residue class modulo m of 24. Find m. (…) I thought of calculating m for the values ​​of the divisors of 24, that is, making … Continuar a ler

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## 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

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## 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