MathDB

a/c=b/d=c/e from {n, n +1, n +2,...,2n}

Source: 2014 Romania NMO VII p3

August 15, 2024

number theory

Problem Statement

Find the smallest integer

n

for which the set

A = \{n, n +1, n +2,...,2n\}

contains five elements

a<b<c<d<e

so that

\frac{a}{c}=\frac{b}{d}=\frac{c}{e}