MathDB
Turkish NMO First Round - 2012 Problem - 10 {Number Theory}

Source:

July 1, 2012
number theoryrelatively prime

Problem Statement

How many positive integers nn are there such that there are 2020 positive integers that are less than nn and relatively prime with nn?
<spanclass=latexbold>(A)</span> 1<spanclass=latexbold>(B)</span> 2<spanclass=latexbold>(C)</span> 3<spanclass=latexbold>(D)</span> 4<spanclass=latexbold>(E)</span> None <span class='latex-bold'>(A)</span>\ 1 \qquad <span class='latex-bold'>(B)</span>\ 2 \qquad <span class='latex-bold'>(C)</span>\ 3 \qquad <span class='latex-bold'>(D)</span>\ 4 \qquad <span class='latex-bold'>(E)</span>\ \text{None}