MathDB
P18 [Number Theory] - Turkish NMO 1st Round - 2014

Source:

May 23, 2014
modular arithmeticquadratics

Problem Statement

Which one below cannot be expressed in the form x2+y5x^2+y^5, where xx and yy are integers?
<spanclass=latexbold>(A)</span> 59170<spanclass=latexbold>(B)</span> 59149<spanclass=latexbold>(C)</span> 59130<spanclass=latexbold>(D)</span> 59121<spanclass=latexbold>(E)</span> 59012 <span class='latex-bold'>(A)</span>\ 59170 \qquad<span class='latex-bold'>(B)</span>\ 59149 \qquad<span class='latex-bold'>(C)</span>\ 59130 \qquad<span class='latex-bold'>(D)</span>\ 59121 \qquad<span class='latex-bold'>(E)</span>\ 59012