MathDB
P34 [Number Theory] - Turkish NMO 1st Round - 2004

Source:

November 15, 2013

Problem Statement

How many positive integers which divide 5n112n53n5n^{11}-2n^5-3n for all positive integers nn are there?
<spanclass=latexbold>(A)</span> 2<spanclass=latexbold>(B)</span> 5<spanclass=latexbold>(C)</span> 6<spanclass=latexbold>(D)</span> 12<spanclass=latexbold>(E)</span> 18 <span class='latex-bold'>(A)</span>\ 2 \qquad<span class='latex-bold'>(B)</span>\ 5 \qquad<span class='latex-bold'>(C)</span>\ 6 \qquad<span class='latex-bold'>(D)</span>\ 12 \qquad<span class='latex-bold'>(E)</span>\ 18