MathDB

34

Part of 2004 National Olympiad First Round

Problems(1)

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

Source:

11/15/2013
How many positive integers which divide 5n11−2n5−3n5n^{11}-2n^5-3n for all positive integers nn are there?
<spanclass=′latex−bold′>(A)</span> 2<spanclass=′latex−bold′>(B)</span> 5<spanclass=′latex−bold′>(C)</span> 6<spanclass=′latex−bold′>(D)</span> 12<spanclass=′latex−bold′>(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