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P22 [Number Theory] - Turkish NMO 1st Round - 2005

Source:

October 26, 2013

Problem Statement

For which kk, there is no integer pair (x,y)(x,y) such that x2−y2=kx^2 - y^2 = k?
<spanclass=′latex−bold′>(A)</span> 2005<spanclass=′latex−bold′>(B)</span> 2006<spanclass=′latex−bold′>(C)</span> 2007<spanclass=′latex−bold′>(D)</span> 2008<spanclass=′latex−bold′>(E)</span> 2009 <span class='latex-bold'>(A)</span>\ 2005 \qquad<span class='latex-bold'>(B)</span>\ 2006 \qquad<span class='latex-bold'>(C)</span>\ 2007 \qquad<span class='latex-bold'>(D)</span>\ 2008 \qquad<span class='latex-bold'>(E)</span>\ 2009
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