Wednesday, October 13, 2010

15th Eötvös Competition Problems 1908

1.  m and n are odd. Show that 2k divides m3 - n3 iff it divides m - n. 2.  Let a right angled triangle have side lengths a > b > c. Show that for n > 2, an > bn + cn. 3.  Let the vertices of a regular 10
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