30th British Mathematical Olympiad 1994 Problems1. Find the smallest integer n > 1 such that (12 + 22 + 32 + ... + n2)/n is a square. 2. How many incongruent triangles have integer sides and perimeter 1994?
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30th British Mathematical Olympiad 1994 Problems1. Find the smallest integer n > 1 such that (12 + 22 + 32 + ... + n2)/n is a square. 2. How many incongruent triangles have integer sides and perimeter 1994?