olymmath

NL-NWO 2006 Problem 3

    1+2+3+4+5+6=6+7+81+2+3+4+5+6=6+7+8 . What is the smallest number kk greater than 66 for which: 1+2+...+k=k+(k+1)+...+n1 + 2 +...+ k = k + (k+1) +...+ n , with nn an integer greater than kk ?

    Dataset text AI-MO AoPS. Quoted with source.

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