olymmath

OPM 2000 Problem 3

  • Final day 1

Determine, for each positive integer nn , the largest positive integer kk such that 2k2^k is a divisor of 3n+13^n+1 .

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2000 official paper, page 1.

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