olymmath

OPM 2011 Problem 6

  • Final day 2

The number 10001000 can be written as the sum of 1616 consecutive natural numbers: 1000=55+56+...+70.1000 = 55 + 56 + ... + 70. Determines all natural numbers that cannot be written as the sum of two or more consecutive natural numbers .

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2011 official paper, page 1.

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