TUYMAADA 2024 J1

Junior

Triangular numbers are numbers of the form $1 + 2 + . . . + n$ with positive integer $n$ , that is $1, 3, 6, 10$ , . . . . Find the largest non-triangular positive integer number that cannot be represented as the sum of distinct triangular numbers. Proposed by A. Golovanov

Dataset text AI-MO AoPS. Quoted with source.

Official text: Tuymaada Olympiad 2024 official paper, page 1.

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