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Tuymaada 2024 Juniors 1

Source: Tuymaada 2024 Juniors P1

July 9, 2024
examplesalgebra

Problem Statement

Triangular numbers are numbers of the form 1+2+...+n1 + 2 + . . . + n with positive integer nn, that is 1,3,6,101, 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