MathDB
Integer triangles

Source: ICMC 2022 Round 1 P1

December 4, 2021
combinatoricscollege contestscountingICMC

Problem Statement

Let TnT_n be the number of non-congruent triangles with positive area and integer side lengths summing to nn. Prove that T2022=T2019T_{2022}=T_{2019}.
Proposed by Constantinos Papachristoforou
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