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OMK 2018 Muda, Section B Problem 3

Source: OMK 2018 Muda, Section B Problem 3

June 21, 2021
number theoryPerfect Squares

Problem Statement

Let nn be an integer greater than 11, such that 3n+13n + 1 is a perfect square. Prove that n+1n + 1 can be expressed as a sum of three perfect squares.