Easy Number Theory
Source: INMO 2024/3
January 21, 2024
number theorymodular arithmeticDivisibility
Problem Statement
Let be an odd prime and be integers so that the integers a^{2023}+b^{2023}, b^{2024}+c^{2024}, a^{2025}+c^{2025} are divisible by .
Prove that divides each of .
Proposed by Navilarekallu Tejaswi