MathBiceps : Olympiad Problem Gym Q1 - RMO 2023 Q1 скачать в хорошем качестве

MathBiceps : Olympiad Problem Gym Q1 - RMO 2023 Q1

RMO 2023 Problem 1 Full Solution | a² + b² + c² = d² | Divisibility and Number Theory Regional Mathematical Olympiad 2023 Question Let N be the set of all positive integers and define S = all quadruples a, b, c, d in N such that a² + b² + c² = d² Find the largest positive integer m such that m divides abcd for every quadruple in S. For Doubts - 1) mathbiceps.com - Click on Ask - Doubts 2) Reddit -   / mathbiceps   3) Telegram - https://t.me/mathbiceps_doubts This is a beautiful number theory and divisibility problem from RMO 2023. The question looks simple, but it requires deep structural understanding of solutions to the equation a² + b² + c² = d² In this full solution, we explore • Properties of sums of three squares • Parity arguments and modular arithmetic • Hidden divisibility structure in Diophantine equations • Why a fixed integer must divide the product abcd for all solutions • How Olympiad problems test invariants and universality This is a must watch for students preparing for IOQM RMO INMO IMO pathway Advanced number theory If you are serious about Olympiad mathematics and want to develop proof writing and structural thinking, this problem is pure gold. #MathBiceps #RMO2023 #IOQM #INMO #OlympiadMath #NumberTheory #Divisibility #DiophantineEquation #SumOfSquares #indianmatholympiad