Solving Number Theory Problem From NBHM 2023 | Solved with two Methods

Описание: In today's video, we tackle an intriguing number theory problem from NBHM 2023 exam!

Problem: Find all integers m, 2 ≤ m ≤ 999 such that m^2 ≡ m mod 1000

We solve this problem using two distinct approaches:
1. A basic number theory approach.
2. A ring theory approach.

This comprehensive video is perfect for anyone interested in seeing different mathematical techniques in action. Whether you're a student preparing for Mathematics exams like NBHM, TIFR Mathematics, CMI, CSIR NET Mathematics, IIT JAM Mathematics or a math enthusiast, this video will provide valuable insights and methods.

Video Keywords: number theory, numbers, integers, Congruence modulo n, a divides b, Chinese Remainder theorem, ring theory, rings, quotient ring, direct product of rings, Idempotent elements, local rings.

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