238 Divides 7^m+7^n? | IOQM, NMTC & AMC Number Theory Problem | Vertex Math Academy Olympiads
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YouTubeVERTEX OLYMPIADS MATH
238 Divides 7^m+7^n? | IOQM, NMTC & AMC Number Theory Problem | Vertex Math Academy Olympiads
Can you solve this challenging Number Theory problem from the Olympiad level? Problem: Suppose that m and n are positive integers such that 238 divides 7^m+7^n. Find the smallest possible value of m+n. In this video, we solve the problem using: * Congruences (Modular Arithmetic) * Divisibility Techniques * Orders of Integers Modulo n * Olympiad ...
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