Infinite prime numbers | Number Theory | Euclid’s Theorem | Mathematical Proof | Math Olympiad

Опубликовано: 30 Июнь 2026
на канале: Understanding Maths Olympiad
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Today I will go through a very famous theorem called Euclid’s Theorem.
Given its importance and fundamental nature, the Euclid’s Theorem is one of the first theorems you learn when studying Number Theory in Mathematics, normally in the first year of college.

In this video, we will together formulate a robust mathematical proof to the Theorem. This requires carefully defining our variables and constructing the logic step-by-step to ensure there is no flaw in all angles. The Theorem’s mathematical statement is trivial but it takes a good amount of attention and effort to prove. This will be a very good example of how proof works in advanced mathematics.

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