Euclid's Theorem

In this video, we explore Euclid’s Theorem, one of the most elegant proofs in mathematics: that there are infinitely many prime numbers. Using simple logic from 300 BCE, Euclid showed that no finite list of primes can ever be complete—a result that still amazes mathematicians today. 📌 What You’ll Learn: ✅ How Euclid’s proof by contradiction works (step-by-step animation). ✅ Why adding 1 to the product of primes always generates a new prime or reveals missing primes. ✅ Concrete examples (like 2×3×5 + 1 = 31) to test the theorem yourself! 🎥 Animated with Manim: Visualizing math for clarity and beauty. 🔗 Manim Community: https://www.manim.community/ 💡 Love math, algorithms, or cryptography? Like, subscribe, and hit the bell (🔔) for more timeless proofs! #euclidean #numbertheory #primenumber #primenumbers #mathproof #mathproofs #infinite #manim #mathanimation #matheducation #mathematics #math #maths #iteachmath