Top 5 HARDEST MATH PROOFS PUBLISHED

@mathineer

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Why it worked

The video leverages a popular educational format (top 5 lists) combined with visually engaging graphics and intriguing mathematical concepts to capture audience attention. The use of well-known theorems like Fermat's Last Theorem adds to its appeal and shareability within the STEM community.

Summary

This slideshow presents the top 5 hardest math proofs ever published. It details each proof, starting with Fermat's Last Theorem and ending with the Kepler Conjecture, explaining their significance and the mathematicians involved.

Structure

1Introduction to the top 5 hardest math proofs
2Kepler Conjecture
3Four Color Theorem
4Poincare Conjecture
5Classification of finite simple groups
6Fermat's Last Theorem

On-screen text

Top 5 HARDest MATH PROOFS PUBLISHED 5. Kepler Conjecture This proof states that the densest way to pack spheres is in a pyramid-like structure. Prooven by Thomas Hales using computer verification 4. Four Color Theorem States that any map can be colored with at most four colors so that no two adjacent regions share the same color. 3. Poincare Conjecture Any simply connected, closed 3-manifold is homeomorphic to a 3-sphere. It was proven by Grigori Perelman in 2003 2. Classification of finite Simple Groups It states that all finite simple groups fall into known families. It spans over 10,000 pages of proof 1. Fermat's Last Theorem Here μ runs TH(M) → (Sg Fermat claimed to have a "marvelous proof" but never wrote it down, leading to a 350-year mystery that was finally solved by Andrew Wiles