Mathematics Channel
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Created on 04/06/17.

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#geometry

Yes, i can see
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#proof #paper #primenumbers

In July 2017, Romeo Meลกtroviฤ‡ discovered a new, very short proof of the infinitude of primes using a simple "even-odd" argument.

Euclid's theorem on the infinitude of primes has captivated mathematicians for generations since its original proof by Euclid in 300 B.C.

Paul Erdล‘s famously said, "It will be another million years, at least, before we understand the primes," yet this has not deterred mathematicians throughout the centuries from exploring the mysteries of primes and their unique properties.

Many renowned mathematicians from the 18th and 19th centuries, such as Goldbach, Euler, Lebesgue, Kronecker, Hensel, Kummer, Stieltjes, and Hermite, contributed various proofs of the infinitude of primes. Additionally, in the past century, notable mathematicians including I. Schur, K. Hensel, G. Pรณlya, Erdล‘s, and G. H. Hardy, among others, have offered further compelling proofs, including demonstrations of the infinitude of primes in different arithmetic progressions.

There is no way to determine how many different proofs of the infinitude of primes exist and how many will emerge in the coming years.

Romeo's proof annotated: FermatsLibrary
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59Amer.Math.Monthly2015-1.pdf
218.7 KB
Romeo Meลกtroviฤ‡ - A Very Short Proof of the Infinitude of Primes

June 2017. The American Mathematical Monthly 124(6):562
DOI:10.4169/amer.math.monthly.124.6.562
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#arithmetics
sorry, fellas
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