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Yes, i can see

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In July 2017, Romeo Meštrović 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 Erdős 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. Pólya, Erdős, 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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Romeo Meštrović - 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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