Undergrad Compilations of proofs of Euclid's Theorem on primes

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The discussion centers on finding references for compilations of proofs of Euclid's Theorem on the infinitude of primes. A participant mentions a compilation of 183 proofs available on Wikipedia and acknowledges the resourcefulness of Arxiv. Another contributor shares that they have published an article featuring three new demonstrations of the infinitude of prime numbers, including a novel geometric approach using angles between lattice vectors. The article is linked for further reading. The conversation highlights the ongoing exploration and innovation in mathematical proofs related to prime numbers.
DaTario
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Hi All. Does anybody have a reference (besides those of Paulo Ribenboim) where one can find a compilation of demonstrations of the Euclid's theorem on the infinitude of primes?
Hi All. Does anybody have a reference, (book, internet site) - besides those books of Paulo Ribenboim - where one can find a compilation of demonstrations of the Euclid's theorem on the infinitude of primes?
As a suggestion, if the known proofs are neither too many not too long, it would be nice to have them described here in this post.
DaTario
 
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Thank you, mfb, very much. I have forgotten the Arxiv.
Let's forget about describing them here...too many.
 
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News in this topic. I ended up publishing an article in the meanwhile where I present three new demonstrations of the infinitude of prime numbers. One is actually a new formulation of the proof given by Euclid expressed in terms of angles between vectors of an entire lattice in k dimensions. Although this is geometry in k dimensions, it is only necessary in this proof to use the dot product between pairs of vectors to check orthogonality. Below is the link to the article.

https://ems.press/journals/em/articles/17433

https://www.researchgate.net/publication/348610736_Infinitude_of_primes_Euclid's_proof_using_angles_between_lattice_vectors

Best wishes.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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