What question did this study set out to answer?

The goal is to prove that there are infinitely many Pythagorean primes.

April 1, 20260 citationsOpen Access

Proof of the Infinity of Pythagorean Primes via Barning's Matrix

NYNaoya YamaguchiUniversity of Miyazaki YYYuka YamaguchiUniversity of Miyazaki

Key Points

The goal is to prove that there are infinitely many Pythagorean primes.
Utilized Barning's matrix in the proof process.
Applied Saidak's method, which is related to Euclid's theorem.
Successfully demonstrated the infinity of Pythagorean primes.

Abstract

We give a proof of the infinity of Pythagorean primes by using Barning's matrix. Our proof is based on the Saidak's method for the proof of Euclid's theorem.

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Cite This Study

Yamaguchi et al. (Mon,) studied this question.

synapsesocial.com/papers/69cd7ae65652765b073a86ed https://doi.org/https://doi.org/10.34481/0002000780