Fermat Theorems -- Simple Proofs
Robert J Sibner
TL;DR
This paper presents straightforward proofs of Fermat's theorems on prime representations using the Modular Group, simplifying classical results for specific prime congruences.
Contribution
It introduces simple proofs for Fermat's theorems on prime representations leveraging the properties of the Modular Group, offering a more accessible approach.
Findings
Proofs for primes ≡ 1 (mod 4) using the Modular Group
Proofs for primes ≡ 1 (mod 3) using the Modular Group
Simplification of classical Fermat theorems
Abstract
The Modular Group provides simple proofs of Fermat's representations: X^2+Y^2 for primes congruent to 1 (mod 4) and by X^2+3Y^2 for primes congruent to 1 (mod 3)
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Taxonomy
TopicsHistory and Theory of Mathematics · Mathematics and Applications