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Representing Primes as x^2 + 5y^2: An Inductive Proof that Euler Missed

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arxiv math/0606547 v2 pith:6DFHDV4Y submitted 2006-06-22 math.NT

Ying Zhang This is my paper · ORCID
classification math.NT
keywords proofeulerinductiveprimesrepresentingassertioncorrespondingelementary
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We present an elementary inductive proof which Euler could have obtained, for the corresponding result as the title indicates, had he refined a bit his proof for Fermat's assertion on representing primes as two squares.

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  1. An introduction to the algebra of rings and fields

    math.RA 2025-07 unverdicted novelty 2.0 of 10

    A freely licensed undergraduate textbook covering rings, modules, polynomial rings, finite fields, quadratic reciprocity, Gröbner bases, and Smith normal form, with over 200 exercises.

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