Representing Primes as x^2 + 5y^2: An Inductive Proof that Euler Missed
Number Theory
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/0606547,
title = {Representing Primes as x^2 + 5y^2: An Inductive Proof that Euler Missed},
author = {Ying Zhang},
journal= {arXiv preprint arXiv:math/0606547},
year = {2007}
}
Comments
7 pages, no figures. Version 2: Revised as suggested by the referees