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

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

2006-06-22

arxiv.org/abs/math/0606547v2

Mathematics

Number Theory

7 pages, no figures. Version 2: Revised as suggested by the referees

Scientific paper

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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