Theorems about the divisors of numbers contained in the form $paa \pm qbb$
History and Overview
2007-05-23 v1 Number Theory
Abstract
Euler states without proof statements about the form of prime divisors of numbers of the form aa+Nbb. See Ed Sandifer's How Euler Did It, ``Factors of Forms'', December 2005 at http://www.maa.org/news/howeulerdidit.html for a summary of the paper.
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Cite
@article{arxiv.math/0606057,
title = {Theorems about the divisors of numbers contained in the form $paa \pm qbb$},
author = {Leonhard Euler},
journal= {arXiv preprint arXiv:math/0606057},
year = {2007}
}
Comments
24 pages, translation of ``Theoremata circa divisores numerorum in hac forma $paa \pm qbb$ contentorum'', Commentarii academiae scientiarum Petropolitanae 14 (1751), 151-181