Theorems about the divisors of numbers contained in the form $paa \pm qbb$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113010Euler 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.24 pages, translation of ``Theoremata circa divisores numerorum in hac forma $paa \pm qbb$ contentorum'', Commentarii academiae scientiarum Petropolitanae 14 (1751), 151-181History and OverviewNumber Theory01A50; 11E16Theorems about the divisors of numbers contained in the form $paa \pm qbb$text