Euler E283: On very large prime numbers | English translation | OMH v1.0

Abstract

English translation of “De numeris primis valde magnis” by Leonhard Euler (Eneström E283), titled “On very large prime numbers.” Historical table errors and omissions are preserved; the uncertain superscript at a = 193 remains qualified. Prepared for Open Math Heritage with OpenAI-assisted translation, mathematical transcription and LaTeX typesetting. OMH v1.0 is a machine-assisted draft that has undergone a full, fresh AI-assisted technical audit of source coverage, translation, formulas, tables and figures where present, and rendered output. This is not a claim of human scholarly review or certification of the historical mathematics. Version 2 is reserved for a fully reviewed edition. Original publication: Novi Commentarii academiae scientiarum Petropolitanae, vol. 9 (years 1762–1763, printed 1764), pp. 99–153, including all numerical tables. Sources: https://scholarlycommons.pacific.edu/euler-works/283/. The independent source record reports NOT_IN_COPYRIGHT; no Creative Commons scan license or new translation license is inferred. The original historical text is public domain by age; no publication license is assigned here to the new translation or editorial notes.