Euler E702: On a new kind of arithmetic question for whose solution a definite method is still lacking | English translation | OMH v1.0

English translation of Leonhard Euler’s E702, On a new kind of arithmetic question for whose solution a definite method is still lacking. AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with limited scholarly human inspection. Version 2.0 is reserved for a fully reviewed edition. Sources: Leonhard Euler, “De novo genere quaestionum arithmeticarum pro quibus solvendis certa methodus adhuc desideratur,” Nova Acta Academiae Scientiarum Imperialis Petropolitanae, XI (Petropoli, 1798), pp. 78–93 and applicable volume errata; NHM Library facsimile; Euler Archive E702.