E557 -- De quibusdam eximiis proprietatibus circa divisores potestatum occurrentibus

(English Translation of Title)


Euler considers the following problem: Find, for a given divisor N, the smallest power of a number, an that has its residue equal to 1. Or, more generally, find the smallest power an that leaves a given residue r (Jeff Lagariasí discrete logs problem).

According to the records, it was presented to the St. Petersburg Academy on January 25, 1773.

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