A proof of certain theorems regarding prime numbers
This paper presents the first proof of the Euler-Fermat theorem, also known as Fermat's Little Theorem, that ap-1 = 1 (mod p) for all a relatively prime to p. Euler begins by showing that 2p-1 = 1 (mod p for any prime other than 2, after which he shows that 3p-1 = 1 (mod p) for any prime other than 3. He then concludes via mathematical induction that the formula holds for all a relatively prime to p. (Based on David Zhao's translation abstract.)
Original Source Citation
Commentarii academiae scientiarum Petropolitanae, Volume 8, pp. 141-146.
Opera Omnia Citation
Series 1, Volume 2, pp.33-37.