English Title
A proof of certain theorems regarding prime numbers
Enestrom Number
54
Fuss Index
24
Original Language
Latin
Content Summary
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.)
Published as
Journal article
Published Date
1741
Written Date
1736
Original Source Citation
Commentarii academiae scientiarum Petropolitanae, Volume 8, pp. 141-146.
Opera Omnia Citation
Series 1, Volume 2, pp.33-37.
Record Created
2018-09-25
