Theorems on divisors of numbers
This paper contains Euler's second proof of the Euler-Fermat theorem, which Euler presents as a consequence of the theorem that (a+b)p = ap+bp (mod p). It also includes results about possible divisors of a2n + b2n, and Euler uses this to show once again that 225+1 is not prime.
Original Source Citation
Novi Commentarii academiae scientiarum Petropolitanae, Volume 1, pp. 20-48.
Opera Omnia Citation
Series 1, Volume 2, pp.62-85.