E134 -- Theoremata circa divisores numerorum

(Theorems on divisors of numbers)


This paper contains Euler'is second proof of the Euler-Fermat theorem, which Euler presents as a consequence of the theorem that (a+b)p = ap+bp (mod p). This paper also includes results about possible divisors of a2n + b2n, and Euler uses this to show again that F5 is not prime.

According to C. G. J. Jacobi, a treatise with this title was read to the Berlin Academy on March 23, 1747.

According to the records, it was presented to the St. Petersburg Academy on September 2, 1748.

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