EULER, LEONHARD. - THE EULER-FERMAT THEOREM PROVED.

De Superficie Conorum Scalenorum, aliorumqve corporum conicorum. (On the surface of scalene cones and of other conic bodies). (+) Theoremata circa divisores numerorum. (Theorems on divisors of numbers). (2 papers by Euler).

(Petropoli (St. Petersbourg), 1750). 4to. Uncut, without wrappers. Extracted from "Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae", Tom. I. ad Annum 1747 et 1748. Pp. 3-19 a. 1 engraved plate., and pp. 20-48.

First printing of both papers. The second is important as it 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. - Enestroem No. 133 a. 134.

Order-nr.: 42900