Francois Proth

(1852 - 1879)


Francois Proth was a self-taught farmer, who lived all his short life in the village of

"Vaux devant Damloup" near Verdun in France.


He produced four theorems that can be used for testing the primality of integers. The most famous one is called Proth' s theorem.

 

PROTH' S THEOREM (1878):

Let N = k*2n + 1 with k < 2n

If there is an integer a such that a((N-1)/2) = -1 (mod N), then N is prime !