François Proth [SEP] country of citizenship
François Proth
François Proth (1852 – 1879) was a French self-taught mathematician farmer who lived in Vaux-devant-Damloup near Verdun, France.
He stated four primality-related theorems. The most famous of these, Proth's theorem, can be used to test whether a Proth number (a number of the form "k"2 + 1 with "k" odd and "k" < 2) is prime. The numbers passing this test are called Proth primes; they continue
Proth number
In number theory, a Proth number is a number of the form
where formula_2 is an odd positive integer and formula_3 is a positive integer such that formula_4. They are named after the mathematician François Proth. The first few Proth numbers are
The Cullen numbers (numbers of the form ) and Fermat numbers (numbers of the form ) are special cases of Proth numbers. Without the condition that formula_4, all odd integers greater than 1 would be Proth numbers.
Proth primes.
A Proth prime