François Proth
Encyclopedia
François Proth was a French
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...

 self-taught mathematician farmer who lived in Vaux-devant-Damloup
Vaux-devant-Damloup
Vaux-devant-Damloup is a commune in the Meuse department in Lorraine in north-eastern France.Population: 80.Fort Vaux is located on the territory of the commune....

 near Verdun
Verdun
Verdun is a city in the Meuse department in Lorraine in north-eastern France. It is a sub-prefecture of the department.Verdun is the biggest city in Meuse, although the capital of the department is the slightly smaller city of Bar-le-Duc.- History :...

, France
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...

. He stated four primality-related theorems, the most famous of which is Proth's theorem
Proth's theorem
In number theory, Proth's theorem is a primality test for Proth numbers.It states that if p is a Proth number, of the form k2n + 1 with k odd and k In number theory, Proth's theorem is a primality test for Proth numbers....

, published around 1878. Proth numbers, related to the above mentioned theorem, are named after him.

The cause of Proth's death is not known.

See also

  • Gilbreath's conjecture
    Gilbreath's conjecture
    Gilbreath's conjecture is a hypothesis, or a conjecture, in number theory regarding the sequences generated by applying the forward difference operator to consecutive prime numbers and leaving the results unsigned, and then repeating this process on consecutive terms in the resulting sequence, and...

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