Mathematician:François Édouard Anatole Lucas

Mathematician
French mathematician best known for his study of the Fibonacci numbers. As a result of his researches, discovered what are now known as the Lucas numbers.

In $1876$, proved that the Mersenne number $M_{127}$ is prime, and discovered that $M_{67}$ is actually composite.

Discovered a method of determining the primality of a Mersenne number. This technique was refined in the $1930$s by and became known as the Lucas-Lehmer Test.

Nationality
French

History

 * Born: April 4, 1842
 * Died: October 3, 1891

Theorems and Definitions

 * Lucas Numbers
 * Lucas-Lehmer Test for Mersenne primes (with )
 * Lucas Prime
 * Gauss-Lucas Theorem (with )
 * Lucas' Theorem
 * Pell-Lucas Numbers (with )
 * Lucas-Carmichael Number (with )


 * Fibonomial Coefficient (named for )

Publications

 * 1877: Recherches Sur Plusieurs Ouvrages De Léonard De Pise Et Sur Diverses Questions D’Arithmétique Supérieure
 * 1883: The Tower of Hanoi puzzle
 * 1891: Théorie des nombres, Tome Premiere
 * 1894:
 * 1895: L'arithmétique amusante
 * 1891: Théorie des nombres, Tome Premiere
 * 1894:
 * 1895: L'arithmétique amusante

Also known as
Usually known as Édouard Lucas.

Published his famous Tower of Hanoi puzzle under the name M. Claus.