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

Also known as
Usually known as Édouard Lucas.

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

Sometimes, for typographical convenience, his first name or initial appears without the accent: E. Lucas.