Mathematician:François Édouard Anatole Lucas

Full name: François Édouard Anatole Lucas.

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 Derrick Lehmer 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 Derrick Lehmer)
 * Lucas prime
 * Gauss-Lucas Theorem (with Carl Friedrich Gauss)
 * Lucas' Theorem

Books, Papers and Other Creations

 * 1877: Recherches Sur Plusieurs Ouvrages De Léonard De Pise Et Sur Diverses Questions D’Arithmétique Supérieure
 * 1878: Théorie des Fonctions Numériques Simplement Périodiques
 * 1883: The Tower of Hanoi puzzle
 * 1891: Théorie des nombres, Tome Premiere
 * 1894: Récréations mathématiques
 * 1895: L'arithmétique amusante