ProofWiki:Mathematicians/Édouard Lucas
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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.
Contents |
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
