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 Derrick Henry 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 Henry Lehmer)
- Lucas Prime
- Gauss-Lucas Theorem (with Carl Friedrich Gauss)
- Lucas' Theorem
- Pell-Lucas Numbers (with John Pell)
- Lucas-Carmichael Number (with Robert Daniel Carmichael)
- Fibonomial Coefficient (named for Leonardo Fibonacci)
Results named for François Édouard Anatole Lucas can be found here.
Definitions of concepts named for François Édouard Anatole Lucas can be found here.
Publications
- 1873: Recherches sur l'analyse indéterminée (Bull. Soc. d'émulation du département de l'Allier Vol. 12: pp. 441 – 532)
- 1877: Recherches Sur Plusieurs Ouvrages De Léonard De Pise Et Sur Diverses Questions D’Arithmétique Supérieure
- 1878: Théorie des Fonctions Numériques Simplement Périodiques (Amer. J. Math. Vol. 1, no. 2: pp. 184 – 196) www.jstor.org/stable/2369308
- 1878: Théorie des Fonctions Numériques Simplement Périodiques (Amer. J. Math. Vol. 1, no. 3: pp. 197 – 240) www.jstor.org/stable/2369311
- 1878: Théorie des Fonctions Numériques Simplement Périodiques (Amer. J. Math. Vol. 1, no. 4: pp. 289 – 321) www.jstor.org/stable/2369373
- 1883: The Tower of Hanoi puzzle
- 1891: Théorie des nombres, Tome Premier
- 1894: Récréations mathématiques
- 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.
Sources
- John J. O'Connor and Edmund F. Robertson: "François Édouard Anatole Lucas": MacTutor History of Mathematics archive
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): A List of Mathematicians in Chronological Sequence
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $11$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): A List of Mathematicians in Chronological Sequence
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $11$