• Thumbnail for Édouard Lucas
    François Édouard Anatole Lucas (French pronunciation: [fʁɑ̃swa edwaʁ anatɔl lykɑ]; 4 April 1842 – 3 October 1891) was a French mathematician. Lucas is known...
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  • base p expansions of the integers m and n. Lucas's theorem first appeared in 1878 in papers by Édouard Lucas. For non-negative integers m and n and a prime...
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  • superset of Fermat numbers (see below). Lucas sequences are named after the French mathematician Édouard Lucas. Given two integer parameters P {\displaystyle...
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  • In mathematics, a Lucas chain is a restricted type of addition chain, named for the French mathematician Édouard Lucas. It is a sequence a0, a1, a2, a3...
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  • mathematics, the Lucas–Lehmer test (LLT) is a primality test for Mersenne numbers. The test was originally developed by Édouard Lucas in 1878 and subsequently...
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  • industrialist Édouard Lalo (1823–1892), French composer Édouard Lockroy (1838–1913), French politician Édouard Louis (born 1992), French Writer Édouard Lucas (1842–1891)...
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  • Thumbnail for Dots and boxes
    It was first published in the 19th century by French mathematician Édouard Lucas, who called it la pipopipette. It has gone by many other names, including...
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  • otherwise would be Lucas–Carmichael numbers (since n3 + 1 = (n + 1)(n2 − n + 1) is always divisible by n + 1). They are named after Édouard Lucas and Robert Carmichael...
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  • Thumbnail for Pell number
    the numbers derived from it to John Pell. The Pell–Lucas numbers are also named after Édouard Lucas, who studied sequences defined by recurrences of this...
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  • sometimes called Blissard's symbolic method. They are often attributed to Édouard Lucas (or James Joseph Sylvester), who used the technique extensively. In...
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  • Thumbnail for Fibonacci sequence
    "Fibonacci sequence" was first used by the 19th-century number theorist Édouard Lucas. Like every sequence defined by a linear recurrence with constant coefficients...
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  • Thumbnail for Tower of Hanoi
    Tower of Hanoi (redirect from Lucas tower)
    French mathematician Édouard Lucas, first presented in 1883 as a game discovered by "N. Claus (de Siam)" (an anagram of "Lucas d'Amiens"), and later...
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  • Thumbnail for Round-robin tournament
    the graph and the schedule were reported by Édouard Lucas in as a recreational mathematics puzzle. Lucas, who describes the method as simple and ingenious...
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  • 1975), basketball player E. V. Lucas (1868–1938), British author Édouard Lucas (1842–1891), French mathematician Eduardo Lucas, a fictional character from...
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  • Thumbnail for Largest known prime number
    provided). M127 170,141,183,460,469,231,731,687,303,715,884,105,727 39 1876 Édouard Lucas 2 148 + 1 17 {\displaystyle {\tfrac {2^{148}+1}{17}}} 20,988,936,657...
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  • Thumbnail for D. H. Lehmer
    of computational number theory. Lehmer refined Édouard Lucas' work in the 1930s and devised the Lucas–Lehmer test for Mersenne primes. His peripatetic...
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  • prime). Mersenne gave little indication of how he came up with his list. Édouard Lucas proved in 1876 that M127 is indeed prime, as Mersenne claimed. This...
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  • {n-1}{q}}\equiv 1{\pmod {n}}}} continue LOOP1 return possibly composite. Édouard Lucas, for whom this test is named Fermat's little theorem Pocklington primality...
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  • Gallot's proth.exe has been used to find factors of large Fermat numbers. Édouard Lucas, improving Euler's above-mentioned result, proved in 1878 that every...
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  • Tower of Hanoi, a puzzle invented in 1883 by the French mathematician Édouard Lucas. There are different variations of the puzzle: the classic version consists...
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  • Thumbnail for Maze-solving algorithm
    Ecole Polytechnique of Paris (X:1876), French engineer of the telegraph Édouard Lucas: Récréations Mathématiques Volume I, 1882. H. Fleischner: Eulerian Graphs...
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  • Thumbnail for Genaille–Lucas rulers
    no intermediate mental calculations. In 1885, French mathematician Édouard Lucas posed an arithmetic problem during a session of the Académie française...
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  • Thumbnail for Lucas number
    The Lucas sequence is an integer sequence named after the mathematician François Édouard Anatole Lucas (1842–1891), who studied both that sequence and...
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  • JSTOR 2324061, MR 1166003. Hinz attributes this observation to an 1891 book by Édouard Lucas, Théorie des nombres (p. 420). Ian Stewart, "How to Cut a Cake", Oxford...
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  • Thumbnail for Cannonball problem
    posed to him by Sir Walter Raleigh on their expedition to America. Édouard Lucas formulated the cannonball problem as a Diophantine equation ∑ n = 1...
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  • Thumbnail for Icosian game
    along the polygon, and the other player must complete the polygon. Édouard Lucas describes the shape of any possible solution, in a way that can be remembered...
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  • Thumbnail for Baguenaudier
    pillar with an embedded ring. The 19th-century French mathematician Édouard Lucas, the inventor of the Tower of Hanoi puzzle, was known to have come up...
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  • collected by the editor). Almost all of the questions are signed by Édouard Lucas as is number 92: Prouver que 261 − 1 et 2127 − 1 sont des nombres premiers...
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  • Thumbnail for List of Mersenne primes and perfect numbers
    Mathematical Society. s2-13 (1): iv–xl. 1914. doi:10.1112/plms/s2-13.1.1-s. Lucas, Édouard (1876). "Note sur l'application des séries récurrentes à la recherche...
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  • exegete and textual critic from the Habsburg Netherlands. François Édouard Anatole Lucas (4 April 1842 – 3 October 1891), a French mathematician. This disambiguation...
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