• 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...
    8 KB (1,340 words) - 12:58, 4 March 2025
  • Thumbnail for Fibonacci sequence
    "Fibonacci sequence" was first used by the 19th-century number theorist Édouard Lucas. Like every sequence defined by a homogeneous linear recurrence with...
    86 KB (13,044 words) - 03:56, 6 March 2025
  • 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...
    50 KB (7,124 words) - 18:26, 22 February 2025
  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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 Largest known prime number
    17014118346046923173 1687303715884105727 1701411834604692317 31687303715884105727 1876 Édouard Lucas 2 148 + 1 17 {\displaystyle {\tfrac {2^{148}+1}{17}}} 44 20988936657440586486...
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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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  • 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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  • 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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  • 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 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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  • sometimes called Blissard's symbolic method. They are often attributed to Édouard Lucas (or James Joseph Sylvester), who used the technique extensively. The...
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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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  • 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 Ménage problem
    here to a male-female couple.) This problem was formulated in 1891 by Édouard Lucas and independently, a few years earlier, by Peter Guthrie Tait in connection...
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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 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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  • 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 Close-packing of equal spheres
    square arrangements of cannonballs can be stacked into a square pyramid. Édouard Lucas formulated the problem as the Diophantine equation ∑ n = 1 N n 2 = M...
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  • y, z) = (n, n, 3) and all its permutations were proven for n ≥ 3 by Édouard Lucas, Bjorn Poonen, and Darmon and Merel. The case (x, y, z) = (2n, 2n, 5)...
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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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  • Joseph Hergenröther, German historian and cardinal (b. 1824) 1891 – Édouard Lucas, French mathematician and theorist (b. 1842) 1896 – William Morris,...
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  • {\displaystyle 2^{127}-1} , which is also a Mersenne prime. It was discovered by Édouard Lucas in 1876 and held the record for the largest known prime for 75 years...
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