• mathematics, the LucasLehmer 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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  • In mathematics, the LucasLehmer–Riesel test is a primality test for numbers of the form N = k · 2n − 1 with odd k < 2n. The test was developed by Hans...
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  • Thumbnail for Édouard Lucas
    Henry Lehmer refined Lucas's primality tests and obtained the LucasLehmer primality test. He worked on the development of the umbral calculus. Lucas is...
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  • In computational number theory, the Lucas test is a primality test for a natural number n; it requires that the prime factors of n − 1 be already known...
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  • Lucas test may refer to Lucas primality test for primality of general numbers LucasLehmer primality test for Mersenne primes Lucas' reagent, used to...
    238 bytes (62 words) - 18:06, 15 October 2021
  • A primality test is an algorithm for determining whether an input number is prime. Among other fields of mathematics, it is used for cryptography. Unlike...
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  • The Miller–Rabin primality test or Rabin–Miller primality test is a probabilistic primality test: an algorithm which determines whether a given number...
    38 KB (5,639 words) - 20:26, 3 May 2025
  • the Pocklington–Lehmer primality test is a primality test devised by Henry Cabourn Pocklington and Derrick Henry Lehmer. The test uses a partial factorization...
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  • The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality-proving algorithm created...
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  • Thumbnail for Prime number
    Prime number (redirect from Primality)
    Pépin's test for Fermat numbers (1877), Proth's theorem (c. 1878), the LucasLehmer primality test (originated 1856), and the generalized Lucas primality test...
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  • is the number of times we test a random a, and n is the value we want to test for primality; see Miller–Rabin primality test for details. There are infinitely...
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  • test to determine whether a given Mersenne number is prime: the LucasLehmer primality test (LLT), which makes it much easier to test the primality of...
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  • Prime95 (category Primality tests)
    prime"). For much of its history, it used the LucasLehmer primality test, but the availability of LucasLehmer assignments was deprecated in April 2021 to...
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  • Thumbnail for Great Internet Mersenne Prime Search
    project relied primarily on the LucasLehmer primality test as it is an algorithm that is both specialized for testing Mersenne primes and particularly...
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  • urinary stones LLT GM High Feature engine, a type of engine LucasLehmer primality test for Mersenne numbers Cholesky decomposition, an algorithm to...
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  • commonly used Baillie–PSW primality test. Lucas sequences are used in some primality proof methods, including the LucasLehmer–Riesel test, and the N+1 and hybrid...
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  • primality test? More unsolved problems in mathematics The Baillie–PSW primality test is a probabilistic or possibly deterministic primality testing algorithm...
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  • The Solovay–Strassen primality test, developed by Robert M. Solovay and Volker Strassen in 1977, is a probabilistic primality test to determine if a number...
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  • curve primality testing techniques, or elliptic curve primality proving (ECPP), are among the quickest and most widely used methods in primality proving...
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  • Thumbnail for D. H. Lehmer
    development of computational number theory. Lehmer refined Édouard Lucas' work in the 1930s and devised the LucasLehmer test for Mersenne primes. His peripatetic...
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  • Derrick Henry Lehmer Lehmer number, in mathematics Lehmer's polynomial, named after Derrick Henry Lehmer LucasLehmer primality test, in mathematics, after...
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  • science, a primality certificate or primality proof is a succinct, formal proof that a number is prime. Primality certificates allow the primality of a number...
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  • Thumbnail for History of mathematics
    complexity theory; Derrick Henry Lehmer's use of ENIAC to further number theory and the LucasLehmer primality test; Rózsa Péter's recursive function...
    140 KB (16,338 words) - 05:36, 15 June 2025
  • Baillie–PSW primality test Miller–Rabin primality test LucasLehmer primality test LucasLehmer test for Mersenne numbers AKS primality test Pollard's p − 1...
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  • In computational number theory, the Adleman–Pomerance–Rumely primality test is an algorithm for determining whether a number is prime. Unlike other, more...
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  • Thumbnail for Jacobi symbol
    it as an error detection routine during the execution of the LucasLehmer primality test which, even on modern computer hardware, can take weeks to complete...
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  • Thumbnail for Rosetta Code
    Look-and-say sequence Lucas numbers LucasLehmer primality test Mandelbrot set (draw) Mersenne primes Miller–Rabin primality test Morse code Numerical...
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  • Thumbnail for Raphael M. Robinson
    early computers to obtain results. For example, he coded the LucasLehmer primality test to determine whether 2n − 1 was prime for all prime n < 2304...
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  • distribution of numbers of prime factors of Mersenne numbers LucasLehmer primality test Lucas primality test Catalan's Mersenne conjecture Mersenne's laws Bateman...
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  • Pépin's test is a primality test, which can be used to determine whether a Fermat number is prime. It is a variant of Proth's test. The test is named...
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