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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In mathematics, the Lucas–Lehmer–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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Henry Lehmer refined Lucas's primality tests and obtained the Lucas–Lehmer 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 Lucas–Lehmer primality test for Mersenne primes Lucas' reagent, used to...
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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...
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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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Prime number (redirect from Primality)
Pépin's test for Fermat numbers (1877), Proth's theorem (c. 1878), the Lucas–Lehmer 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 Lucas–Lehmer 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 Lucas–Lehmer primality test, but the availability of Lucas–Lehmer assignments was deprecated in April 2021 to...
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project relied primarily on the Lucas–Lehmer 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 Lucas–Lehmer 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 Lucas–Lehmer–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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development 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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Derrick Henry Lehmer Lehmer number, in mathematics Lehmer's polynomial, named after Derrick Henry Lehmer Lucas–Lehmer 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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complexity theory; Derrick Henry Lehmer's use of ENIAC to further number theory and the Lucas–Lehmer primality test; Rózsa Péter's recursive function...
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List of number theory topics (section Primality tests)
Baillie–PSW primality test Miller–Rabin primality test Lucas–Lehmer primality test Lucas–Lehmer 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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Jacobi symbol (section Primality testing)
it as an error detection routine during the execution of the Lucas–Lehmer primality test which, even on modern computer hardware, can take weeks to complete...
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Look-and-say sequence Lucas numbers Lucas–Lehmer primality test Mandelbrot set (draw) Mersenne primes Miller–Rabin primality test Morse code Numerical...
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early computers to obtain results. For example, he coded the Lucas–Lehmer 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 Lucas–Lehmer 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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