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...

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...

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...

The Miller–Rabin primality test or Rabin–Miller primality test is a probabilistic primality test: an algorithm which determines whether a given number...

primality test? More unsolved problems in mathematics The Baillie–PSW primality test is a probabilistic or possibly deterministic primality testing algorithm...

{\displaystyle N} is prime. It produces a primality certificate to be found with less effort than the Lucas primality test, which requires the full factorization...

Lehmer refined Lucas's primality tests and obtained the Lucas–Lehmer primality test. He worked on the development of the umbral calculus. Lucas is credited...

Lucas test may refer to Lucas primality test for primality of general numbers Lucas–Lehmer primality test for Mersenne primes Lucas' reagent, used to...

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...

The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality-proving algorithm created...

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...

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...

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...

called primality. A simple but slow method of checking the primality of a given number ⁠ n {\displaystyle n} ⁠, called trial division, tests whether...

more stringent primality test than equation (1). There are infinitely many strong Lucas pseudoprimes, and therefore, infinitely many Lucas pseudoprimes...

curve primality testing techniques, or elliptic curve primality proving (ECPP), are among the quickest and most widely used methods in primality proving...

This theorem forms the basis for the Lucas primality test, an important primality test, and Pratt's primality certificate. If a and p are coprime numbers...

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...

In computational number theory, the Adleman–Pomerance–Rumely primality test is an algorithm for determining whether a number is prime. Unlike other, more...

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...

Primality tests: determining whether a given number is prime AKS primality test Baillie–PSW primality test Fermat primality test Lucas primality test...

project relied primarily on the Lucas–Lehmer primality test as it is an algorithm that is both specialized for testing Mersenne primes and particularly...

distribution of numbers of prime factors of Mersenne numbers Lucas–Lehmer primality test Lucas primality test Catalan's Mersenne conjecture Mersenne's laws Bateman...

Provable prime Baillie–PSW primality test Euler–Jacobi pseudoprime Lucas pseudoprime Miller–Rabin primality test Perrin primality test Carmichael number The...

urinary stones LLT GM High Feature engine, a type of engine Lucas–Lehmer primality test for Mersenne numbers Cholesky decomposition, an algorithm to...

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...

number theory, Proth's theorem is a theorem which forms the basis of a primality test for Proth numbers (sometimes called Proth Numbers of the First Kind)...

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...

the Miller–Rabin primality test), 1.5 times that of a Lucas pseudoprimality test, and slightly more than a Baillie–PSW primality test. Note that the quadratic...

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...