mathematics, the Pocklington–Lehmer primality test is a primality test devised by Henry Cabourn Pocklington and Derrick Henry Lehmer. The test uses a partial...

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...

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...

algorithm lucas_primality_test is input: n > 2, an odd integer to be tested for primality. k, a parameter that determines the accuracy of the test. output: prime...

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

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

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...

Brillhart–Lehmer–Selfridge 1975 (see Pocklington primality test) are used. The algorithm is very similar to the Lucas–Lehmer test, but with a variable starting...

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

variants of Pocklington primality test, while probable primes can be generated with probabilistic primality tests such as the Baillie–PSW primality test or the...

calculated to be prime using a primality-proving algorithm. Boot-strapping techniques using Pocklington primality test are the most common ways to generate...

to number theory with the discovery of Pocklington's primality test in 1914 and the invention of Pocklington's algorithm. He also derived the first equation...

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

In 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...

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...

There is no special primality test for safe primes the way there is for Fermat primes and Mersenne primes. However, Pocklington's criterion can be used...

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)...

digits of n) with the AKS primality test. In addition, there are several probabilistic algorithms that can test primality very quickly in practice if...

test (QFT) is a probabilistic primality test to determine whether a number is a probable prime. It is named after Ferdinand Georg Frobenius. The test...

is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime. Once all the multiples...

v t e Number-theoretic algorithms Primality tests AKS APR Baillie–PSW Elliptic curve Pocklington Fermat Lucas Lucas–Lehmer Lucas–Lehmer–Riesel Proth's...

v t e Number-theoretic algorithms Primality tests AKS APR Baillie–PSW Elliptic curve Pocklington Fermat Lucas Lucas–Lehmer Lucas–Lehmer–Riesel Proth's...

reduce computation where those computations would never pass the modulo tests anyway (i.e. would produce even numbers, or multiples of 3 or 5): limit...

randomized primality test (i.e., determining the primality of a number). Soon afterwards Michael O. Rabin demonstrated that the 1976 Miller's primality test could...

P(6542) = 65521 for unsigned sixteen-bit integers. That would suffice to test primality for numbers up to 655372 = 4,295,098,369. Preparing such a table (usually...

with the Newton method and checking each integer result for primality (AKS primality test). Ekerå, Martin (June 2021). "On completely factoring any integer...

v t e Number-theoretic algorithms Primality tests AKS APR Baillie–PSW Elliptic curve Pocklington Fermat Lucas Lucas–Lehmer Lucas–Lehmer–Riesel Proth's...

v t e Number-theoretic algorithms Primality tests AKS APR Baillie–PSW Elliptic curve Pocklington Fermat Lucas Lucas–Lehmer Lucas–Lehmer–Riesel Proth's...