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Number-theoretic algorithm
mathematics, the Pocklington–Lehmer primality test is a primality test devised by Henry Cabourn Pocklington and Derrick Henry Lehmer. The test uses a partial
Pocklington_primality_test
Methods to test or prove primality
curve primality testing techniques, or elliptic curve primality proving (ECPP), are among the quickest and most widely used methods in primality proving
Elliptic_curve_primality
Proof that a number is prime
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
Primality_certificate
Probabilistic primality test
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
Solovay–Strassen primality test
Solovay–Strassen_primality_test
Algorithm for checking if a number is prime
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
Lucas_primality_test
Algorithm for determining whether a number is prime
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
Primality_test
Primality test for certain numbers
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
Lucas–Lehmer–Riesel_test
Prime integer calculated using a primality-proving algorithm
calculated to be prime using a primality-proving algorithm. Boot-strapping techniques using Pocklington primality test are the most common ways to generate
Provable_prime
English physicist and mathematician
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
Henry_Cabourn_Pocklington
Algorithms to generate prime numbers
based on variants of Pocklington primality test, especially Maurer's algorithm. Both the provable and probable primality tests rely on modular exponentiation
Generation_of_primes
Prime pair of the form (p, 2p+1)
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
Safe and Sophie Germain primes
Safe_and_Sophie_Germain_primes
Decomposition of a number into a product
digits of n) with the AKS primality test. In addition, there are several probabilistic algorithms that can test primality very quickly in practice if
Integer_factorization
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
Quadratic_Frobenius_test
Primality test for numbers of a certain form
theorem is a theorem which forms the basis of a primality test for Proth numbers known as Proth's test. Proth numbers, sometimes called Proth Numbers of
Proth's_theorem
Algorithm that employs a degree of randomness as part of its logic or procedure
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
Randomized_algorithm
American mathematician (1905–1991)
integers, such as factoring, Euclid's algorithm, long division, and proof of primality, he also formulated Lehmer's conjecture and participated in the Cunningham
D._H._Lehmer
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