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

largely superseded by the Baillie–PSW primality test and the Miller–Rabin primality test, but has great historical importance in showing the practical...

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...

Miller–Rabin prove that a number is composite. Therefore, the latter might more accurately be called compositeness tests instead of primality tests....

a < p − 1. The Miller–Rabin test uses this property in the following way: given an odd integer p for which primality has to be tested, write p − 1 = 2sd...

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

(with three others) for the Miller–Rabin primality test. He was made an ACM Fellow in 2002 and won the Knuth Prize in 2013. Miller received his Ph.D. from...

Technology in the USA as a visiting professor. While there, Rabin invented the Miller–Rabin primality test, a randomized algorithm that can determine very quickly...

algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always produces the...

comparison, the most efficient randomized primality test for general integers, the Miller–Rabin primality test, requires O(k n2 log n log log n) bit operations...

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...

n is prime and can be checked.: §2,6  k applications of the Miller–Rabin primality test declare a composite n to be probably prime with a probability...

preparatory program Miller–Rabin primality test Rąbiń, a village in Poland This page lists people with the surname Rabin. If an internal link intending...

pseudoprime is a composite number that passes the Miller–Rabin primality test. All prime numbers pass this test, but a small fraction of composites also pass...

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

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

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

Battery II Leiter International Performance Scale Miller Analogies Test Otis–Lennon School Ability Test Raven's Progressive Matrices Stanford–Binet Intelligence...

for the necessary run-time of the deterministic version of the Miller–Rabin primality test. Bach also did some of the first work on pinning down the actual...

are simple randomized in-place algorithms for primality testing such as the Miller–Rabin primality test, and there are also simple in-place randomized...

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...

sieve) and can be combined with the Fermat primality test to give the stronger Miller–Rabin primality test. The identity also holds in inner product spaces...

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...

example, the popular Miller–Rabin primality test can be formulated as a P/poly algorithm: the "advice" is a list of candidate values to test. It is possible...

are: Miller–Rabin primality test: a probabilistic algorithm for testing whether a given number n is prime or composite. If n is composite, the test will...

algorithms include the Solovay–Strassen primality test, the Baillie–PSW primality test, the Miller–Rabin primality test, and certain fast variants of the Schreier–Sims...

in the same interval is 1,091,987,404. Probable primality is a basis for efficient primality testing algorithms, which find application in cryptography...

which primality has not been certified (i.e. rigorously proven), but they have undergone probable prime tests such as the Miller–Rabin primality test, which...

probabilistic Solovay–Strassen primality test and refinements such as the Baillie–PSW primality test and the Miller–Rabin primality test. As an indirect use, it...

hdl:21.11116/0000-0005-717D-0. Tao, Terence (2010). "1.11 The AKS primality test". An epsilon of room, II: Pages from year three of a mathematical blog...