The Fermat primality test is a probabilistic test to determine whether a number is a probable prime. Fermat's little theorem states that if p is prime...

number is likely to be prime, similar to the Fermat primality test and the Solovay–Strassen primality test. It is of historical significance in the search...

corollary of Fermat's little theorem could be used to test for primality. This resulted in the Pocklington primality test. However, as this test requires...

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...

and 64 − 1 = 63 = 7 × 9 is a multiple of 7. Fermat's little theorem is the basis for the Fermat primality test and is one of the fundamental results of elementary...

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...

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...

{\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...

passes the Fermat primality test for the base a {\displaystyle a} . The false statement that all numbers that pass the Fermat primality test for base 2...

GIMPS adopted a Fermat primality test with basis a=3as an alternative option for primality testing, while keeping the Lucas–Lehmer test as a double-check...

be claimed and distributed by GIMPS. Prime95 tests numbers for primality using the Fermat primality test (referred to internally as PRP, or "probable...

threefold Fermat quotient Fermat's difference quotient Fermat's factorization method Fermat's Last Theorem Fermat's little theorem Fermat's method Fermat's method...

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

Fermat numbers' size, it is difficult to factorize or even to check primality. Pépin's test gives a necessary and sufficient condition for primality of...

test with a Fermat primality test, say, to base 2, one can obtain very powerful probabilistic tests for primality, such as the Baillie–PSW primality test...

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

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

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...

successive substitution Chinese remainder theorem Fermat's little theorem Proofs of Fermat's little theorem Fermat quotient Euler's totient function Noncototient...

Wonderlic Test Iq test Trust metric Ames test Chi-squared test Draize test Dixon's Q test F-test Fisher's exact test GRIM test Kolmogorov–Smirnov test Kuiper's...

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

that is, the result. In practice, Wilson's theorem is useless as a primality test because computing (n − 1)! modulo n for large n is computationally complex...

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 Riesel and...

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

strict converse of Fermat's Little Theorem does not hold. This fact precludes the use of that theorem as an absolute test of primality. The Carmichael numbers...

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...

Carlo primality tests (randomized algorithms that can return a false positive or false negative), this deterministic variant of the primality testing algorithm...

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...

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

Primality Testing for Beginners is an undergraduate-level mathematics book on primality tests, methods for testing whether a given number is a prime number...