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Primality test

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 integer factorization, primality tests do not generally give prime factors, only stating whether the input number is prime or not. Factorization is thought to be a computationally difficult problem…

Probabilistic tests, Fast deterministic tests & Complexity

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Simple methods

Heuristic tests

Probabilistic tests

Fast deterministic tests

Complexity

Number-theoretic methods

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Primality test

Nodes82
Edges81
Triples99
Avg. degree1.98
Density0.02439
Components1

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Primality test

Top relations

related to Fast deterministic tests · 22
Primality test → Because, Fermat's, However, In, Lenstra, Manindra Agrawal, Miller, Miller's, Near, Neeraj Kayal, Nitin Saxena, Pocklington, Pomerance, Rabin, Riemann, Running, Similarly, Sophie Germain, Subsequently, The
related to External links · 16
Primality test → Agrawal's, AKS, Bernstein, Congress Web Archives, Deprecated, Factored, Implementation, Internet-connected, Library, Lucas Primality Test, MapleDistinguishing, MathPages, PRIMABOINCA, Solovay-Strassen, The, The Prime Pages
has method · 10
Primality test → All, Certain, For, If, Lucas, Otherwise, Proth's, The, The Lucas, These
related to Frobenius primality test · 9
Primality test → Frobenius, Lucas, Miller, One, Rabin, Solovay, Strassen, The Frobenius, The Miller
related to Miller–Rabin and Solovay–Strassen primality test · 9
Primality test → Given, If, Let, Miller, Rabin, Solovay, Strassen, The Miller, These
related to Baillie–PSW primality test · 8
Primality test → Fermat, It, Lucas, Miller, PSW, Rabin, That, The Baillie
related to Other tests · 7
Primality test → If, Leonard Adleman, Ming-Deh Huang, Pocklington, Shor's, The, Unlike
related to Fermat primality test · 6
Primality test → But, Fermat, If, In, It, The
related to Heuristic tests · 4
Primality test → Fibonacci, John Selfridge, The Fermat, These
related to Probabilistic tests · 4
Primality test → Multiple, Probabilistic, The, These

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Important terminology

primality prime test displaystyle number composite tests primes numbers algorithm miller rabin sqrt time one compositeness leq form solovay strassen

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Primality testis aalgorithm for determining whether an input number is prime0.90text
Primality testis aFermat primality test0.90text
Primality testis aprobabilistic primality test that combines a Fermat or Miller0.90text
NC or Linstance ofand it is not known whether it lies in classes lying inside P0.80text
Primality testhas methodThe0.60section
Primality testhas methodIf0.60section
Primality testhas methodOtherwise0.60section
Primality testhas methodAll0.60section
Primality testhas methodFor0.60section
Primality testhas methodCertain0.60section
Primality testhas methodLucas0.60section
Primality testhas methodProth's0.60section

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