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Integer factorization and Primality test

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Integer factorization and Primality test

Integer factorization vs. Primality test

In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers. A primality test is an algorithm for determining whether an input number is prime.

Similarities between Integer factorization and Primality test

Integer factorization and Primality test have 24 things in common (in Unionpedia): Adleman–Pomerance–Rumely primality test, AKS primality test, Algorithm, Big O notation, Carl Pomerance, Co-NP, Composite number, Computational complexity theory, Cryptography, Factorization, Generalized Riemann hypothesis, Greatest common divisor, Manindra Agrawal, Mathematics, NP (complexity), Prime number, Quantum computing, Randomized algorithm, Richard Crandall, RSA (cryptosystem), Shor's algorithm, The Art of Computer Programming, Time complexity, Trial division.

Adleman–Pomerance–Rumely primality test

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

Adleman–Pomerance–Rumely primality test and Integer factorization · Adleman–Pomerance–Rumely primality test and Primality test · See more »

AKS primality test

The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality-proving algorithm created and published by Manindra Agrawal, Neeraj Kayal, and Nitin Saxena, computer scientists at the Indian Institute of Technology Kanpur, on August 6, 2002, in a paper titled "PRIMES is in P".

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Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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Big O notation

Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.

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Carl Pomerance

Carl Bernard Pomerance (born 1944 in Joplin, Missouri) is an American number theorist.

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Co-NP

In computational complexity theory, co-NP is a complexity class.

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Composite number

A composite number is a positive integer that can be formed by multiplying together two smaller positive integers.

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Computational complexity theory

Computational complexity theory is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other.

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Cryptography

Cryptography or cryptology (from κρυπτός|translit.

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Factorization

In mathematics, factorization (also factorisation in some forms of British English) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

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Generalized Riemann hypothesis

The Riemann hypothesis is one of the most important conjectures in mathematics.

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Greatest common divisor

In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

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Manindra Agrawal

Manindra Agrawal (born 20 May 1966) is a professor at the Department of Computer Science and Engineering and the Deputy Director at the Indian Institute of Technology, Kanpur.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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NP (complexity)

In computational complexity theory, NP (for nondeterministic polynomial time) is a complexity class used to describe certain types of decision problems.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Quantum computing

Quantum computing is computing using quantum-mechanical phenomena, such as superposition and entanglement.

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Randomized algorithm

A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic.

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Richard Crandall

Richard E. Crandall (December 29, 1947 – December 20, 2012) was an American physicist and computer scientist who made contributions to computational number theory.

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RSA (cryptosystem)

RSA (Rivest–Shamir–Adleman) is one of the first public-key cryptosystems and is widely used for secure data transmission.

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Shor's algorithm

Shor's algorithm, named after mathematician Peter Shor, is a quantum algorithm (an algorithm that runs on a quantum computer) for integer factorization formulated in 1994.

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The Art of Computer Programming

The Art of Computer Programming (sometimes known by its initials TAOCP) is a comprehensive monograph written by Donald Knuth that covers many kinds of programming algorithms and their analysis.

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Time complexity

In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an algorithm.

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Trial division

Trial division is the most laborious but easiest to understand of the integer factorization algorithms.

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The list above answers the following questions

Integer factorization and Primality test Comparison

Integer factorization has 86 relations, while Primality test has 85. As they have in common 24, the Jaccard index is 14.04% = 24 / (86 + 85).

References

This article shows the relationship between Integer factorization and Primality test. To access each article from which the information was extracted, please visit:

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