Faster access than browser!Similarities between Integer factorization and Prime number
Integer factorization and Prime number have 27 things in common (in Unionpedia): AKS primality test, Algebraic number theory, Algorithm, Big O notation, Bit, Composite number, Factorization, Fundamental theorem of arithmetic, General number field sieve, Lenstra elliptic-curve factorization, Number theory, Pollard's rho algorithm, Primality test, Public-key cryptography, Quadratic sieve, Quantum computing, Randomized algorithm, RSA (cryptosystem), RSA numbers, Semiprime, Shor's algorithm, Smooth number, Special number field sieve, Sylow theorems, The Art of Computer Programming, Time complexity, Trial division.
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".
AKS primality test and Integer factorization · AKS primality test and Prime number ·
Algebraic number theory
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.
Algebraic number theory and Integer factorization · Algebraic number theory and Prime number ·
Algorithm
In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.
Algorithm and Integer factorization · Algorithm and Prime number ·
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.
Big O notation and Integer factorization · Big O notation and Prime number ·
Bit
The bit (a portmanteau of binary digit) is a basic unit of information used in computing and digital communications.
Bit and Integer factorization · Bit and Prime number ·
Composite number
A composite number is a positive integer that can be formed by multiplying together two smaller positive integers.
Composite number and Integer factorization · Composite number and Prime number ·
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.
Factorization and Integer factorization · Factorization and Prime number ·
Fundamental theorem of arithmetic
In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is a prime number itself or can be represented as the product of prime numbers and that, moreover, this representation is unique, up to (except for) the order of the factors.
Fundamental theorem of arithmetic and Integer factorization · Fundamental theorem of arithmetic and Prime number ·
General number field sieve
In number theory, the general number field sieve (GNFS) is the most efficient classical algorithm known for factoring integers larger than.
General number field sieve and Integer factorization · General number field sieve and Prime number ·
Lenstra elliptic-curve factorization
The Lenstra elliptic-curve factorization or the elliptic-curve factorization method (ECM) is a fast, sub-exponential running time, algorithm for integer factorization, which employs elliptic curves.
Integer factorization and Lenstra elliptic-curve factorization · Lenstra elliptic-curve factorization and Prime number ·
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
Integer factorization and Number theory · Number theory and Prime number ·
Pollard's rho algorithm
Pollard's rho algorithm is an algorithm for integer factorization.
Integer factorization and Pollard's rho algorithm · Pollard's rho algorithm and Prime number ·
Primality test
A primality test is an algorithm for determining whether an input number is prime.
Integer factorization and Primality test · Primality test and Prime number ·
Public-key cryptography
Public-key cryptography, or asymmetric cryptography, is any cryptographic system that uses pairs of keys: public keys which may be disseminated widely, and private keys which are known only to the owner.
Integer factorization and Public-key cryptography · Prime number and Public-key cryptography ·
Quadratic sieve
The quadratic sieve algorithm (QS) is an integer factorization algorithm and, in practice, the second fastest method known (after the general number field sieve).
Integer factorization and Quadratic sieve · Prime number and Quadratic sieve ·
Quantum computing
Quantum computing is computing using quantum-mechanical phenomena, such as superposition and entanglement.
Integer factorization and Quantum computing · Prime number and Quantum computing ·
Randomized algorithm
A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic.
Integer factorization and Randomized algorithm · Prime number and Randomized algorithm ·
RSA (cryptosystem)
RSA (Rivest–Shamir–Adleman) is one of the first public-key cryptosystems and is widely used for secure data transmission.
Integer factorization and RSA (cryptosystem) · Prime number and RSA (cryptosystem) ·
RSA numbers
In mathematics, the RSA numbers are a set of large semiprimes (numbers with exactly two prime factors) that are part of the RSA Factoring Challenge.
Integer factorization and RSA numbers · Prime number and RSA numbers ·
Semiprime
In mathematics, a semiprime is a natural number that is the product of two prime numbers.
Integer factorization and Semiprime · Prime number and Semiprime ·
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.
Integer factorization and Shor's algorithm · Prime number and Shor's algorithm ·
Smooth number
In number theory, a smooth (or friable) number is an integer which factors completely into small prime numbers.
Integer factorization and Smooth number · Prime number and Smooth number ·
Special number field sieve
In number theory, a branch of mathematics, the special number field sieve (SNFS) is a special-purpose integer factorization algorithm.
Integer factorization and Special number field sieve · Prime number and Special number field sieve ·
Sylow theorems
In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Ludwig Sylow (1872) that give detailed information about the number of subgroups of fixed order that a given finite group contains.
Integer factorization and Sylow theorems · Prime number and Sylow theorems ·
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.
Integer factorization and The Art of Computer Programming · Prime number and The Art of Computer Programming ·
Time complexity
In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an algorithm.
Integer factorization and Time complexity · Prime number and Time complexity ·
Trial division
Trial division is the most laborious but easiest to understand of the integer factorization algorithms.
Integer factorization and Trial division · Prime number and Trial division ·
The list above answers the following questions
- What Integer factorization and Prime number have in common
- What are the similarities between Integer factorization and Prime number
Integer factorization and Prime number Comparison
Integer factorization has 86 relations, while Prime number has 340. As they have in common 27, the Jaccard index is 6.34% = 27 / (86 + 340).
References
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