Wolfram Resource System

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Search the Wolfram Resource System

Paclet Resource: Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource: WolframExternalFunctions/GSLLink

GSLLink is a package that provides a link to the GNU Scientific Library (GSL) from the Wolfram Language

Paclet Resource: StianRamsnes/MaXrd

Symmetry data and utilities related to crystallography and X-ray scattering

Paclet Resource: PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource: PeterBurbery/BooleanLogic

Work with logical functions and boolean values

Paclet Resource: Obando/CAGenetics

A set of functions to manipulate the unified model of Cellular Automata

Paclet Resource: KlausSutner/Automata

Automata theory package

Function Resource: LargestPrimeFactor

Find the largest prime factor of a given integer

Data Resource: Cunningham Number Factorizations

Numbers of the form b^n-1 and b^n+1 are factored for small prime bases b={2,3,5,7}

Function Resource: FormatFactorization

Express an integer factorization as it would be seen in a factorization table

Function Resource: InactiveFactorInteger

Compute the prime factorization of an integer and return it in an inactivated form

Function Resource: FactorSemiprime

Fast integer factorization of a certain class of semiprimes

Function Resource: FactorGraph

Get a graph representation for the factorization of an integer

Function Resource: FactorIntegerHart

Factor an integer using Hart's one line factoring algorithm

Function Resource: NonNegativeMatrixFactorization

Decompose a matrix into two non-negative matrix factors

Function Resource: ArithmeticD

Compute the arithmetic derivative of a rational number

Function Resource: TwinPrimes

Get the pairs of primes that differ by 2

Function Resource: CousinPrimes

Get the pairs of primes that differ by 4

Function Resource: SexyPrimes

Get the pairs of primes that differ by 6

Function Resource: RamanujanPrimes

Compute Ramanujan primes

Function Resource: TwinPrime

Find the nth twin prime

Function Resource: MersennePrime

Find the nth Mersenne prime

Function Resource: ClosestPrime

Find the prime integer closest to a number

Function Resource: HeegnerPrime

Convert integer tuples into Heegner field primes when applicable

Example Resource: Discovering Prime Numbers

Function Resource: FermatPrime

Find the nth Fermat number that is also a prime number

Function Resource: CircularPrimeQ

Test whether an integer is a circular prime

Function Resource: LargestPrimeGap

Give the greatest gap between the primes up to the argument

Function Resource: RandomSafePrime

Compute one or more safe primes in a requested range

Function Resource: SafePrimeQ

Determine whether a number is a safe prime

Function Resource: StrongPrimeQ

Determine whether a number is a strong prime

Function Resource: FactorIntegerFermat

Factor an integer using Fermat's factorization algorithm

Function Resource: ProvablePrimeQ

Certify a number as provably prime

Paclet Resource: ZigangPan/NonlinearCholeskyFactorizationMIMO

Nonlinear Cholesky Factorization for MIMO nonlinear systems

Function Resource: SophieGermainPrimeQ

Determine whether a number is a Sophie Germain prime

Function Resource: PrimeQCertificateCheck

Test if a certificate can be used for ascertaining the primality or compositeness of a number

Function Resource: InactiveSumOfPowers

Express an integer as a sum of one or more integer powers

Paclet Resource: ZigangPan/NonlinearCholeskyFactorization

Design locally optimal and globally inverse optimal controllers for nonlinear system under perfect state measurement

Function Resource: Cos2PiOverFermatPrime

Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss

Function Resource: TakagiDecomposition

Compute the Takagi decomposition of a complex-symmetric matrix

Function Resource: WastefulNumberQ

Test whether an integer is a wasteful number

Function Resource: UpperTriangularDecomposition

Find an upper triangular form and conversion matrix for a given matrix

Function Resource: ChebyshevTheta

Calculate the value of the first Chebyshev function θ(x)

Function Resource: ChebyshevPsi

Calculate the value of the second Chebyshev function ψ(x)

Function Resource: Composite

Get the nth composite number

Function Resource: LDLDecomposition

Find the LDL decomposition of a Hermitian matrix

Function Resource: Primorial

Evaluate the primorial

Function Resource: EisensteinFactorInteger

Factor an integer into powers of Eisenstein primes

Function Resource: CoprimeIntegerList

Return a list of positive integers coprime to a given integer

Function Resource: TriangularSpiralPoints

Get the coordinates of the points on a triangular spiral

Function Resource: IntegerRadical

Return the radical of an integer, the product of its distinct prime factors

Function Resource: SmoothIntegerQ

Test whether the prime factors of an integer are less than a given threshold

Function Resource: AasenDecomposition

Compute the Aasen decomposition of a Hermitian matrix

Function Resource: HexagonalSpiralPoints

Get the coordinates of the points on a hexagonal spiral

Function Resource: GenerateSmoothNumbers

Generate smooth numbers up to some maximum

Function Resource: SquareSpiralPoints

Get the coordinates of the points on a square spiral with sides parallel to the axes

Function Resource: UlamMatrix

Generate the Ulam matrix

Function Resource: RandomComposite

Find a random composite number or set of random composite numbers

Function Resource: PolynomialIdealDimension

Compute the dimension of a polynomial ideal

Function Resource: Goldbach

Get all representations of an even integer as the sum of two primes

Function Resource: LuckyNumbers

Get a list of lucky numbers

Function Resource: Fractran

Interpret the FRACTRAN esoteric programming language

Paclet Resource: AntonAntonov/DimensionReducers

Dimension reduction algorithms

Function Resource: SteenrodReduce

Evaluate products and sums of monomials in the Steenrod algebra for the prime 2 written in the Serre–Cartan basis

Paclet Resource: AntonAntonov/MonadicLatentSemanticAnalysis

Software monad for Latent semantic analysis

Neural Net Resource: Inception V3 Trained on ImageNet Competition Data

Identify the main object in an image

Paclet Resource: AntonAntonov/NLPTemplateEngine

Code generation by filling in templates using NLP techniques

Function Resource: FullRankDecomposition

Compute a full rank decomposition of a matrix

Data Resource: ABC Conjecture

ABC triples by quality

Function Resource: PerfectPowerQ

Determine whether a given integer is a perfect power

Data Resource: Primitive Polynomials

Primitive polynomials for Galois field generation up to GF(2^1200), GF(3^660), GF(5^430), and GF(7^358)

Function Resource: EisensteinIntegers

Support arithmetic operations for pairs of Eisenstein integers

Function Resource: ExponentLift

Compute the p-adic valuation for certain integers using the lifting-the-exponent lemma

Function Resource: ScorerGiZero

Find zeros of the ScorerGi function