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Integer Functions—Wolfram Language Documentation

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• Functions
  • BellB
  • BernoulliB
  • Binomial
  • BitAnd
  • BitLength
  • BitOr
  • BitSet
  • BitShiftLeft
  • BitXor
  • CatalanNumber
  • CompositeQ
  • CoprimeQ
  • DigitCount
  • Divisible
  • Divisors
  • EulerE
  • EvenQ
  • Factorial
  • FactorInteger
  • FareySequence
  • Fibonacci
  • FindSequenceFunction
  • FrobeniusNumber
  • FrobeniusSolve
  • FromDigits
  • GCD
  • HarmonicNumber
  • IntegerDigits
  • IntegerExponent
  • IntegerLength
  • IntegerPartitions
  • IntegerReverse
  • LCM
  • LucasL
  • MatrixExp
  • Mod
  • ModularInverse
  • Multinomial
  • NumberDecompose
  • NumberDigit
  • OddQ
  • PartitionsP
  • PolygonalNumber
  • PowerMod
  • PrimeQ
  • Quotient
  • QuotientRemainder
  • RSolve
  • RudinShapiro
  • StirlingS1
  • Sum
  • ThueMorse
• Related Guides
  • Number Theoretic Functions
  • Number Theory Operations
  • Integer Sequences
  • Representation of Numbers
  • Continued Fractions
  • Numerical Functions
  • q Functions
  • Discrete Calculus
• Tech Notes
  • Integer and Number Theoretic Functions
  • Some Mathematical Functions
  • Combinatorial Functions

The Wolfram Language contains hundreds of original algorithms for computing integer functions involving integers of any size.

Mod  ▪  PowerMod  ▪  Quotient  ▪  QuotientRemainder  ▪  GCD  ▪  LCM  ▪  Divisible  ▪  CoprimeQ  ▪  EvenQ  ▪  OddQ  ▪  PrimeQ  ▪  CompositeQ  ▪  ModularInverse

Factorial (!)  ▪  Binomial  ▪  Multinomial  ▪  CatalanNumber  ▪  StirlingS1  ▪  PartitionsP  ▪  BellB  ▪  FrobeniusNumber  ▪  PolygonalNumber  ▪  ...

Fibonacci  ▪  LucasL  ▪  HarmonicNumber  ▪  BernoulliB  ▪  EulerE  ▪  MatrixExp  ▪  ...

FactorInteger  ▪  Divisors  ▪  IntegerPartitions  ▪  IntegerDigits  ▪  FrobeniusSolve  ▪  NumberDecompose  ▪  FareySequence

IntegerDigits  ▪  FromDigits  ▪  IntegerLength  ▪  NumberDigit  ▪  DigitCount  ▪  IntegerExponent  ▪  IntegerReverse  ▪  ...

BitAnd  ▪  BitOr  ▪  BitXor  ▪  BitLength  ▪  BitShiftLeft  ▪  BitSet  ▪  ...

ThueMorse  ▪  RudinShapiro

RSolve — solve integer recurrences

Sum — find sums of integer functions

FindSequenceFunction — find functional forms from sequences

▪
• Integer and Number Theoretic Functions
▪
• Some Mathematical Functions
▪
• Combinatorial Functions

▪
• Number Theoretic Functions
▪
• Number Theory Operations
▪
• Integer Sequences
▪
• Representation of Numbers
▪
• Continued Fractions
▪
• Numerical Functions
▪
• q Functions
▪
• Discrete Calculus

• Demonstrations related to Integer Functions (Wolfram Demonstrations Project)
• Wolfram Core Areas: Mathematical Functions

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