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Number Theoretic Functions
Mathematica
contains the world's largest collection of number theoretic functions, many based on specially developed algorithms.
Primes and their Distribution »
Prime
—
the
n
th
prime
PrimeQ
—
test for primality
NextPrime
▪
PrimePi
▪
LogIntegral
▪
Zeta
▪
ZetaZero
Integer Factorization
FactorInteger
—
find the factors of an integer
SquareFreeQ
▪
PrimePowerQ
Divisibility
GCD
▪
LCM
▪
Divisible
▪
CoprimeQ
▪
ExtendedGCD
EulerPhi
▪
MoebiusMu
▪
JacobiSymbol
▪
KroneckerSymbol
Congruences
Mod
▪
PowerMod
▪
MultiplicativeOrder
▪
PrimitiveRoot
▪
ChineseRemainder
▪
PowerModList
▪
CarmichaelLambda
Divisors
Divisors
▪
DivisorSigma
▪
DedekindEta
▪
EllipticTheta
Partitions
IntegerPartitions
▪
PartitionsP
▪
StirlingS1
▪
StirlingS2
▪
BellB
▪
FrobeniusNumber
Representations as Sums of Powers
SquaresR
▪
PowersRepresentations
▪
EllipticTheta
Digit Representations »
IntegerDigits
▪
FromDigits
▪
DigitCount
▪
IntegerExponent
Analytic Number Theory
Zeta
▪
RiemannSiegelZ
▪
RiemannSiegelTheta
▪
LerchPhi
RamanujanTau
▪
RamanujanTauL
▪
RamanujanTauTheta
▪
RamanujanTauZ
Algebraic Number Theory »
AlgebraicNumberNorm
▪
NumberFieldDiscriminant
▪
...
TUTORIALS
Integer and Number Theoretic Functions
Combinatorial Functions
Special Functions
MORE ABOUT
Number Theory
Integer Functions
Cryptographic Number Theory
Representation of Numbers
Diophantine Equations
Zeta Functions & Polylogarithms
New in 6.0: Number Theory & Integer Functions
RELATED LINKS
Demonstrations related to Number Theoretic Functions
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