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BASIC ARITHMETIC

Multiplication
Division
Modulo
Exponentiation
Logarithms

PRIME NUMBERS

Primality
Prime Factors
$\pi$(N)
The nth Prime

NUMBER THEORY

Greatest Common Divisor(GCD)
Extended Euclidean Algorithm
Lowest Common Multiple(LCM)
Euler's Criterion / Legendre Symbol
Primitive Roots
Linear Diophantine Equation
Pell's Equation

ARITHMETIC FUNCTIONS

Euler Totient Function ($\phi$(n))
Jordan Totient Function ($J_k$(n))
Sum of Divisors Function ($\sigma_k$(n))
Prime Omega Functions ($\omega$(n) & $\Omega$(n) )
Mobius Function ($\mu$(n))
Dedekind Psi Function ($\psi$(n))
p-adic Valuation ($v_p$(n))
Carmichael's Lambda Function

POLYNOMIALS

Polynomial Multiplication

BINARY QUADRATIC FORMS

Common Properties
Reduction
Equivalent Classes & Class Number

INTEGER PARTITIONS

List of Partitions
Conjugate Partition

FUN

Numbers to Words Converter
Kaprekar's Constant

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