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Number Theory

Euler's Totient Function Calculator

Compute Euler's totient φ(n), the count of integers from 1 to n that share no common factor with n. Essential for RSA key generation, modular arithmetic, and exploring multiplicative number theory.

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Number Theory

Linear Diophantine Equation Solver

Finds all integer solutions to a linear Diophantine equation of the form ax + by = c. Use it when you need exact integer answers in problems involving divisibility, coin combinations, or scheduling.

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Key differences

Euler's Totient Function CalculatorLinear Diophantine Equation Solver
CategoryNumber TheoryNumber Theory
Inputs required14
Resultφ(n) ResultSolution Code
What it doesCompute Euler's totient φ(n), the count of integers from 1 to n that share no common factor with n. Essential for RSA key generation, modular arithmetic, and exploring multiplicative number theory.Finds all integer solutions to a linear Diophantine equation of the form ax + by = c. Use it when you need exact integer answers in problems involving divisibility, coin combinations, or scheduling.