Diophantine Equation Solver Calculator

Compute number theoretic functions, prime conjectures, modular arithmetic symbols, and Diophantine equations with Diophantine Equation Solver.

๐Ÿ”ข

Number Theory Inputs

Enter integer n or parameters.

Euler's Totient ฯ†(n) Result

ฯ†(36) = 12
๐Ÿ’ก

Number Theory Tip

Euler's totient function counts the positive integers up to n that are relatively prime to n (gcd(k, n) = 1).

Calculation Methodology & Details

๐Ÿ“

Methodology

ฯ†(n) = n ยท โˆ (1 - 1/p)

Uses exact prime factorization algorithms.

๐Ÿ“ข

Important Disclaimer

Calculations are intended for arithmetic cryptography and pure mathematics study.