Partition Number Calculator
Compute number theoretic functions, prime conjectures, modular arithmetic symbols, and Diophantine equations with Partition Number.
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Number Theory Inputs
Enter integer n or parameters.
Euler's Totient ฯ(n) Result
ฯ(36) = 12
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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
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Methodology
ฯ(n) = n ยท โ (1 - 1/p)
Uses exact prime factorization algorithms.
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Important Disclaimer
Calculations are intended for arithmetic cryptography and pure mathematics study.