12月9日 的 Prime Checker 應用程式分析

This application calculate values of given number which are described below: * Integer factorization * Euler's totient function * Primitive root (if exist) * x, y where x^2 + y^2 = p if p is 4n+1 * x, y where x^2 + 3y^2 = p if p is 3n+1 * x, y where x^2 + 2y^2 = p if p is 8n+1 or 8n+3 * x, y where x^2 - 2y^2 = p if p is 8n+1 or 8n+7 This application uses Fermat algorithm, Pollard's rho algorithm and Lenstra's ECM for factorization, Miller–Rabin algorithm for primality test