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    RSA Key Generator Select Key Size (bits): 512 bits1024 bits2048 bits Generate RSA Keys About the RSA Key Generator The RSA Key Generator is a cryptographic tool designed to create secure public and private key pairs based on the RSA cryptosystem. This tool follows the principles of the RSA algorithm, a cornerstone of […]

    Wilson’s Theorem Checker Enter a Positive Integer: Check Primality About the Wilson’s Theorem Checker The Wilson’s Theorem Checker is a mathematical tool designed to verify whether a given positive integer is a prime number using Wilson’s Theorem. This theorem, a fundamental result in number theory, states that a number n is prime if

    Euler’s Totient Function Calculator Positive Integer n: Calculate φ(n) About the Euler’s Totient Function Calculator The Euler’s Totient Function Calculator is a scientifically accurate tool designed to compute Euler’s Totient Function, φ(n), which counts the number of integers up to n that are coprime with n. Based on peer-reviewed number theory principles, it

    Modular Inverse Calculator Number a (ax ≡ 1 (mod m)): Modulus m (must be positive): Calculate Modular Inverse About the Modular Inverse Calculator The Modular Inverse Calculator is a scientifically accurate tool designed to compute the modular multiplicative inverse of a number a modulo m, satisfying ax ≡ 1 (mod m). Using the

    Euler’s Theorem Calculator Base a (a^φ(n) ≡ 1 (mod n)): Modulus n (must be positive): Calculate About the Euler’s Theorem Calculator The Euler’s Theorem Calculator is a scientifically accurate tool designed to compute modular exponentiation using Euler’s Theorem. It applies the theorem a^φ(n) ≡ 1 (mod n) for integers a and n where

    Fermat’s Little Theorem Calculator Base a (a^(p-1) ≡ 1 (mod p)): Prime Modulus p: Calculate About the Fermat’s Little Theorem Calculator The Fermat’s Little Theorem Calculator is a scientifically accurate tool designed to compute modular exponentiation using Fermat’s Little Theorem. It applies the theorem a^(p-1) ≡ 1 (mod p) for a prime p

    Chinese Remainder Theorem Calculator Number of Congruences (2-4): Generate Congruence Inputs Solve System About the Chinese Remainder Theorem Calculator The Chinese Remainder Theorem Calculator is a scientifically accurate tool designed to solve systems of linear congruences using the Chinese Remainder Theorem. It computes a unique solution modulo the product of pairwise coprime moduli,

    Linear Congruence Solver Coefficient a (ax ≡ b (mod m)): Constant b (ax ≡ b (mod m)): Modulus m (ax ≡ b (mod m)): Solve Linear Congruence About the Linear Congruence Solver The Linear Congruence Solver is a scientifically accurate tool designed to solve linear congruence equations of the form ax ≡ b

    Stationary Distribution Calculator Matrix Size (2-4 states): Generate Matrix Inputs Calculate Stationary Distribution About the Stationary Distribution Calculator The Stationary Distribution Calculator is a scientifically accurate tool designed to compute the stationary distribution of a Stationary Distribution for a Markov chain. It solves the system πP = π with Σπ_i = 1, using

    Transition Matrix Calculator Matrix Size (2-4 states): Generate Matrix Inputs Calculate Steady-State Probabilities About the Transition Matrix Calculator The Transition Matrix Calculator is a scientifically accurate tool designed to compute the steady-state probabilities of a Markov chain using a Transition Matrix. It solves the system πP = π with Σπ_i = 1, based