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15 sie 2023 · The Chinese remainder theorem calculator is here to find the solution to a set of remainder equations (also called congruences).
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- Modulo Calculator
Tool to compute congruences with the chinese remainder theorem. The Chinese Remainder Theorem helps to solve congruence equation systems in modular arithmetic.
This widget will solve linear congruences for you. The equation 3x==75 mod 100 (== means congruence), input 3x into Variable and Coeffecient, input 100 into modulus, and input 75 into the last box.
Linear Congruence. Given an integer m > 1, called a modulus, two integers a and b are said to be congruent modulo m if m is a divisor of their difference. The system of arithmetic for integers, where numbers "wrap around" the modulus, is called the modular arithmetic. Congruence modulo m is denoted like this:
Enter the equation/congruence, the variables and the value of the modulo. The value of the modulo is global and applies to all equations.
Chinese Remainder Theorem calculator - Find Chinese Remainder Theorem solution, step-by-step online.
What is this calculator for? This is a linear congruence solver made for solving equations of the form \(ax \equiv b \; ( \text{mod} \; m) \), where \( a \), \( b \) and \( m \) are integers, and \( m \) is positive.
