The method solves the congruences one by one by maintaining an arithmetic progression of candidate solutions. It starts with the sequence of numbers satisfying the first congruence, tests them against the second to find a common solution, and then updates the step size to the least common multiple (LCM) of the first two moduli.
Conditions: The unknown x is an integer.; The system consists of the congruences x ≡ 3 (mod 4), x ≡ 5 (mod 6), and x ≡ 2 (mod 5).
The method solves the congruences one by one by maintaining an arithmetic progression of candidate solutions. It starts with the sequence of numbers satisfying the first congruence, tests them against the second to find a common solution, and then updates the step size to the least common multiple (LCM) of the first two moduli.
Conditions: The unknown x is an integer.; The system consists of the congruences x ≡ 3 (mod 4), x ≡ 5 (mod 6), and x ≡ 2 (mod 5).