Chinese remainder theorem
Chinese remainder theorem Let m1, m2,…, mr
be positive integers that are relatively prime to one another, and let their product be m: m = m1m2…mr
Let n, u1, u2,…, ur be integers; then there is exactly one integer, u, that satisfies n ← u < (m + n)
and u ≡ uj (modulo mj) for 1 ← j ← r
be positive integers that are relatively prime to one another, and let their product be m: m = m1m2…mr
Let n, u1, u2,…, ur be integers; then there is exactly one integer, u, that satisfies n ← u < (m + n)
and u ≡ uj (modulo mj) for 1 ← j ← r
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Chinese remainder theorem