MathCastle
Number TheoryHardThe Chinese Remainder Theorem

The Chinese Remainder Theorem · Hard problem

Find the smallest nonnegative integer xx satisfying x≡2(mod3),x≡2(mod5),x≡3(mod7)x \equiv 2 \pmod{3},\quad x \equiv 2 \pmod{5},\quad x \equiv 3 \pmod{7}.