MathCastle
Number TheoryHardThe Chinese Remainder Theorem

The Chinese Remainder Theorem · Hard problem

How many positive integers n≤200n \le 200 satisfy x≡1(mod3),x≡3(mod5),x≡0(mod7)x \equiv 1 \pmod{3},\quad x \equiv 3 \pmod{5},\quad x \equiv 0 \pmod{7}?