N is a four-digit positive integer. Dividing N by 9, the remainder is 5. Dividing N by 7, the remainder is 4. Dividing N by 5, the remainder is 1. What is the smallest possible value of N?

Guest Oct 23, 2021

#1**0 **

By the Chinese Remainder Theorem, we have $N \equiv 221 \pmod {315}$

The least such integer is $\boxed{221}$

MathProblemSolver101 Oct 23, 2021