MathDB
IOQM P21 2024

Source:

September 8, 2024

Problem Statement

An integer nn such that n9\Bigl\lfloor \frac{n}{9} \Bigr\rfloor is a three digit number with equal digits, and n1724\Bigl\lfloor \frac{n-172}{4} \Bigr\rfloor is a 44 digit number with the digits 2,0,2,42,0,2,4 in some order. What is the remainder when nn is divided by 100100?