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MathNet 2026 — Part 02 Question 8

Math Olympiad Vault · MathNet 2026 — Part 02

Question 8

The number $119$ is very interesting because it leaves the rest $1$ when divided by $2$, it leaves the rest $2$ when divided by $3$, it leaves Remain $3$ when divided by $4$, leaves rest $4$ when divided by $5$ and finally leaves rest $5$ when divided by $6$. Are there other three-digit numbers with these properties?