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MathNet 2021 — Part 06 Question 77

Math Olympiad Vault · MathNet 2021 — Part 06

Question 77

Find all six-digit numbers $n$ with the following properties:

* the number formed by the last three digits of $n$ is exactly 4 greater than the number formed by the first three digits of $n$;
* $n$ is the square of an integer.