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MathNet 2025 — 50 problems — Part 01 Question 47

Math Olympiad Vault · MathNet 2025 — 50 problems — Part 01

Question 47

Compute the unique 5-digit positive integer $abcde$ such that $a \neq 0$, $c \neq 0$, and
$$abcde = (ab + cde)^2.$$ Here strings of digits denote concatenated numbers.