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MathNet 2006 — Part 04 Question 187

Math Olympiad Vault · MathNet 2006 — Part 04

Question 187

Find the prime factorization of
$$
2006^{2} \cdot 2262 - 669^{2} \cdot 3599 + 1593^{2} \cdot 1337
$$
(No proof is necessary.)