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IMO 1984 - Shortlisted Problems Question 12

IMO Shortlist · IMO 1984 - Shortlisted Problems

Question 12

(NET 1) IMO2 Find two positive integers $a,b$ such that none of the numbers $a,b,a+b$ is divisible by $7$ and $(a+b)^7-a^7-b^7$ is divisible by $7^7$.