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Part of 1996 Japan MO Finals

Problems(1)

Find gcd(5^m+7^m,5^n+7^n) for coprime m,n

Source: Japanese MO Finals 1996

2/11/2011
Let m,nm,n be positive integers with (m,n)=1(m,n)=1. Find (5m+7m,5n+7n)(5^m+7^m,5^n+7^n).
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