Euler's formula for generating amicable pairs of integers is the following rule: = Suppose n> m > 1 are integers such that p 2m (2n-m+1) – 1, q = 2n (2n-m+1) – 1, and r = 2n+m (2n-m + 1) 1 are all prime numbers. Then a = = 2" pq and b = 2nr are amicable numbers. Prove that Euler's formula for generating amicable pairs of integers works. =

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