Question: Two numbers are called amicable if each is equal to the sum of the proper divisors of the other. If p, q, r are distinct

Two numbers are called amicable if each is equal to the sum of the proper divisors of the other. If p, q, r are distinct primes of the form 3 2 n1 1, 3 2 n 1 and 9 2 2n1 1 respectively, show that M = 2n pq, N = 2n r, are amicable numbers. (This is a result of Thabit Ibn-Qurra proved around 900 CE.)

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