A perfect number is a positive integer n that equals the sum of all divisors less than
Chapter 2, Problem 49(choose chapter or problem)
A perfect number is a positive integer n that equals the sum of all divisors less than n. For example, 6 is a perfect number because 6 = 1 + 2 + 3. Perfect numbers are related to Mersenne primes (see Exercise 47) in that if p is a prime and 2p 1 is a prime, then 2p1 (2p 1) is a perfect number. (This result was proved by Euclid around 300 b.c.). For example, 6 = 21 (22 1). a. Prove that 28 is a perfect number by writing it as the sum of its divisors. b. Write 28 in the form 2p1 (2p 1).
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