We call a positive integer perfect if it equals the sum of

Chapter 4, Problem 18E

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QUESTION:

Problem 18E

We call a positive integer perfect if it equals the sum of its positive divisors other than itself.

a)  Show that 6 and 28 are perfect.

b)  Show that 2p-1(2p- 1) is a perfect number when 2p -1 is prime.

Questions & Answers

QUESTION:

Problem 18E

We call a positive integer perfect if it equals the sum of its positive divisors other than itself.

a)  Show that 6 and 28 are perfect.

b)  Show that 2p-1(2p- 1) is a perfect number when 2p -1 is prime.

ANSWER:

SOLUTION

Step 1

We have to show that 6 and 28 are perfect .

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