# Question: euclids theorem about perfect numbers depends on the prime divisor...

###### Question details

Euclid’s theorem about perfect numbers depends on the prime divisor prop- erty, which will be proved in the next section. Assuming this for the moment, it follows that if is a prime , then the proper divisors of (those unequal to itself) are

and .

Given that the divisors of are those just listed, show that is

perfect when is prime.