A positive integer is called whole if it equals the sum of itspositive divisors. Example: 6 is whole because the divisors of 6are1,2 and 3 and 6=1+2+3.
1) Show that 28 is whole.
We want to show that the number n =2p−1(2p − 1) is a whole number when2p − 1 is prime.
2) What are the divisors of 2p−1? (it might help totry various values: what are the divisors of 23 or24…?)
3) What is their sum? Hint: 1+2+22 +…2k=2k+1 −1(geometric series)
4) Is 2(2p − 1) a divisor of n? How about22(2p − 1)? Finish the proof.
I specifically need a more detailed ans
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