MathDB

4

Part of 2016 IMAR Test

Problems(1)

n^n + 1 is a perfect number

Source: IMAR 2016 p4

9/27/2018
A positive integer mm is perfect if the sum of all its positive divisors, 11 and mm inclusive, is equal to 2m2m. Determine the positive integers nn such that nn+1n^n + 1 is a perfect number.
number theoryperfect numberPerfect Numbers