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Powered to perfect (Posted on 2021-02-07)

A positive integer m is perfect if the sum of all its positive divisors, 1 and m inclusive, is equal to 2m.

Determine the positive integers n such that nⁿ+1 is a perfect number.

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 3.6667 (3 votes)

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Puzzle Answer

Comment 7 of 7 |

The only positive integer that satisfies the given conditions is n=3- which gives,:

n^n+1=28, a perfect number.

Posted by K Sengupta on 2022-05-12 23:09:32

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