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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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probable answer

| Comment 1 of 7

n={3}

Divisors of 28 are {1,2,4,7,14,28}

56 = 2*(28) = 1+2+4+7+14+28 therefore 28 is a perfect number,
and as 3³+1 = 28, 3 is in the set of positive integers n where nⁿ+1 is a perfect number.

Posted by Dej Mar on 2021-02-07 11:13:06

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