List questions from perfect-numbers

Published on 25 Mar 2026 - 7:48

122

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On GCDs and odd perfect numbers

Published on 25 Mar 2026 - 12:16

107

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Why aren't these equivalent definitions of a perfect number contradictory?

Published on 03 Mar 2019 - 15:56

549

Views

$n$-th term of the series 1 27 125 1000

Published on 25 Mar 2026 - 6:04

124

Views

Breaking the barriers at $q=5$ and $q=13$ for $q^k n^2$ an odd perfect number with special prime $q$

Published on 25 Mar 2026 - 7:53

661

Views

Find all prime numbers $p$ such that $5^p+ 4p^4$ is a perfect square

Published on 20 Apr 2019 - 16:33

221

Views

If $N$ is deficient-perfect, under what conditions does this inequality hold?

Published on 25 Mar 2026 - 13:55

64

Views

Odd Perfect number does not exist: where is the error in this proof

Published on 30 Apr 2019 - 11:34

128

Views

Does this iterated sequence always end in a finite number of steps to a number which is divisible by a perfect number?

Published on 25 Mar 2026 - 13:56

82

Views

Perfect numbers of the form $2^x 3^y$ , is my proof correct?

Published on 15 May 2019 - 15:10

245

Views

On prime factors of odd perfect numbers

Published on 25 Mar 2026 - 13:55

60

Views

Does there exist a finite group that is both perfect and immaculate?

Published on 25 Mar 2026 - 17:46

85

Views

Did Descartes and Frénicle consider deficient-perfect numbers?

Published on 25 Mar 2026 - 15:42

59

Views

Is there a specific equation relating $\varphi(N)$ to $\sigma(N)$ when $N = q^k n^2$ is an odd perfect number?

Published on 25 Mar 2026 - 15:42

123

Views

Is it possible to improve on the bounds for $\varphi(N)/N$, if $N = q^k n^2$ is an odd perfect number with special prime $q$?

Published on 06 Jul 2019 - 2:58

List Question

On the golden ratio and odd perfect numbers

On GCDs and odd perfect numbers

Why aren't these equivalent definitions of a perfect number contradictory?

$n$-th term of the series 1 27 125 1000

Breaking the barriers at $q=5$ and $q=13$ for $q^k n^2$ an odd perfect number with special prime $q$

Find all prime numbers $p$ such that $5^p+ 4p^4$ is a perfect square

If $N$ is deficient-perfect, under what conditions does this inequality hold?

Odd Perfect number does not exist: where is the error in this proof

Does this iterated sequence always end in a finite number of steps to a number which is divisible by a perfect number?

Perfect numbers of the form $2^x 3^y$ , is my proof correct?

On prime factors of odd perfect numbers

Does there exist a finite group that is both perfect and immaculate?

Did Descartes and Frénicle consider deficient-perfect numbers?

Is there a specific equation relating $\varphi(N)$ to $\sigma(N)$ when $N = q^k n^2$ is an odd perfect number?

Is it possible to improve on the bounds for $\varphi(N)/N$, if $N = q^k n^2$ is an odd perfect number with special prime $q$?

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