List questions from perfect-numbers

Published on 25 Mar 2026 - 4:40

79

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Specific evidence for or against the Descartes-Frenicle-Sorli conjecture on odd perfect numbers

Published on 25 Mar 2026 - 4:42

141

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Is $198585576189$ a member of OEIS sequence A228059?

Published on 25 Mar 2026 - 6:05

55

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On the quantity ${n^2}/D(n^2)$ where $n^2$ is the non-Euler part of members of the OEIS sequence A228059

Published on 25 Mar 2026 - 4:42

102

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Is there a notion "above" that of perfect numbers?

Published on 22 Mar 2026 - 17:30

185

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Question about a result on odd perfect numbers

Published on 25 Mar 2026 - 6:08

93

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Inquiry about the Wolfram MathWorld entry on Odd Perfect Number

Published on 25 Mar 2026 - 6:00

72

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Are there any other squares $n^2$ for which $\gcd(n^2, \sigma(n^2)) = 2n^2 - \sigma(n^2)$?

Published on 25 Mar 2026 - 6:04

117

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Is $(q^k n^2 \text{ is perfect }) \iff (D(q^k)D(n^2) = 2s(q^k)s(n^2))$ only true for odd perfect numbers $q^k n^2$?

Published on 25 Mar 2026 - 6:06

142

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What is the common (and simplified) value for $D(q^k)D(n^2) = 2s(q^k)s(n^2)$ when $q^k n^2$ is an odd perfect number?

Published on 25 Mar 2026 - 6:06

562

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Why are perfect numbers called perfect numbers?

Published on 22 Mar 2026 - 11:38

104

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Does mathlove's answer imply that $D(n^2) \mid n^2$?

Published on 25 Mar 2026 - 6:01

163

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Could a Fermat prime divide an odd perfect number?

Published on 25 Mar 2026 - 6:02

2.2k

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If $p=2^n-1$ is prime, therefore $2^{n-1}·(2^n-1)$ is perfect

Published on 21 Oct 2018 - 12:23

260

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Can this bound for the abundancy index of $n$ be improved, given that $q^k n^2$ is an odd perfect number with $k=1$?

Published on 25 Mar 2026 - 7:45

List Question

Is ${n^2}/D(n^2) \in \mathbb{N}$, if $q^k n^2$ is an odd perfect number?

Specific evidence for or against the Descartes-Frenicle-Sorli conjecture on odd perfect numbers

Is $198585576189$ a member of OEIS sequence A228059?

On the quantity ${n^2}/D(n^2)$ where $n^2$ is the non-Euler part of members of the OEIS sequence A228059

Is there a notion "above" that of perfect numbers?

Question about a result on odd perfect numbers

Inquiry about the Wolfram MathWorld entry on Odd Perfect Number

Are there any other squares $n^2$ for which $\gcd(n^2, \sigma(n^2)) = 2n^2 - \sigma(n^2)$?

Is $(q^k n^2 \text{ is perfect }) \iff (D(q^k)D(n^2) = 2s(q^k)s(n^2))$ only true for odd perfect numbers $q^k n^2$?

What is the common (and simplified) value for $D(q^k)D(n^2) = 2s(q^k)s(n^2)$ when $q^k n^2$ is an odd perfect number?

Why are perfect numbers called perfect numbers?

Does mathlove's answer imply that $D(n^2) \mid n^2$?

Could a Fermat prime divide an odd perfect number?

If $p=2^n-1$ is prime, therefore $2^{n-1}·(2^n-1)$ is perfect

Can this bound for the abundancy index of $n$ be improved, given that $q^k n^2$ is an odd perfect number with $k=1$?

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