List questions from perfect-numbers

Published on 16 Apr 2026 - 7:44

81

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

Published on 13 Apr 2026 - 0:08

143

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Is $198585576189$ a member of OEIS sequence A228059?

Published on 15 Apr 2026 - 12:25

56

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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 15 Apr 2026 - 15:45

104

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

Published on 09 Apr 2026 - 17:05

187

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Question about a result on odd perfect numbers

Published on 10 Apr 2026 - 6:17

94

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Inquiry about the Wolfram MathWorld entry on Odd Perfect Number

Published on 14 Apr 2026 - 17:16

75

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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 10 May 2026 - 14:32

120

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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 10 May 2026 - 14:32

143

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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 10 May 2026 - 14:32

565

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Why are perfect numbers called perfect numbers?

Published on 13 Apr 2026 - 2:43

107

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

Published on 10 May 2026 - 14:30

166

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Could a Fermat prime divide an odd perfect number?

Published on 10 May 2026 - 14:30

2.2k

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

Published on 14 Apr 2026 - 4:27

262

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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 15 Apr 2026 - 23:34

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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