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A question regarding a paper of Ochem and Rao about the radical of an odd perfect number

score 106 · Answer 1 · 2026-05-10 15:30:29

106

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A question regarding a paper of Ochem and Rao about the radical of an odd perfect number

Published on 10 May 2026 - 15:30

score 64 · Answer 2 · 2026-04-14 19:48:42

64

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Has it been conjectured that all $k$-multiperfect numbers are multiples of $k$?

Published on 14 Apr 2026 - 19:48

score 91 · Answer 3 · 2026-04-16 14:29:09

In a perfect number $2^{p−1} \times (2^p − 1)$, the ratio of $p$ to the digits in its perfect number approaches $\log(10) / \log(4)$?

score 213 · Answer 4 · 2026-05-07 13:15:17

213

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Is there an anomaly in the distribution of Mersenne primes?

Published on 07 May 2026 - 13:15

score 42 · Answer 5 · 2026-04-14 08:36:11

42

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Divisors of a $ k $-multiperfect number

Published on 14 Apr 2026 - 8:36

score 72 · Answer 6 · 2026-05-10 12:53:51

72

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On an interesting assertion in the OeisWiki page on multiply-perfect numbers

Published on 10 May 2026 - 12:53

score 206 · Answer 7 · 2026-05-10 15:30:16

206

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On Yanqi Xu's 2016 joint undergraduate math research project with Dr. Judy Holdener at Kenyon College

Published on 10 May 2026 - 15:30

score 340 · Answer 8 · 2026-05-10 15:30:05

340

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On Basak's "Bounds On Factors Of Odd Perfect Numbers"

Published on 10 May 2026 - 15:30

score 62 · Answer 9 · 2026-04-16 11:40:19

62

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On some inequalities relating the special/Euler prime and non-Euler part of odd perfect numbers

Published on 16 Apr 2026 - 11:40

score 80 · Answer 10 · 2026-04-14 05:30:16

80

Views

Can this inequality regarding odd perfect numbers be improved?

Published on 14 Apr 2026 - 5:30

score 50 · Answer 11 · 2026-04-15 22:32:49

50

Views

Improving the bound for $\sigma(q^k)/q^k$ where $q^k n^2$ is an odd perfect number given in Eulerian form

Published on 15 Apr 2026 - 22:32

score 142 · Answer 12 · 2026-04-15 00:37:21

142

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Can these bounds in terms of the abundancy index and deficiency functions be improved for deficient-perfect numbers?

Published on 15 Apr 2026 - 0:37

score 78 · Answer 13 · 2026-04-13 21:11:55

78

Views

A consequence of assuming the Descartes-Frenicle-Sorli Conjecture on odd perfect numbers

Published on 13 Apr 2026 - 21:11

score 198 · Answer 14 · 2026-04-14 07:20:54

198

Views

Median divisor of even perfect numbers

Published on 14 Apr 2026 - 7:20

score 201 · Answer 15 · 2026-04-17 13:19:50

201

Views

If $q^k n^2$ is an odd perfect number with special prime $q$, then $n^2 - q^k$ is not a square.

Published on 17 Apr 2026 - 13:19

List Question

A question regarding a paper of Ochem and Rao about the radical of an odd perfect number

Has it been conjectured that all $k$-multiperfect numbers are multiples of $k$?

In a perfect number $2^{p−1} \times (2^p − 1)$, the ratio of $p$ to the digits in its perfect number approaches $\log(10) / \log(4)$?

Is there an anomaly in the distribution of Mersenne primes?

Divisors of a $ k $-multiperfect number

On an interesting assertion in the OeisWiki page on multiply-perfect numbers

On Yanqi Xu's 2016 joint undergraduate math research project with Dr. Judy Holdener at Kenyon College

On Basak's "Bounds On Factors Of Odd Perfect Numbers"

On some inequalities relating the special/Euler prime and non-Euler part of odd perfect numbers

Can this inequality regarding odd perfect numbers be improved?

Improving the bound for $\sigma(q^k)/q^k$ where $q^k n^2$ is an odd perfect number given in Eulerian form

Can these bounds in terms of the abundancy index and deficiency functions be improved for deficient-perfect numbers?

A consequence of assuming the Descartes-Frenicle-Sorli Conjecture on odd perfect numbers

Median divisor of even perfect numbers

If $q^k n^2$ is an odd perfect number with special prime $q$, then $n^2 - q^k$ is not a square.

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