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

score 103 · Answer 1 · 2026-03-25 07:45:44

103

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

Published on 25 Mar 2026 - 7:45

score 61 · Answer 2 · 2018-12-03 22:49:37

61

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

Published on 03 Dec 2018 - 22:49

score 89 · Answer 3 · 2018-12-07 03:39:33

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 211 · Answer 4 · 2026-02-22 23:10:58

211

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Is there an anomaly in the distribution of Mersenne primes?

Published on 22 Feb 2026 - 23:10

score 38 · Answer 5 · 2018-12-23 21:02:25

38

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Divisors of a $ k $-multiperfect number

Published on 23 Dec 2018 - 21:02

score 69 · Answer 6 · 2026-03-25 10:56:10

69

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

Published on 25 Mar 2026 - 10:56

score 203 · Answer 7 · 2026-03-25 07:54:21

203

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

Published on 25 Mar 2026 - 7:54

score 337 · Answer 8 · 2026-03-25 07:52:28

337

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

Published on 25 Mar 2026 - 7:52

score 60 · Answer 9 · 2026-03-25 10:56:59

60

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

Published on 25 Mar 2026 - 10:56

score 78 · Answer 10 · 2026-03-25 10:52:48

78

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Can this inequality regarding odd perfect numbers be improved?

Published on 25 Mar 2026 - 10:52

score 48 · Answer 11 · 2026-03-25 12:21:18

48

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 25 Mar 2026 - 12:21

score 140 · Answer 12 · 2026-03-25 12:21:13

140

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

Published on 25 Mar 2026 - 12:21

score 76 · Answer 13 · 2026-03-25 12:21:15

76

Views

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

Published on 25 Mar 2026 - 12:21

score 193 · Answer 14 · 2019-02-18 02:10:57

193

Views

Median divisor of even perfect numbers

Published on 18 Feb 2019 - 2:10

score 198 · Answer 15 · 2019-02-21 16:08:53

198

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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 21 Feb 2019 - 16:08

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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