Question

Is this disproof for the Descartes-Frenicle-Sorli Conjecture that $k=1$, if $p^k m^2$ is an odd perfect number, valid?

score 120 · Answer 1 · 2023-02-25 07:24:33

120

Views

Is this disproof for the Descartes-Frenicle-Sorli Conjecture that $k=1$, if $p^k m^2$ is an odd perfect number, valid?

Published on 25 Feb 2023 - 7:24

score 273 · Answer 2 · 2023-02-28 08:06:33

273

Views

Determining whether $\sigma(q^k)/2$ is squarefree, where $q^k n^2$ is an odd perfect number with special prime $q$

Published on 28 Feb 2023 - 8:06

score 204 · Answer 3 · 2023-03-05 20:36:02

204

Views

Can $1!+2!+3!+\cdots n!$ be a perfect number?

Published on 05 Mar 2023 - 20:36

score 40 · Answer 4 · 2023-03-25 08:40:39

40

Views

Is this proof for the divisibility constraint $\sigma(q^k)/2 \mid n$ correct, where $q^k n^2$ is an odd perfect number with special prime $q$?

Published on 25 Mar 2023 - 8:40

score 33 · Answer 5 · 2023-04-10 15:03:38

33

Views

On the divisibility constraint $\sigma(q^k)/2 \nmid n$ and the Descartes spoof

Published on 10 Apr 2023 - 15:03

score 140 · Answer 6 · 2023-04-12 16:17:31

140

Views

Proving $n \mid \sigma(n^2)$

Published on 12 Apr 2023 - 16:17

score 251 · Answer 7 · 2023-04-13 18:26:28

251

Views

Can a repunit number be a perfect number?

Published on 13 Apr 2023 - 18:26

score 180 · Answer 8 · 2023-05-02 15:20:17

180

Views

Does an odd perfect number have a divisor (other than $1$) which must necessarily be almost perfect?

Published on 02 May 2023 - 15:20

score 331 · Answer 9 · 2023-05-03 09:06:19

331

Views

Odd perfect numbers

Published on 03 May 2023 - 9:06

score 392 · Answer 10 · 2023-05-04 14:55:42

392

Views

Under what conditions is it true that $m^2 - a$ is not a square if and only if $(m - 1)^2 < m^2 - a < m^2$, where $a>0$?

Published on 04 May 2023 - 14:55

score 266 · Answer 11 · 2023-05-13 19:17:04

266

Views

Who discovered the largest known $3$-perfect number in $1643$?

Published on 13 May 2023 - 19:17

score 38 · Answer 12 · 2023-07-03 12:15:27

38

Views

Upper bounds of the frequency of perfect numbers.

Published on 03 Jul 2023 - 12:15

score 49 · Answer 13 · 2026-03-25 20:35:14

49

Views

Specific Prime Numbers Chain proofs of maximum length limits.

Published on 25 Mar 2026 - 20:35

score 205 · Answer 14 · 2023-07-27 15:32:02

205

Views

Is $28$ the only perfect number that is form of $n^n+1$?

Published on 27 Jul 2023 - 15:32

score 92 · Answer 15 · 2023-10-06 23:46:09

92

Views

Is any number one less than the sum of its proper divisors?

Published on 06 Oct 2023 - 23:46

List Question

Is this disproof for the Descartes-Frenicle-Sorli Conjecture that $k=1$, if $p^k m^2$ is an odd perfect number, valid?

Determining whether $\sigma(q^k)/2$ is squarefree, where $q^k n^2$ is an odd perfect number with special prime $q$

Can $1!+2!+3!+\cdots n!$ be a perfect number?

Is this proof for the divisibility constraint $\sigma(q^k)/2 \mid n$ correct, where $q^k n^2$ is an odd perfect number with special prime $q$?

On the divisibility constraint $\sigma(q^k)/2 \nmid n$ and the Descartes spoof

Proving $n \mid \sigma(n^2)$

Can a repunit number be a perfect number?

Does an odd perfect number have a divisor (other than $1$) which must necessarily be almost perfect?

Odd perfect numbers

Under what conditions is it true that $m^2 - a$ is not a square if and only if $(m - 1)^2 < m^2 - a < m^2$, where $a>0$?

Who discovered the largest known $3$-perfect number in $1643$?

Upper bounds of the frequency of perfect numbers.

Specific Prime Numbers Chain proofs of maximum length limits.

Is $28$ the only perfect number that is form of $n^n+1$?

Is any number one less than the sum of its proper divisors?

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