Question

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

score 274 · Answer 1 · 2026-03-26 13:47:59

274

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 26 Mar 2026 - 13:47

score 259 · Answer 2 · 2023-03-03 13:36:48

259

Views

Is there an infinite composite numbers $n$ such that $\sigma(\sigma(n)+n) = 2 \cdot \sigma(n)$

Published on 03 Mar 2023 - 13:36

score 115 · Answer 3 · 2023-03-05 18:18:25

115

Views

Is $n=2$ the only even solution of $\sigma(\sigma(n)+n)=2\sigma(n)$?

Published on 05 Mar 2023 - 18:18

score 93 · Answer 4 · 2023-03-10 04:23:42

93

Views

Lower bound for divisor counting function

Published on 10 Mar 2023 - 4:23

score 80 · Answer 5 · 2023-03-15 16:53:41

80

Views

Solution of $\sigma(\sigma(m)+m)=2\sigma(m)$ with $\omega(m)>8$?

Published on 15 Mar 2023 - 16:53

score 41 · Answer 6 · 2026-03-26 13:45:56

41

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 26 Mar 2026 - 13:45

score 34 · Answer 7 · 2026-03-26 13:46:34

34

Views

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

Published on 26 Mar 2026 - 13:46

score 141 · Answer 8 · 2026-03-26 13:41:44

141

Views

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

Published on 26 Mar 2026 - 13:41

score 181 · Answer 9 · 2026-03-26 13:46:37

181

Views

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

Published on 26 Mar 2026 - 13:46

score 431 · Answer 10 · 2026-03-26 12:40:35

431

Views

Is this a new representation of (some) Bernoulli numbers?

Published on 26 Mar 2026 - 12:40

score 267 · Answer 11 · 2026-03-26 13:44:14

267

Views

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

Published on 26 Mar 2026 - 13:44

score 108 · Answer 12 · 2026-03-25 16:46:29

108

Views

On a conjecture involving multiplicative functions and the integers $1836$ and $136$

Published on 25 Mar 2026 - 16:46

score 139 · Answer 13 · 2026-03-25 16:46:30

139

Views

On a conjecture involving multiplicative functions and the integers $1836$ and $137$

Published on 25 Mar 2026 - 16:46

score 103 · Answer 14 · 2023-06-02 06:27:40

103

Views

Limit of convolution sums of divisor functions

Published on 02 Jun 2023 - 6:27

score 72 · Answer 15 · 2026-03-25 12:15:03

72

Views

Continued aliquot sums

Published on 25 Mar 2026 - 12:15

List Question

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

Is there an infinite composite numbers $n$ such that $\sigma(\sigma(n)+n) = 2 \cdot \sigma(n)$

Is $n=2$ the only even solution of $\sigma(\sigma(n)+n)=2\sigma(n)$?

Lower bound for divisor counting function

Solution of $\sigma(\sigma(m)+m)=2\sigma(m)$ with $\omega(m)>8$?

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

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

Is this a new representation of (some) Bernoulli numbers?

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

On a conjecture involving multiplicative functions and the integers $1836$ and $136$

On a conjecture involving multiplicative functions and the integers $1836$ and $137$

Limit of convolution sums of divisor functions

Continued aliquot sums

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