Question

Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers

score 80 · Answer 1 · 2026-05-05 11:55:20

80

Views

Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers

Published on 05 May 2026 - 11:55

score 46 · Answer 2 · 2026-04-29 12:23:52

46

Views

Are there imperfects or pluperfects numbers?

Published on 29 Apr 2026 - 12:23

score 110 · Answer 3 · 2026-05-01 13:15:58

110

Views

If an odd perfect number exist could be a solitary number?

Published on 01 May 2026 - 13:15

score 280 · Answer 4 · 2026-05-07 07:35:38

280

Views

What about the equation $\sigma(2n)=2\left(n+\sigma(n)\right),$ involving the sum of divisor function?

Published on 07 May 2026 - 7:35

score 159 · Answer 5 · 2026-05-07 12:43:27

159

Views

Does the existence of infinite number of Leinster groups indicate the existence of infinite number of perfect numbers?

Published on 07 May 2026 - 12:43

score 125 · Answer 6 · 2026-05-07 12:42:02

125

Views

Bounds for an expression involving the divisors of an odd perfect number

Published on 07 May 2026 - 12:42

score 143 · Answer 7 · 2026-05-07 12:45:18

143

Views

Is there a $31$-dimensional manifold with 496 differential structures?

Published on 07 May 2026 - 12:45

score 149 · Answer 8 · 2026-05-05 16:40:11

149

Views

Is the occurence of two perfect numbers a coincidence?

Published on 05 May 2026 - 16:40

score 111 · Answer 9 · 2026-05-05 15:51:29

111

Views

If $q^k n^2$ is an odd perfect number with Euler prime $q$, does this equation imply that $k=1$?

Published on 05 May 2026 - 15:51

score 111 · Answer 10 · 2026-05-03 13:51:17

111

Views

On miscellaneous questions about perfect numbers III

Published on 03 May 2026 - 13:51

score 243 · Answer 11 · 2026-05-07 07:37:57

243

Views

Any proof for :Sum of two perfect number never be a perfect number?

Published on 07 May 2026 - 7:37

score 179 · Answer 12 · 2026-04-22 18:46:05

179

Views

Even perfect number that is also a sum of two cubes

Published on 22 Apr 2026 - 18:46

score 48 · Answer 13 · 2026-04-23 10:54:13

48

Views

Does there exist a natural number $N = xy$ satisfying $D(x)D(y) = 2s(x)s(y)$ with $\gcd(x,y)=1$?

Published on 23 Apr 2026 - 10:54

score 363 · Answer 14 · 2026-04-23 04:37:47

363

Views

If $\sigma(n)=2n$, how about the relationship between $\sigma(mn)$ and $2mn$?

Published on 23 Apr 2026 - 4:37

score 398 · Answer 15 · 2026-04-23 02:49:44

398

Views

If $n = km$ is a Descartes number with quasi-Euler prime $m$, then $m < k$.

Published on 23 Apr 2026 - 2:49

List Question

Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers

Are there imperfects or pluperfects numbers?

If an odd perfect number exist could be a solitary number?

What about the equation $\sigma(2n)=2\left(n+\sigma(n)\right),$ involving the sum of divisor function?

Does the existence of infinite number of Leinster groups indicate the existence of infinite number of perfect numbers?

Bounds for an expression involving the divisors of an odd perfect number

Is there a $31$-dimensional manifold with 496 differential structures?

Is the occurence of two perfect numbers a coincidence?

If $q^k n^2$ is an odd perfect number with Euler prime $q$, does this equation imply that $k=1$?

On miscellaneous questions about perfect numbers III

Any proof for :Sum of two perfect number never be a perfect number?

Even perfect number that is also a sum of two cubes

Does there exist a natural number $N = xy$ satisfying $D(x)D(y) = 2s(x)s(y)$ with $\gcd(x,y)=1$?

If $\sigma(n)=2n$, how about the relationship between $\sigma(mn)$ and $2mn$?

If $n = km$ is a Descartes number with quasi-Euler prime $m$, then $m < k$.

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