Question

On miscellaneous questions about perfect numbers I

score 53 · Answer 1 · 2026-04-22 19:10:36

53

Views

On miscellaneous questions about perfect numbers I

Published on 22 Apr 2026 - 19:10

score 73 · Answer 2 · 2026-04-28 00:40:03

73

Views

On miscellaneous questions about perfect numbers II

Published on 28 Apr 2026 - 0:40

score 111 · Answer 3 · 2026-05-03 13:51:17

111

Views

On miscellaneous questions about perfect numbers III

Published on 03 May 2026 - 13:51

score 226 · Answer 4 · 2026-04-17 01:13:40

226

Views

On the equation involving the sum of divisors function $\sigma(105n+\sigma(n))=108\sigma(n)$

Published on 17 Apr 2026 - 1:13

score 58 · Answer 5 · 2026-04-12 22:18:59

58

Views

Are all denominators of $\zeta(2n)$ abundant, for $n\geq2$?

Published on 12 Apr 2026 - 22:18

score 48 · Answer 6 · 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 48 · Answer 7 · 2026-04-15 09:49:58

48

Views

Does there exist an odd natural number $N = xy$ satisfying $D(x)D(y) = 2s(x)s(y)$?

Published on 15 Apr 2026 - 9:49

score 398 · Answer 8 · 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

score 151 · Answer 9 · 2026-04-14 03:39:07

151

Views

Equations involving arithmetic functions, totatives and even perfect numbers

Published on 14 Apr 2026 - 3:39

score 67 · Answer 10 · 2026-05-03 08:48:55

67

Views

Deduce the number of divisors, $d(n)$ is multiplicative and obtain a formula of $d(n)$ in terms of prime decomposition

Published on 03 May 2026 - 8:48

score 116 · Answer 11 · 2026-04-15 06:37:43

116

Views

For the number of divisors function, $d(n)$, deduce all positive integers when $d(n)$ is odd

Published on 15 Apr 2026 - 6:37

score 109 · Answer 12 · 2026-04-16 09:49:38

109

Views

A problem similar than that of the amicable pairs using the function $\operatorname{rad}(k)$: a first statement or conjecture

Published on 16 Apr 2026 - 9:49

score 104 · Answer 13 · 2026-04-14 02:48:24

104

Views

Where is the mistake in the argument? (And two conjectures)

Published on 14 Apr 2026 - 2:48

score 869 · Answer 14 · 2026-04-29 12:49:37

869

Views

A conjecture concerning the number of divisors and the sum of divisors.

Published on 29 Apr 2026 - 12:49

score 103 · Answer 15 · 2026-04-15 07:34:13

103

Views

Can the following argument be pushed to a full proof that $(p + 2)/p$ is an outlaw if $p$ is an odd prime?

Published on 15 Apr 2026 - 7:34

List Question

On miscellaneous questions about perfect numbers I

On miscellaneous questions about perfect numbers II

On miscellaneous questions about perfect numbers III

On the equation involving the sum of divisors function $\sigma(105n+\sigma(n))=108\sigma(n)$

Are all denominators of $\zeta(2n)$ abundant, for $n\geq2$?

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

Does there exist an odd natural number $N = xy$ satisfying $D(x)D(y) = 2s(x)s(y)$?

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

Equations involving arithmetic functions, totatives and even perfect numbers

Deduce the number of divisors, $d(n)$ is multiplicative and obtain a formula of $d(n)$ in terms of prime decomposition

For the number of divisors function, $d(n)$, deduce all positive integers when $d(n)$ is odd

A problem similar than that of the amicable pairs using the function $\operatorname{rad}(k)$: a first statement or conjecture

Where is the mistake in the argument? (And two conjectures)

A conjecture concerning the number of divisors and the sum of divisors.

Can the following argument be pushed to a full proof that $(p + 2)/p$ is an outlaw if $p$ is an odd prime?

Trending Questions

Popular # Hahtags

Popular Questions