Question

Does mathlove's answer imply that $D(n^2) \mid n^2$?

score 104 · Answer 1 · 2026-03-25 06:01:20

104

Views

Does mathlove's answer imply that $D(n^2) \mid n^2$?

Published on 25 Mar 2026 - 6:01

score 163 · Answer 2 · 2026-03-25 06:02:19

163

Views

Could a Fermat prime divide an odd perfect number?

Published on 25 Mar 2026 - 6:02

score 260 · Answer 3 · 2026-03-25 07:45:51

260

Views

Can this bound for the abundancy index of $n$ be improved, given that $q^k n^2$ is an odd perfect number with $k=1$?

Published on 25 Mar 2026 - 7:45

score 79 · Answer 4 · 2018-10-27 19:03:11

79

Views

Divisibility rule

Published on 27 Oct 2018 - 19:03

score 222 · Answer 5 · 2026-03-25 10:57:28

222

Views

Can any integer, not a multiple of three, be represented as $n = \sum_{i=0}^{a-1} 3^i \times 2^{b_i}$?

Published on 25 Mar 2026 - 10:57

score 174 · Answer 6 · 2026-03-25 06:22:52

174

Views

If $x$ and $y$ are solitary numbers satisfying $\gcd(x,y)=1$, under what conditions does it follow that $xy$ is also solitary?

Published on 25 Mar 2026 - 6:22

score 62 · Answer 7 · 2026-03-25 10:55:47

62

Views

When given a non-multiple of $3$, $k$, is it possible construct $m<k$ with these conditions?

Published on 25 Mar 2026 - 10:55

score 64 · Answer 8 · 2018-11-03 17:46:13

64

Views

$\sum_i X_i^2$ has $\chi^2_{n}$ distribution and $X_i$ i.i.d. imply $X_i$ normal

Published on 03 Nov 2018 - 17:46

score 197 · Answer 9 · 2026-03-25 11:03:22

197

Views

Where is the flaw in this proof of Legendre's Conjecture?

Published on 25 Mar 2026 - 11:03

score 90 · Answer 10 · 2018-11-10 23:43:20

90

Views

A weaker conjecture than a known conjecture

Published on 10 Nov 2018 - 23:43

score 114 · Answer 11 · 2026-03-25 10:53:44

114

Views

Which numbers will iterate to others under the Collatz iteration?

Published on 25 Mar 2026 - 10:53

score 101 · Answer 12 · 2026-02-22 23:12:31

101

Views

The sum of all divisors of $N$ is a 2 potency iff $N$ is a product of different Mersenne primes

Published on 22 Feb 2026 - 23:12

score 103 · Answer 13 · 2026-03-25 07:45:44

103

Views

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 77 · Answer 14 · 2026-03-25 07:45:59

77

Views

What proportion of the positive integers satisfies $\gcd(n^2,\sigma(n^2))>\sigma(n)$, where $\sigma$ is the sum-of-divisors function?

Published on 25 Mar 2026 - 7:45

score 178 · Answer 15 · 2018-12-05 19:58:26

178

Views

For all $n>1$ there are positive $a+b=n$ such that $a+ab+b\in\mathbb P$

Published on 05 Dec 2018 - 19:58

List Question

Does mathlove's answer imply that $D(n^2) \mid n^2$?

Could a Fermat prime divide an odd perfect number?

Can this bound for the abundancy index of $n$ be improved, given that $q^k n^2$ is an odd perfect number with $k=1$?

Divisibility rule

Can any integer, not a multiple of three, be represented as $n = \sum_{i=0}^{a-1} 3^i \times 2^{b_i}$?

If $x$ and $y$ are solitary numbers satisfying $\gcd(x,y)=1$, under what conditions does it follow that $xy$ is also solitary?

When given a non-multiple of $3$, $k$, is it possible construct $m<k$ with these conditions?

$\sum_i X_i^2$ has $\chi^2_{n}$ distribution and $X_i$ i.i.d. imply $X_i$ normal

Where is the flaw in this proof of Legendre's Conjecture?

A weaker conjecture than a known conjecture

Which numbers will iterate to others under the Collatz iteration?

The sum of all divisors of $N$ is a 2 potency iff $N$ is a product of different Mersenne primes

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

What proportion of the positive integers satisfies $\gcd(n^2,\sigma(n^2))>\sigma(n)$, where $\sigma$ is the sum-of-divisors function?

For all $n>1$ there are positive $a+b=n$ such that $a+ab+b\in\mathbb P$

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