Question

factors of a number

score 38 · Answer 1 · 2026-04-10 23:10:55

38

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factors of a number

Published on 10 Apr 2026 - 23:10

score 933 · Answer 2 · 2026-04-16 11:47:29

933

Views

Specific $u,v,m,n \in \mathbb{N}$, for which there exists $L \in \mathbb{N}$ such that $\gcd(u+Lm,v+Ln)=1$?

Published on 16 Apr 2026 - 11:47

score 1.6k · Answer 3 · 2026-04-14 08:57:09

1.6k

Views

Prove or show a counter example for: $\forall a, b, c \in \mathbb Z$, if $ab\mid c$ then $a\mid c$ and $b\mid c$

Published on 14 Apr 2026 - 8:57

score 324 · Answer 4 · 2026-04-13 08:48:41

324

Views

Number as the sum of digits of some degree

Published on 13 Apr 2026 - 8:48

score 86 · Answer 5 · 2026-04-13 13:14:20

86

Views

Proof by induction $3^{2n}-2^n$ is multiply of 7

Published on 13 Apr 2026 - 13:14

score 219 · Answer 6 · 2026-04-16 10:31:46

219

Views

On $\text{Lower bound}\leq \operatorname{rad}(n)$, where $n$ is an odd perfect number: reference request or what work can be done about it

Published on 16 Apr 2026 - 10:31

score 327 · Answer 7 · 2026-04-17 04:21:41

327

Views

Can $n+1$ , $2n+1$ , $3n+1$ all be perfect squares , if $n$ is a positive integer?

Published on 17 Apr 2026 - 4:21

score 106 · Answer 8 · 2026-04-16 21:49:09

106

Views

An upper bound on the GCD of certain numbers derived from cyclic permutations of binary strings.

Published on 16 Apr 2026 - 21:49

score 520 · Answer 9 · 2026-04-13 06:14:44

520

Views

The sum of two positive integers is $2310$ and $11$ is their g.c.d. How many pairs of such numbers are possible?

Published on 13 Apr 2026 - 6:14

score 326 · Answer 10 · 2026-04-11 04:40:38

326

Views

Can product of distinct $\frac{3m+2}{2m+1}$ be an integer?

Published on 11 Apr 2026 - 4:40

score 119 · Answer 11 · 2026-04-23 16:24:19

119

Views

Is there a lower bound for $\operatorname{rad}(n)$ in terms of $n \in \mathbb{N}$?

Published on 23 Apr 2026 - 16:24

score 744 · Answer 12 · 2026-04-15 06:59:34

744

Views

$1^n-3^n-6^n+8^n$ is divisible by $10$

Published on 15 Apr 2026 - 6:59

score 690 · Answer 13 · 2026-04-11 15:24:15

690

Views

A conjecture regarding odd perfect numbers

Published on 11 Apr 2026 - 15:24

score 775 · Answer 14 · 2026-04-09 22:57:18

775

Views

Classification of the positive integers not being the sum of four non-zero squares

Published on 09 Apr 2026 - 22:57

score 1.6k · Answer 15 · 2026-04-14 19:55:16

1.6k

Views

$a,b,c,d$ are positive integers such that $ad=bc$. Prove that $n=a+b+c+d$ cannot be prime

Published on 14 Apr 2026 - 19:55

List Question

factors of a number

Specific $u,v,m,n \in \mathbb{N}$, for which there exists $L \in \mathbb{N}$ such that $\gcd(u+Lm,v+Ln)=1$?

Prove or show a counter example for: $\forall a, b, c \in \mathbb Z$, if $ab\mid c$ then $a\mid c$ and $b\mid c$

Number as the sum of digits of some degree

Proof by induction $3^{2n}-2^n$ is multiply of 7

On $\text{Lower bound}\leq \operatorname{rad}(n)$, where $n$ is an odd perfect number: reference request or what work can be done about it

Can $n+1$ , $2n+1$ , $3n+1$ all be perfect squares , if $n$ is a positive integer?

An upper bound on the GCD of certain numbers derived from cyclic permutations of binary strings.

The sum of two positive integers is $2310$ and $11$ is their g.c.d. How many pairs of such numbers are possible?

Can product of distinct $\frac{3m+2}{2m+1}$ be an integer?

Is there a lower bound for $\operatorname{rad}(n)$ in terms of $n \in \mathbb{N}$?

$1^n-3^n-6^n+8^n$ is divisible by $10$

A conjecture regarding odd perfect numbers

Classification of the positive integers not being the sum of four non-zero squares

$a,b,c,d$ are positive integers such that $ad=bc$. Prove that $n=a+b+c+d$ cannot be prime

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