Question

Reference request: Quotient of quadratic forms

score 50 · Answer 1 · 2026-03-30 08:55:17

50

Views

Reference request: Quotient of quadratic forms

Published on 30 Mar 2026 - 8:55

score 37 · Answer 2 · 2023-07-24 16:19:52

37

Views

a natural number m is obtained by rearranging the digits of another natural number n. Show that m − n must be divisible by 9.

Published on 24 Jul 2023 - 16:19

score 31 · Answer 3 · 2026-03-28 23:59:50

31

Views

Divisibility of a non invertible element in an integral domain

Published on 28 Mar 2026 - 23:59

score 57 · Answer 4 · 2023-07-26 19:01:04

57

Views

Suppose $k|n$ and $p^{k} \equiv 1 \pmod{2n}$. Does $n$ divide $p^{k-1} + \cdots + p + 1$?

Published on 26 Jul 2023 - 19:01

score 103 · Answer 5 · 2023-08-03 13:46:20

103

Views

Problem about square permutation

Published on 03 Aug 2023 - 13:46

score 515 · Answer 6 · 2026-03-31 07:48:46

515

Views

Formula for numbers divisible in an interval

Published on 31 Mar 2026 - 7:48

score 69 · Answer 7 · 2023-08-05 15:57:41

69

Views

The other rule of divisibility by $11$

Published on 05 Aug 2023 - 15:57

score 83 · Answer 8 · 2023-08-06 14:04:26

83

Views

When dividing binomial coefficients by $3$, why is remainder $1$ much more common than remainder $2$?

Published on 06 Aug 2023 - 14:04

score 91 · Answer 9 · 2023-08-07 11:54:09

91

Views

How many 8 digit Natural numbers are there whose digits are from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} which are divisible by 275?

Published on 07 Aug 2023 - 11:54

score 499 · Answer 10 · 2023-08-08 03:59:15

499

Views

Solution to IMO 2023 Problem 1

Published on 08 Aug 2023 - 3:59

score 102 · Answer 11 · 2026-04-01 12:51:31

102

Views

Answer without using mod Let $\frac{a}{b}=1+\frac{1}{2}+... +\frac{1}{p-2}$. Show that $a-b$ is divisible by $p$.

Published on 01 Apr 2026 - 12:51

score 161 · Answer 12 · 2023-08-14 10:00:29

161

Views

Prime numbers $p$ and $q$ such that $pq\mid2^{pq}-2$

Published on 14 Aug 2023 - 10:00

score 46 · Answer 13 · 2023-08-19 10:03:51

46

Views

On the notation for doesn't divide

Published on 19 Aug 2023 - 10:03

score 165 · Answer 14 · 2026-04-02 03:36:37

165

Views

Lower bound for greatest LCM

Published on 02 Apr 2026 - 3:36

score 127 · Answer 15 · 2026-04-02 03:17:08

127

Views

Show that there are infinitely many $a\in\mathbb{N}$ such that $a!+(a+2)!$ divides $(a+2\lfloor{\sqrt{a}}\rfloor)!$.

Published on 02 Apr 2026 - 3:17

List Question

Reference request: Quotient of quadratic forms

a natural number m is obtained by rearranging the digits of another natural number n. Show that m − n must be divisible by 9.

Divisibility of a non invertible element in an integral domain

Suppose $k|n$ and $p^{k} \equiv 1 \pmod{2n}$. Does $n$ divide $p^{k-1} + \cdots + p + 1$?

Problem about square permutation

Formula for numbers divisible in an interval

The other rule of divisibility by $11$

When dividing binomial coefficients by $3$, why is remainder $1$ much more common than remainder $2$?

How many 8 digit Natural numbers are there whose digits are from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} which are divisible by 275?

Solution to IMO 2023 Problem 1

Answer without using mod Let $\frac{a}{b}=1+\frac{1}{2}+... +\frac{1}{p-2}$. Show that $a-b$ is divisible by $p$.

Prime numbers $p$ and $q$ such that $pq\mid2^{pq}-2$

On the notation for doesn't divide

Lower bound for greatest LCM

Show that there are infinitely many $a\in\mathbb{N}$ such that $a!+(a+2)!$ divides $(a+2\lfloor{\sqrt{a}}\rfloor)!$.

Trending Questions

Popular # Hahtags

Popular Questions