Question

Find the smallest prime number $p$ such that $p\, | \,n^2-n-2023$ for some integer $n$.

score 1.2k · Answer 1 · 2026-04-15 19:01:36

1.2k

Views

Find the smallest prime number $p$ such that $p\, | \,n^2-n-2023$ for some integer $n$.

Published on 15 Apr 2026 - 19:01

score 65 · Answer 2 · 2026-04-15 22:08:38

65

Views

How many integers of $ m $ digits are equal to the sum of the $ m $ -th powers of their digits in the interval $[1, ..., 10 ^ 7]$?

Published on 15 Apr 2026 - 22:08

score 153 · Answer 3 · 2026-04-16 12:21:54

153

Views

For a strong prime $p = kq+1$, $\langle g^k \rangle \le \mathbb{QR}_p$

Published on 16 Apr 2026 - 12:21

score 83 · Answer 4 · 2026-04-12 14:05:44

83

Views

A crazy number theoretic problem

Published on 12 Apr 2026 - 14:05

score 132 · Answer 5 · 2026-03-26 16:06:49

132

Views

Certain Galois cohomology computation

Published on 26 Mar 2026 - 16:06

score 1k · Answer 6 · 2026-04-16 04:56:29

1k

Views

Quadratic congruence modulo composite number

Published on 16 Apr 2026 - 4:56

score 108 · Answer 7 · 2026-04-16 22:21:19

108

Views

Index of the congruence subgroups of $PGL_2(\mathbb{Z}_p)$.

Published on 16 Apr 2026 - 22:21

score 249 · Answer 8 · 2026-05-10 17:16:19

249

Views

Property of smooth functions on the adeles

Published on 10 May 2026 - 17:16

score 156 · Answer 9 · 2026-04-13 16:35:16

156

Views

How to prove $2^{m-1}-1 \over 127m$ is integer

Published on 13 Apr 2026 - 16:35

score 110 · Answer 10 · 2026-05-15 00:42:16

110

Views

Proof that the nth root of a rational s/t is irrational unless s and t are perfect nth powers with gcd(s,t)=1

Published on 15 May 2026 - 0:42

score 514 · Answer 11 · 2026-05-16 07:16:54

514

Views

When does the first repetition in $\;\lfloor x\rfloor, \lfloor x/2 \rfloor, \lfloor x/3\rfloor, \lfloor x/4\rfloor, \dots\;$ appear?

Published on 16 May 2026 - 7:16

score 44 · Answer 12 · 2026-04-17 09:42:56

44

Views

$D := (-1)^{\frac{m-1}{2}}n$ and $N := (-1)^{\frac{n-1}{2}}n$. Show that $N = D$.

Published on 17 Apr 2026 - 9:42

score 191 · Answer 13 · 2026-04-08 18:26:27

191

Views

How to compute this combinatoric sum?

Published on 08 Apr 2026 - 18:26

score 174 · Answer 14 · 2026-05-12 00:32:10

174

Views

How to prove the integrality of this Eisenstein Series?

Published on 12 May 2026 - 0:32

score 85 · Answer 15 · 2026-04-11 07:20:00

85

Views

Interesting "Eulerian" irrational points

Published on 11 Apr 2026 - 7:20

List Question

Find the smallest prime number $p$ such that $p\, | \,n^2-n-2023$ for some integer $n$.

How many integers of $ m $ digits are equal to the sum of the $ m $ -th powers of their digits in the interval $[1, ..., 10 ^ 7]$?

For a strong prime $p = kq+1$, $\langle g^k \rangle \le \mathbb{QR}_p$

A crazy number theoretic problem

Certain Galois cohomology computation

Quadratic congruence modulo composite number

Index of the congruence subgroups of $PGL_2(\mathbb{Z}_p)$.

Property of smooth functions on the adeles

How to prove $2^{m-1}-1 \over 127m$ is integer

Proof that the nth root of a rational s/t is irrational unless s and t are perfect nth powers with gcd(s,t)=1

When does the first repetition in $\;\lfloor x\rfloor, \lfloor x/2 \rfloor, \lfloor x/3\rfloor, \lfloor x/4\rfloor, \dots\;$ appear?

$D := (-1)^{\frac{m-1}{2}}n$ and $N := (-1)^{\frac{n-1}{2}}n$. Show that $N = D$.

How to compute this combinatoric sum?

How to prove the integrality of this Eisenstein Series?

Interesting "Eulerian" irrational points

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