Question

find all $ 1\le a\le b \le 100$，s.t. $1+ab\mid1+a^4$

score 60 · Answer 1 · 2026-04-15 20:11:34

60

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find all $ 1\le a\le b \le 100$，s.t. $1+ab\mid1+a^4$

Published on 15 Apr 2026 - 20:11

score 1.1k · Answer 2 · 2026-04-08 21:30:27

1.1k

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What is geometric verification?

Published on 08 Apr 2026 - 21:30

score 55 · Answer 3 · 2026-04-15 01:33:15

55

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Prove (in)equivalency: (1) $\exists$ non-zero $z\in\mathbb{Z}/n\mathbb{Z}$ such that $z^{t}=0$ for some $t$, (2) $\exists$ prime $p$ such that $p^2|n$

Published on 15 Apr 2026 - 1:33

score 74 · Answer 4 · 2026-05-10 21:28:41

74

Views

Relationship between order of $(x,y)$ in $G \times G'$ and order of disjoint permutations, which both involve LCMs?

Published on 10 May 2026 - 21:28

score 245 · Answer 5 · 2026-05-10 12:34:43

245

Views

Find number of invertible elements in $\mathbb{Z}[i]/(220+55i)\mathbb{Z}[i]$

Published on 10 May 2026 - 12:34

score 34 · Answer 6 · 2026-04-14 21:18:35

34

Views

When does deleting the $n$-torsion elements make no difference?

Published on 14 Apr 2026 - 21:18

score 75 · Answer 7 · 2026-04-17 15:18:24

75

Views

$\forall p, b, c \in \mathbb{Z}^+, (\text{Prime}(p) \wedge p^2 + b^2 = c^2) \Rightarrow p^2 = c+b$

Published on 17 Apr 2026 - 15:18

score 759 · Answer 8 · 2026-05-10 19:40:53

759

Views

Is it true that there are infinitely many square numbers of the form $\lfloor n\sqrt{2}\rfloor$?

Published on 10 May 2026 - 19:40

score 180 · Answer 9 · 2026-04-09 07:33:37

180

Views

What is the definition of the least common multiple of elements of a group rather than their orders?

Published on 09 Apr 2026 - 7:33

score 79 · Answer 10 · 2026-04-13 18:23:07

79

Views

What can I say of x given these conditions?

Published on 13 Apr 2026 - 18:23

score 71 · Answer 11 · 2026-05-10 15:10:00

71

Views

Analytic continuation of a series raised to a power raised to a power?

Published on 10 May 2026 - 15:10

score 104 · Answer 12 · 2026-05-10 20:34:44

104

Views

infinite sum can't be natural

Published on 10 May 2026 - 20:34

score 116 · Answer 13 · 2026-04-16 11:32:45

116

Views

Modularity and the most general $(p, q, r)$ case in the BeChDaYa paper.

Published on 16 Apr 2026 - 11:32

score 355 · Answer 14 · 2026-04-30 23:59:34

355

Views

$m+n+p-1=2\sqrt{mnp}$ in positive integers

Published on 30 Apr 2026 - 23:59

score 126 · Answer 15 · 2026-04-14 13:34:47

126

Views

Three runners start at different speeds, two at 7:00am, one a 7:01am

Published on 14 Apr 2026 - 13:34

List Question

find all $ 1\le a\le b \le 100$，s.t. $1+ab\mid1+a^4$

What is geometric verification?

Prove (in)equivalency: (1) $\exists$ non-zero $z\in\mathbb{Z}/n\mathbb{Z}$ such that $z^{t}=0$ for some $t$, (2) $\exists$ prime $p$ such that $p^2|n$

Relationship between order of $(x,y)$ in $G \times G'$ and order of disjoint permutations, which both involve LCMs?

Find number of invertible elements in $\mathbb{Z}[i]/(220+55i)\mathbb{Z}[i]$

When does deleting the $n$-torsion elements make no difference?

$\forall p, b, c \in \mathbb{Z}^+, (\text{Prime}(p) \wedge p^2 + b^2 = c^2) \Rightarrow p^2 = c+b$

Is it true that there are infinitely many square numbers of the form $\lfloor n\sqrt{2}\rfloor$?

What is the definition of the least common multiple of elements of a group rather than their orders?

What can I say of x given these conditions?

Analytic continuation of a series raised to a power raised to a power?

infinite sum can't be natural

Modularity and the most general $(p, q, r)$ case in the BeChDaYa paper.

$m+n+p-1=2\sqrt{mnp}$ in positive integers

Three runners start at different speeds, two at 7:00am, one a 7:01am

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