Question

A math equation with finite terms that plots every real (x,y) point

score 78 · Answer 1 · 2026-04-13 03:56:10

78

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A math equation with finite terms that plots every real (x,y) point

Published on 13 Apr 2026 - 3:56

score 81 · Answer 2 · 2026-04-17 15:13:09

81

Views

Show that any prime divisor of $x^4+x^3+x^2+x+1$, with $x\in\mathbb{N}$, is $5$ or $1$ mod $5$

Published on 17 Apr 2026 - 15:13

score 96 · Answer 3 · 2026-05-15 07:37:42

96

Views

Iterated arithmetic derivative

Published on 15 May 2026 - 7:37

score 123 · Answer 4 · 2026-04-15 11:12:02

123

Views

$f^n+g^n=h^2\implies f,g,h$ all constant

Published on 15 Apr 2026 - 11:12

score 188 · Answer 5 · 2026-04-15 03:24:34

188

Views

Prove that $|p^2+2q^2-n|<\sqrt[4]{9n}$

Published on 15 Apr 2026 - 3:24

score 30 · Answer 6 · 2026-04-16 18:33:22

30

Views

Is there integer functions $f(n), g(n)$, such that $\lim_{n \to \infty} f(n)\zeta(2) + g(n) = 0$

Published on 16 Apr 2026 - 18:33

score 198 · Answer 7 · 2026-05-15 15:05:51

198

Views

Finding a formula for the number of $0$-$1$ sequences of length $n$ having a $0$ in any consecutive $m$ digits

Published on 15 May 2026 - 15:05

score 411 · Answer 8 · 2026-05-15 15:08:36

411

Views

How did Euler show that number is idoneal?

Published on 15 May 2026 - 15:08

score 254 · Answer 9 · 2026-05-11 00:48:22

254

Views

There exist infinitely many pairs of consecutive squares s.t. their sum is also a square

Published on 11 May 2026 - 0:48

score 280 · Answer 10 · 2026-05-10 13:48:51

280

Views

Show that $\mathscr{O}_{\mathbb{Q}(\sqrt{-7})}$ is a UFD

Published on 10 May 2026 - 13:48

score 1.5k · Answer 11 · 2026-05-10 20:14:20

1.5k

Views

Growth rate of a divisor function

Published on 10 May 2026 - 20:14

score 73 · Answer 12 · 2026-04-16 17:31:15

73

Views

$ \frac{m^a}{2} + \frac{m}{2}-1 $ is not prime, $m \geq 4$ even integer, $ a\in \mathbb{Z}, a \geq 2 $

Published on 16 Apr 2026 - 17:31

score 37 · Answer 13 · 2026-05-10 22:04:38

37

Views

How do I prove that $\mathcal{P}_d(\mathbb{Z})^+\neq\varnothing$ and that Pell's equation solutions are convergents

Published on 10 May 2026 - 22:04

score 225 · Answer 14 · 2026-05-14 15:04:43

225

Views

Is there a substitution which transforms every Fermat curve into an elliptic curve?

Published on 14 May 2026 - 15:04

score 248 · Answer 15 · 2026-04-17 04:22:44

248

Views

Number theory on square numbers

Published on 17 Apr 2026 - 4:22

List Question

A math equation with finite terms that plots every real (x,y) point

Show that any prime divisor of $x^4+x^3+x^2+x+1$, with $x\in\mathbb{N}$, is $5$ or $1$ mod $5$

Iterated arithmetic derivative

$f^n+g^n=h^2\implies f,g,h$ all constant

Prove that $|p^2+2q^2-n|<\sqrt[4]{9n}$

Is there integer functions $f(n), g(n)$, such that $\lim_{n \to \infty} f(n)\zeta(2) + g(n) = 0$

Finding a formula for the number of $0$-$1$ sequences of length $n$ having a $0$ in any consecutive $m$ digits

How did Euler show that number is idoneal?

There exist infinitely many pairs of consecutive squares s.t. their sum is also a square

Show that $\mathscr{O}_{\mathbb{Q}(\sqrt{-7})}$ is a UFD

Growth rate of a divisor function

$ \frac{m^a}{2} + \frac{m}{2}-1 $ is not prime, $m \geq 4$ even integer, $ a\in \mathbb{Z}, a \geq 2 $

How do I prove that $\mathcal{P}_d(\mathbb{Z})^+\neq\varnothing$ and that Pell's equation solutions are convergents

Is there a substitution which transforms every Fermat curve into an elliptic curve?

Number theory on square numbers

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