Question

How to check if permutation induces an element of the Galois group.

score 49 · Answer 1 · 2026-04-11 03:35:49

49

Views

How to check if permutation induces an element of the Galois group.

Published on 11 Apr 2026 - 3:35

score 84 · Answer 2 · 2026-04-17 07:48:05

84

Views

Proving that $p ^ {p + 2} + (p + 2)^{p} \equiv 0\pmod{2p + 2}$ for a prime $p>2$

Published on 17 Apr 2026 - 7:48

score 346 · Answer 3 · 2026-04-13 16:34:52

346

Views

On Harmonic numbers at half-integer values

Published on 13 Apr 2026 - 16:34

score 120 · Answer 4 · 2026-04-16 02:46:10

120

Views

Understanding Exercise 3.12 in Cox "Primes of the form $x^2+ny^2$"

Published on 16 Apr 2026 - 2:46

score 80 · Answer 5 · 2026-05-13 11:45:14

80

Views

On a $\mathbb C$-linear map from $M(p-1,\mathbb C)$ to $\mathbb C^\hat G$, where $p$ is an odd prime and $G=\mathbb Z/(p) ^\times$

Published on 13 May 2026 - 11:45

score 202 · Answer 6 · 2026-05-11 09:32:19

202

Views

Find all values of $n$ such that $\varphi(n) = n/6$.

Published on 11 May 2026 - 9:32

score 127 · Answer 7 · 2026-04-15 18:23:28

127

Views

Determine whether the following quadratic forms are isotropic over $\mathbb{Q}$.

Published on 15 Apr 2026 - 18:23

score 75 · Answer 8 · 2026-04-17 13:13:57

75

Views

How to find/construct functions $f(n)$ and $g(n)$ such that $\lim_{n\to \infty} f(n)e + g(n) = 0\:?$

Published on 17 Apr 2026 - 13:13

score 710 · Answer 9 · 2026-05-10 14:55:27

710

Views

A question about a primitive root mod $p=2^{2^k}+1$, where $p$ is prime.

Published on 10 May 2026 - 14:55

score 340 · Answer 10 · 2026-04-16 20:53:18

340

Views

prove there exist postive integers $a,b$ such $p^2|a^2+ab+b^2$

Published on 16 Apr 2026 - 20:53

score 106 · Answer 11 · 2026-04-16 03:32:39

106

Views

Find integer solutions to the equation $2^x+3^y=z^2$

Published on 16 Apr 2026 - 3:32

score 120 · Answer 12 · 2026-05-16 00:04:48

120

Views

Is it true for any $n=2p$ where $p$ is prime, that the number of twin primes less than $n$ approaches the number of prime pairs?

Published on 16 May 2026 - 0:04

score 257 · Answer 13 · 2026-04-10 13:59:42

257

Views

Is there a term for numbers whose sum of prime factors are "amicable"

Published on 10 Apr 2026 - 13:59

score 230 · Answer 14 · 2026-05-15 13:01:19

230

Views

Find all positive integer $m$ such $2^{m}+1\mid5^m-1$

Published on 15 May 2026 - 13:01

score 113 · Answer 15 · 2026-04-17 07:08:50

113

Views

What is the general solution of $x+y+z \mid xyz$?

Published on 17 Apr 2026 - 7:08

List Question

How to check if permutation induces an element of the Galois group.

Proving that $p ^ {p + 2} + (p + 2)^{p} \equiv 0\pmod{2p + 2}$ for a prime $p>2$

On Harmonic numbers at half-integer values

Understanding Exercise 3.12 in Cox "Primes of the form $x^2+ny^2$"

On a $\mathbb C$-linear map from $M(p-1,\mathbb C)$ to $\mathbb C^\hat G$, where $p$ is an odd prime and $G=\mathbb Z/(p) ^\times$

Find all values of $n$ such that $\varphi(n) = n/6$.

Determine whether the following quadratic forms are isotropic over $\mathbb{Q}$.

How to find/construct functions $f(n)$ and $g(n)$ such that $\lim_{n\to \infty} f(n)e + g(n) = 0\:?$

A question about a primitive root mod $p=2^{2^k}+1$, where $p$ is prime.

prove there exist postive integers $a,b$ such $p^2|a^2+ab+b^2$

Find integer solutions to the equation $2^x+3^y=z^2$

Is it true for any $n=2p$ where $p$ is prime, that the number of twin primes less than $n$ approaches the number of prime pairs?

Is there a term for numbers whose sum of prime factors are "amicable"

Find all positive integer $m$ such $2^{m}+1\mid5^m-1$

What is the general solution of $x+y+z \mid xyz$?

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