Question

Show that $3281$ is a strong pseudoprime to base $3$

score 179 · Answer 1 · 2026-04-22 16:55:39

179

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Show that $3281$ is a strong pseudoprime to base $3$

Published on 22 Apr 2026 - 16:55

score 56 · Answer 2 · 2026-04-20 03:58:49

56

Views

Prove $n\geq 3$ is prime or that the largest non-trivial factor of $n$ is at least $3\sqrt{n}$

Published on 20 Apr 2026 - 3:58

score 63 · Answer 3 · 2026-04-23 03:01:37

63

Views

Find $x, y\in\mathbb Z$ such that $\frac{x}{2} + \frac{x}{y} - \frac{3}{2} = \frac{10}{y}$

Published on 23 Apr 2026 - 3:01

score 96 · Answer 4 · 2026-04-10 18:46:05

96

Views

Confusion about number theory topics

Published on 10 Apr 2026 - 18:46

score 102 · Answer 5 · 2026-04-09 14:21:35

102

Views

What are the Dirichlet transforms of $\Lambda(n+1)$ and $\frac{\Lambda(n+1)}{\log(n+1)}$?

Published on 09 Apr 2026 - 14:21

score 43 · Answer 6 · 2026-04-15 07:24:24

43

Views

Why do $r \mid (p-1)$ and $p \mid (r^3-1)$ imply $p \mid (r^2+r+1)$ for primes $p, r$?

Published on 15 Apr 2026 - 7:24

score 195 · Answer 7 · 2026-04-23 01:47:07

195

Views

Use quadratic reciprocity to decide whether the following congruences are solvable

Published on 23 Apr 2026 - 1:47

score 263 · Answer 8 · 2026-04-23 03:02:57

Let $p$ be a prime and $a,b,c$ be integers. Prove that if $ab, ac, bc, abc$ are all quadratic residues $\mod {p}$ then so are $a, b$ and $c$.

score 157 · Answer 9 · 2026-04-15 08:28:15

157

Views

Integer solutions to diophantine equation $x^4+4x^3y-6x^2y^2-4xy^3+y^4=1$

Published on 15 Apr 2026 - 8:28

score 117 · Answer 10 · 2026-03-25 06:21:04

117

Views

Do you know a generalization of a formula about cyclotomic polynomial?

Published on 25 Mar 2026 - 6:21

score 45 · Answer 11 · 2026-04-23 03:02:57

Evaluate $\sum_x\big(\frac{x}{p}\big), \sum_x\big(\frac{x+k}{p}\big), \sum_x\big(\frac{ax+b}{p}\big)$ where $p$ is prime and the rests are integers.

score 54 · Answer 12 · 2026-04-13 23:35:34

54

Views

Confirmation of Proof: For some $v\in\mathbb{Z}$, $12v^2 - 4v + 3$ is never a square.

Published on 13 Apr 2026 - 23:35

score 66 · Answer 13 · 2026-04-17 17:57:33

66

Views

Endomorphism of frobenius scheme

Published on 17 Apr 2026 - 17:57

score 146 · Answer 14 · 2026-04-15 22:25:21

146

Views

Find all positive integer $a,b$, such that $[a,b+2017]=[a+2017,b]$.

Published on 15 Apr 2026 - 22:25

score 651 · Answer 15 · 2026-04-11 10:50:20

651

Views

is nested log function strongly convex?

Published on 11 Apr 2026 - 10:50

List Question

Show that $3281$ is a strong pseudoprime to base $3$

Prove $n\geq 3$ is prime or that the largest non-trivial factor of $n$ is at least $3\sqrt{n}$

Find $x, y\in\mathbb Z$ such that $\frac{x}{2} + \frac{x}{y} - \frac{3}{2} = \frac{10}{y}$

Confusion about number theory topics

What are the Dirichlet transforms of $\Lambda(n+1)$ and $\frac{\Lambda(n+1)}{\log(n+1)}$?

Why do $r \mid (p-1)$ and $p \mid (r^3-1)$ imply $p \mid (r^2+r+1)$ for primes $p, r$?

Use quadratic reciprocity to decide whether the following congruences are solvable

Let $p$ be a prime and $a,b,c$ be integers. Prove that if $ab, ac, bc, abc$ are all quadratic residues $\mod {p}$ then so are $a, b$ and $c$.

Integer solutions to diophantine equation $x^4+4x^3y-6x^2y^2-4xy^3+y^4=1$

Do you know a generalization of a formula about cyclotomic polynomial?

Evaluate $\sum_x\big(\frac{x}{p}\big), \sum_x\big(\frac{x+k}{p}\big), \sum_x\big(\frac{ax+b}{p}\big)$ where $p$ is prime and the rests are integers.

Confirmation of Proof: For some $v\in\mathbb{Z}$, $12v^2 - 4v + 3$ is never a square.

Endomorphism of frobenius scheme

Find all positive integer $a,b$, such that $[a,b+2017]=[a+2017,b]$.

is nested log function strongly convex?

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