Question

Proof verification: $\gcd(a,n)=1$ iff $ab\equiv 1\pmod{n}$ for some integer $b$.

score 1.9k · Answer 1 · 2026-05-05 18:19:53

1.9k

Views

Proof verification: $\gcd(a,n)=1$ iff $ab\equiv 1\pmod{n}$ for some integer $b$.

Published on 05 May 2026 - 18:19

score 239 · Answer 2 · 2026-04-14 04:35:05

239

Views

Proof verification: If $a, b \in \mathbb{Z}$, then $a^2 - 4b - 3 \neq 0$

Published on 14 Apr 2026 - 4:35

score 1.8k · Answer 3 · 2026-04-09 21:29:30

1.8k

Views

A nilpotent matrix A implies AB is nilpotent?

Published on 09 Apr 2026 - 21:29

score 305 · Answer 4 · 2026-05-10 13:49:31

305

Views

Wrong proof: If $0$ is the only eigenvalue of a linear operator, is the operator nilpotent

Published on 10 May 2026 - 13:49

score 3.4k · Answer 5 · 2026-04-15 08:49:58

3.4k

Views

Proving Row-Equivalence

Published on 15 Apr 2026 - 8:49

score 464 · Answer 6 · 2026-05-05 10:00:23

464

Views

How to prove that Φ² (golden ratio squared) is an algebraic number?

Published on 05 May 2026 - 10:00

score 98 · Answer 7 · 2026-05-10 17:16:43

98

Views

Proof verification: Let $p\geq 2$. If $2^{p}-1$ is prime, then $p$ must also be prime.

Published on 10 May 2026 - 17:16

score 2.7k · Answer 8 · 2026-05-10 08:07:31

2.7k

Views

Proof verification: Let $gcd(x,y)=1$. If $xy$ is a perfect square, then $x$ and $y$ are perfect squares.

Published on 10 May 2026 - 8:07

score 766 · Answer 9 · 2026-05-10 11:21:53

766

Views

Proof verification: Let $a,b\in \mathbb{Z}_{0}$. If there exists integers $r$ and $s$ such that $ar+bs=1$, show that $gcd(a,b)=1$.

Published on 10 May 2026 - 11:21

score 549 · Answer 10 · 2026-05-10 11:20:39

549

Views

Is my proof that finite fields have order $p^n$ valid?

Published on 10 May 2026 - 11:20

score 80 · Answer 11 · 2026-04-09 14:44:02

80

Views

How do I show that $F(h) = h \circ h$ is surjective?

Published on 09 Apr 2026 - 14:44

score 961 · Answer 12 · 2026-04-15 09:40:15

Help in showing that the estimator $\hat{\sigma}^2= \frac{1}{n}\sum_{i=1}^n (X_i - \overline{X})^2$ is a biased estimator of $\sigma$.

score 351 · Answer 13 · 2026-05-10 12:34:27

351

Views

Simplify the expression: $a^{\log {\sqrt \frac bc}}×b^{\log {\sqrt \frac ca}}×c^{\log {\sqrt \frac ab}}$

Published on 10 May 2026 - 12:34

score 92 · Answer 14 · 2026-04-29 12:44:16

92

Views

Prove an inequality with sizable exponents

Published on 29 Apr 2026 - 12:44

score 72 · Answer 15 · 2026-04-16 04:53:12

72

Views

Given $3$ non co-linear points in a plane there are at least $3$ lines.

Published on 16 Apr 2026 - 4:53

List Question

Proof verification: $\gcd(a,n)=1$ iff $ab\equiv 1\pmod{n}$ for some integer $b$.

Proof verification: If $a, b \in \mathbb{Z}$, then $a^2 - 4b - 3 \neq 0$

A nilpotent matrix A implies AB is nilpotent?

Wrong proof: If $0$ is the only eigenvalue of a linear operator, is the operator nilpotent

Proving Row-Equivalence

How to prove that Φ² (golden ratio squared) is an algebraic number?

Proof verification: Let $p\geq 2$. If $2^{p}-1$ is prime, then $p$ must also be prime.

Proof verification: Let $gcd(x,y)=1$. If $xy$ is a perfect square, then $x$ and $y$ are perfect squares.

Proof verification: Let $a,b\in \mathbb{Z}_{0}$. If there exists integers $r$ and $s$ such that $ar+bs=1$, show that $gcd(a,b)=1$.

Is my proof that finite fields have order $p^n$ valid?

How do I show that $F(h) = h \circ h$ is surjective?

Help in showing that the estimator $\hat{\sigma}^2= \frac{1}{n}\sum_{i=1}^n (X_i - \overline{X})^2$ is a biased estimator of $\sigma$.

Simplify the expression: $a^{\log {\sqrt \frac bc}}×b^{\log {\sqrt \frac ca}}×c^{\log {\sqrt \frac ab}}$

Prove an inequality with sizable exponents

Given $3$ non co-linear points in a plane there are at least $3$ lines.

Trending Questions

Popular # Hahtags

Popular Questions