Question

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

score 1.8k · Answer 1 · 2026-03-22 03:10:49

1.8k

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

Published on 22 Mar 2026 - 3:10

score 236 · Answer 2 · 2018-01-22 00:14:51

236

Views

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

Published on 22 Jan 2018 - 0:14

score 1.8k · Answer 3 · 2018-01-22 00:33:55

1.8k

Views

A nilpotent matrix A implies AB is nilpotent?

Published on 22 Jan 2018 - 0:33

score 300 · Answer 4 · 2018-01-22 01:15:25

300

Views

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

Published on 22 Jan 2018 - 1:15

score 3.4k · Answer 5 · 2026-03-22 00:04:24

3.4k

Views

Proving Row-Equivalence

Published on 22 Mar 2026 - 0:04

score 453 · Answer 6 · 2026-03-17 12:03:23

453

Views

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

Published on 17 Mar 2026 - 12:03

score 95 · Answer 7 · 2026-03-25 01:18:12

95

Views

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

Published on 25 Mar 2026 - 1:18

score 2.7k · Answer 8 · 2026-03-22 12:14:54

2.7k

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

Published on 22 Mar 2026 - 12:14

score 758 · Answer 9 · 2026-03-20 06:49:59

758

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 20 Mar 2026 - 6:49

score 542 · Answer 10 · 2026-03-17 18:11:37

542

Views

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

Published on 17 Mar 2026 - 18:11

score 77 · Answer 11 · 2018-01-22 08:59:48

77

Views

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

Published on 22 Jan 2018 - 8:59

score 958 · Answer 12 · 2018-01-22 13:43:26

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 348 · Answer 13 · 2026-03-24 23:48:15

348

Views

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

Published on 24 Mar 2026 - 23:48

score 85 · Answer 14 · 2026-03-24 21:12:22

85

Views

Prove an inequality with sizable exponents

Published on 24 Mar 2026 - 21:12

score 69 · Answer 15 · 2018-01-22 16:59:59

69

Views

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

Published on 22 Jan 2018 - 16:59

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.

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