List questions from examples-counterexamples

Published on 09 Apr 2026 - 18:22

396

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Lucas polynomials and primality testing

Published on 13 Apr 2026 - 23:41

276

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Non uniformly integrable sequence

Published on 12 Apr 2026 - 9:35

1.7k

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$HK$ is not a subgroup, such that $H,K$ do not commute.

Published on 14 Apr 2026 - 9:51

82

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same cycle type but not conjugate

Published on 10 Apr 2026 - 11:12

289

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Primality test for numbers of the form $k \cdot b^m \pm 1$

Published on 16 Apr 2026 - 8:22

75

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Open subset of the large plane which isn't formed from Borel sets

Published on 12 Apr 2026 - 22:02

247

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Bounded variation along given sequence of subdivisions

Published on 12 Apr 2026 - 13:29

55

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Find an abelian group $V$ and a field $F$ such that $(V,F)$ can define two distinct vector spaces

Published on 14 Apr 2026 - 23:09

815

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Counterexample for Hilbert projection theorem with closed convex subset?

Published on 13 Apr 2026 - 2:47

283

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Finding counterexample for topology question (NBHM 2017)

Published on 11 Apr 2026 - 16:16

231

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A non-Boolean ring without unity with this property

Published on 09 Apr 2026 - 9:41

427

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Examples of entire functions $f(z)$ with the property $\lim\limits_{x\rightarrow \infty}|f(x+iy)|=\begin{cases} 0,& y\neq 0\\ M,& y=0 \end{cases}$

Published on 17 Apr 2026 - 1:25

515

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Examples of solving a problem by introducing new parameters

Published on 09 Apr 2026 - 16:07

408

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A congruence holding for primes $p \equiv 1,11 \pmod {12}$

Published on 15 Apr 2026 - 9:51

List Question

Any example of a connected space that is not locally connected?

Lucas polynomials and primality testing

Non uniformly integrable sequence

$HK$ is not a subgroup, such that $H,K$ do not commute.

same cycle type but not conjugate

Primality test for numbers of the form $k \cdot b^m \pm 1$

Open subset of the large plane which isn't formed from Borel sets

Bounded variation along given sequence of subdivisions

Find an abelian group $V$ and a field $F$ such that $(V,F)$ can define two distinct vector spaces

Counterexample for Hilbert projection theorem with closed convex subset?

Finding counterexample for topology question (NBHM 2017)

A non-Boolean ring without unity with this property

Examples of entire functions $f(z)$ with the property $\lim\limits_{x\rightarrow \infty}|f(x+iy)|=\begin{cases} 0,& y\neq 0\\ M,& y=0 \end{cases}$

Examples of solving a problem by introducing new parameters

A congruence holding for primes $p \equiv 1,11 \pmod {12}$

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