Question

$p$ is an odd prime less than $m$ and $a\in \mathbb Z$ then $p|a^m-1$ implies $p|m$

score 60 · Answer 1 · 2026-03-26 11:18:36

60

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$p$ is an odd prime less than $m$ and $a\in \mathbb Z$ then $p|a^m-1$ implies $p|m$

Published on 26 Mar 2026 - 11:18

score 163 · Answer 2 · 2026-03-29 20:42:39

163

Views

Monoidal category: Inequivalent associators

Published on 29 Mar 2026 - 20:42

score 343 · Answer 3 · 2026-03-27 22:03:42

343

Views

How to find counterexamples, linear algebra prove/disprove

Published on 27 Mar 2026 - 22:03

score 207 · Answer 4 · 2026-03-28 10:25:52

207

Views

Example for Sequentially Compact space which is not Compact not involving ordinals?

Published on 28 Mar 2026 - 10:25

score 44 · Answer 5 · 2026-03-28 01:48:20

44

Views

What is an example of a localization of a non-simple, nilpotent space?

Published on 28 Mar 2026 - 1:48

score 325 · Answer 6 · 2026-03-27 23:48:43

325

Views

Example of a cocommutative, non-unimodular Hopf algebra?

Published on 27 Mar 2026 - 23:48

score 138 · Answer 7 · 2026-04-03 16:58:18

138

Views

If $f:X\to Y$ is continuous and $X$ is a totally bounded metric space, is $f(X)$ also bounded?

Published on 03 Apr 2026 - 16:58

score 4k · Answer 8 · 2016-07-07 23:21:17

4k

Views

How are proofs formatted when the answer is a counterexample?

Published on 07 Jul 2016 - 23:21

score 98 · Answer 9 · 2016-07-12 12:45:28

98

Views

Examples of $R$-modules $X$ such that $(X \setminus TX) \cup \{0\}$ isn't a submodule.

Published on 12 Jul 2016 - 12:45

score 239 · Answer 10 · 2016-07-16 18:40:59

239

Views

What is an example of lower semicontinuous functions not satisfying this?

Published on 16 Jul 2016 - 18:40

score 1.1k · Answer 11 · 2016-07-17 18:00:42

1.1k

Views

Formal definition of “counterexample”.

Published on 17 Jul 2016 - 18:00

score 144 · Answer 12 · 2026-03-25 20:15:26

144

Views

Useful analogy to interpret the notion of evolutionary stable strategy (ESS)

Published on 25 Mar 2026 - 20:15

score 195 · Answer 13 · 2016-07-19 23:58:15

195

Views

If $f$ is defined on $\mathbb{R}$ and $f$ is unbounded, is it necessarily true that $\lim_{|x|\to\infty} |f(x)| = \infty$?

Published on 19 Jul 2016 - 23:58

score 95 · Answer 14 · 2016-07-20 13:23:05

95

Views

If 2 loops with equal base points are homotopic, must they be homotopic relative to the base point?

Published on 20 Jul 2016 - 13:23

score 541 · Answer 15 · 2016-07-20 14:40:42

541

Views

What is a measurable set $E \subset [0, 1]$ such that the closure of $E$ is $[0, 1]$ and $m(E) = \epsilon$?

Published on 20 Jul 2016 - 14:40

List Question

$p$ is an odd prime less than $m$ and $a\in \mathbb Z$ then $p|a^m-1$ implies $p|m$

Monoidal category: Inequivalent associators

How to find counterexamples, linear algebra prove/disprove

Example for Sequentially Compact space which is not Compact not involving ordinals?

What is an example of a localization of a non-simple, nilpotent space?

Example of a cocommutative, non-unimodular Hopf algebra?

If $f:X\to Y$ is continuous and $X$ is a totally bounded metric space, is $f(X)$ also bounded?

How are proofs formatted when the answer is a counterexample?

Examples of $R$-modules $X$ such that $(X \setminus TX) \cup \{0\}$ isn't a submodule.

What is an example of lower semicontinuous functions not satisfying this?

Formal definition of “counterexample”.

Useful analogy to interpret the notion of evolutionary stable strategy (ESS)

If $f$ is defined on $\mathbb{R}$ and $f$ is unbounded, is it necessarily true that $\lim_{|x|\to\infty} |f(x)| = \infty$?

If 2 loops with equal base points are homotopic, must they be homotopic relative to the base point?

What is a measurable set $E \subset [0, 1]$ such that the closure of $E$ is $[0, 1]$ and $m(E) = \epsilon$?

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