User JoshuaZ

26 votes

1 answer

1k views

Is every polynomial of the form $2x^{2n} -x^n +1$ irreducible over $\mathbb{Z}$?

asked Feb 15 at 18:59

20 votes

3 answers

1k views

The Angel and Devil problem with a random angel

asked Apr 13, 2020 at 15:36

13 votes

1 answer

531 views

A randomized version of straight-edge and compass construction

asked Oct 16, 2021 at 19:27

9 votes

1 answer

205 views

Reaching real numbers from other real numbers by changing a small number of digits in the base b expansion

asked Mar 15, 2021 at 19:09

9 votes

0 answers

564 views

Iterating Diophantine equations over Q to quickly get a large interval with just integer solutions

asked Jun 12, 2021 at 20:26

8 votes

0 answers

530 views

Winning moves in Hex

asked Apr 9, 2021 at 16:40

7 votes

0 answers

216 views

Can we make a hierarchy of complex numbers by repeatedly iterating the construction that produces periods?

asked Nov 26, 2022 at 16:06

7 votes

1 answer

881 views

A family of Diophantine equations with no integer solutions but solutions modulo every integer

asked Aug 1, 2021 at 16:49

7 votes

0 answers

153 views

Recovering basic information about perfect numbers from a Dirichlet series

asked Aug 23, 2021 at 13:31

7 votes

2 answers

476 views

Asymptotics of $\operatorname{lcm} ((2-1), (3-1), (5-1), (7-1), (11-1), \dotsc, p_n-1 )$

asked Sep 16, 2021 at 21:09

7 votes

1 answer

599 views

Systems intermediate in strengthen between Robinson arithmetic and PA

asked Dec 12, 2022 at 12:11

6 votes

0 answers

212 views

Is there any minimal covering number other than 12 that is primitive abundant?

asked Sep 30, 2019 at 22:26

6 votes

1 answer

279 views

A variant of the Busy Beaver function

asked Sep 17, 2022 at 15:21

5 votes

1 answer

345 views

Quadratic Diophantine equations with all values prime

asked Feb 7, 2021 at 17:41

5 votes

1 answer

260 views

Is a weak version of the three sets Lemma provable in ZF?

asked Jun 7 at 20:39

5 votes

1 answer

387 views

Are directed graphs with out-degree exactly 2 strongly connected with probability 1?

asked Jul 4 at 11:51

4 votes

0 answers

241 views

An inequality involving a polynomial and its first and second derivative

asked Mar 8, 2021 at 22:00

4 votes

2 answers

363 views

A specific Diophantine equation restricted to prime values of variables.

asked Aug 13, 2018 at 17:20

4 votes

1 answer

245 views

Ruling out an extremely specific class of Wieferich-like primes

asked Oct 15, 2021 at 15:43

4 votes

1 answer

263 views

Divisibility relation with a specific sum of divisors

asked Nov 27, 2022 at 3:07

2 votes

2 answers

202 views

Additive basis of a set union the square of the set

asked Sep 23, 2022 at 23:52

2 votes

0 answers

80 views

Set of integer non-negative matrices with positive diagonals

asked Nov 6, 2021 at 0:16

2 votes

0 answers

116 views

Intuition behind eigenvalues of a graph mattering

asked Nov 16, 2021 at 15:06

1 vote

0 answers

69 views

Shapiro inequality for divisor sets

asked Oct 24, 2022 at 15:42

1 vote

0 answers

50 views

Classes of functions which are not almost divisible by a part of the Euler phi function

asked Nov 30, 2022 at 21:23

1 vote

0 answers

48 views

Edge contractions of a graph but only along maximum cliques

asked Jul 23, 2023 at 15:54

Stack Exchange Network

26 Questions

Is every polynomial of the form $2x^{2n} -x^n +1$ irreducible over $\mathbb{Z}$?

The Angel and Devil problem with a random angel

A randomized version of straight-edge and compass construction

Reaching real numbers from other real numbers by changing a small number of digits in the base b expansion

Iterating Diophantine equations over Q to quickly get a large interval with just integer solutions

Winning moves in Hex

Can we make a hierarchy of complex numbers by repeatedly iterating the construction that produces periods?

A family of Diophantine equations with no integer solutions but solutions modulo every integer

Recovering basic information about perfect numbers from a Dirichlet series

Asymptotics of $\operatorname{lcm} ((2-1), (3-1), (5-1), (7-1), (11-1), \dotsc, p_n-1 )$

Systems intermediate in strengthen between Robinson arithmetic and PA

Is there any minimal covering number other than 12 that is primitive abundant?

A variant of the Busy Beaver function

Quadratic Diophantine equations with all values prime

Is a weak version of the three sets Lemma provable in ZF?

Are directed graphs with out-degree exactly 2 strongly connected with probability 1?

An inequality involving a polynomial and its first and second derivative

A specific Diophantine equation restricted to prime values of variables.

Ruling out an extremely specific class of Wieferich-like primes

Divisibility relation with a specific sum of divisors

Additive basis of a set union the square of the set

Set of integer non-negative matrices with positive diagonals

Intuition behind eigenvalues of a graph mattering

Shapiro inequality for divisor sets

Classes of functions which are not almost divisible by a part of the Euler phi function

Edge contractions of a graph but only along maximum cliques