User JoshuaZ

55 votes

Breakthroughs in mathematics in 2023

answered Dec 27, 2023 at 0:27

51 votes

Situations where “naturally occurring” mathematical objects behave very differently from “typical” ones

answered Jul 26, 2021 at 19:07

46 votes

Most important results in 2022

answered Dec 5, 2022 at 14:51

37 votes

Accepted

Is it known that the Collatz-like sequence with 7n+1 diverges to infinity starting with 7?

answered Jun 11 at 20:29

30 votes

Why is integer factoring hard while determining whether an integer is prime easy?

answered Dec 5, 2022 at 13:49

25 votes

Math papers where the only issue is that someone else could've done it but didn't

answered Nov 1, 2022 at 18:16

25 votes

Examples of theorems where numerical bounds on $\pi$ played a role

answered May 12 at 16:55

24 votes

Golden ratio in contemporary mathematics

answered Sep 4, 2021 at 14:26

23 votes

Accepted

Unknot recognition - how tangled does it get?

answered Aug 5, 2021 at 13:23

23 votes

Accepted

Should one state the sharpest version of a Lemma even if only a weaker version is needed?

answered Dec 20, 2022 at 11:44

22 votes

What are some ways to stay engaged with the mathematical community from outside academia?

answered Nov 21, 2023 at 21:58

20 votes

What about a mathematics journal for 'negative' results?

answered Oct 24, 2021 at 13:15

16 votes

Most important results in 2022

answered Dec 16, 2022 at 14:45

16 votes

Accepted

Are 100% of statements undecidable, in Gödel's numbering?

answered Mar 8, 2023 at 23:18

15 votes

What are the strongest arguments for a genuine quantum computing advantage?

answered Dec 9, 2021 at 12:19

14 votes

Accepted

Is an easy proof of an interesting result worth publishing?

answered Dec 13, 2023 at 18:22

12 votes

The Stable Set Conjecture

answered Nov 11, 2023 at 12:33

12 votes

What are the consequences of an ineffective proof of the Riemann Hypothesis?

answered Aug 13, 2021 at 15:48

11 votes

Heuristic argument for the Riemann Hypothesis

answered Aug 31, 2019 at 16:21

11 votes

Psychological test for Euclidean geometry

answered Dec 25, 2023 at 21:26

11 votes

5n+1 sequence starting at 7

answered Jan 16 at 18:51

11 votes

Theorems with many distinct proofs

answered Aug 11, 2021 at 15:01

10 votes

Highly composites between twin primes

answered Dec 31, 2022 at 19:21

10 votes

Is every prime the largest prime factor in some prime gap?

answered Dec 9, 2019 at 2:24

10 votes

Accepted

A weaker version of the Brocard's Conjecture

answered Dec 21, 2019 at 13:58

10 votes

Accepted

Error term in Mertens' third theorem

answered Apr 16, 2020 at 15:20

10 votes

Are there infinitely many $n$ such that $n!-1$ and $n!+1$ are prime numbers?

answered Aug 16, 2021 at 13:12

9 votes

Accepted

Are there only two solutions for $1+3+9+...+3^m=2^n$

answered Jun 12, 2021 at 17:36

9 votes

On math looking obvious in retrospect

answered Aug 12, 2019 at 14:09

9 votes

Curious patterns when ordering odd integers by their "closeness" to being a perfect number

answered 4 hours ago

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76 Answers

Breakthroughs in mathematics in 2023

Situations where “naturally occurring” mathematical objects behave very differently from “typical” ones

Most important results in 2022

Is it known that the Collatz-like sequence with 7n+1 diverges to infinity starting with 7?

Why is integer factoring hard while determining whether an integer is prime easy?

Math papers where the only issue is that someone else could've done it but didn't

Examples of theorems where numerical bounds on $\pi$ played a role

Golden ratio in contemporary mathematics

Unknot recognition - how tangled does it get?

Should one state the sharpest version of a Lemma even if only a weaker version is needed?

What are some ways to stay engaged with the mathematical community from outside academia?

What about a mathematics journal for 'negative' results?

Most important results in 2022

Are 100% of statements undecidable, in Gödel's numbering?

What are the strongest arguments for a genuine quantum computing advantage?

Is an easy proof of an interesting result worth publishing?

The Stable Set Conjecture

What are the consequences of an ineffective proof of the Riemann Hypothesis?

Heuristic argument for the Riemann Hypothesis

Psychological test for Euclidean geometry

5n+1 sequence starting at 7

Theorems with many distinct proofs

Highly composites between twin primes

Is every prime the largest prime factor in some prime gap?

A weaker version of the Brocard's Conjecture

Error term in Mertens' third theorem

Are there infinitely many $n$ such that $n!-1$ and $n!+1$ are prime numbers?

Are there only two solutions for $1+3+9+...+3^m=2^n$

On math looking obvious in retrospect

Curious patterns when ordering odd integers by their "closeness" to being a perfect number