Question

Which heuristic leads to the Hardy-Littlewood conjecture about twin primes?

score 706 · Answer 1 · 2026-03-24 22:26:40

706

Views

Which heuristic leads to the Hardy-Littlewood conjecture about twin primes?

Published on 24 Mar 2026 - 22:26

score 114 · Answer 2 · 2015-11-10 15:11:44

114

Views

Is $p(p + 1)$ always a friendly number for $p$ a prime number?

Published on 10 Nov 2015 - 15:11

score 506 · Answer 3 · 2015-11-10 15:56:18

506

Views

Why is proving that $10$ is solitary considered very difficult?

Published on 10 Nov 2015 - 15:56

score 122 · Answer 4 · 2015-11-10 19:20:53

122

Views

If $\gcd(Z,\sigma(Z))=1$ and $1<N=Z\sigma(Z)$, is $N$ always friendly?

Published on 10 Nov 2015 - 19:20

score 2.7k · Answer 5 · 2026-03-25 19:08:29

2.7k

Views

Twin primes sums conjecture

Published on 25 Mar 2026 - 19:08

score 250 · Answer 6 · 2015-11-24 15:55:16

250

Views

Jacobian conjecture over $\mathbb C$ and over any field of characteristic zero

Published on 24 Nov 2015 - 15:55

score 77 · Answer 7 · 2015-11-25 15:32:58

77

Views

With $s(n)=\sum_{k=1}^n n \bmod k$, can be justified that $\forall\epsilon>0$ let us $\lim_{n\to\infty}\frac{s(n-1)}{\epsilon+s(n)}=1?$

Published on 25 Nov 2015 - 15:32

score 92 · Answer 8 · 2015-12-05 14:22:05

92

Views

Among any $2n$ consecutive integers below $n^2+2n$ at least one has no prime divisor less than $n$?

Published on 05 Dec 2015 - 14:22

score 786 · Answer 9 · 2026-03-26 04:35:21

786

Views

The four runner problem/conjecture

Published on 26 Mar 2026 - 4:35

score 344 · Answer 10 · 2015-12-21 08:03:29

344

Views

A conjecture about prime numbers based on $\sigma_1(n)$ and the Highly Abundant Numbers

Published on 21 Dec 2015 - 8:03

score 125 · Answer 11 · 2015-12-28 16:30:38

125

Views

A conjecture about the prime counting function

Published on 28 Dec 2015 - 16:30

score 439 · Answer 12 · 2016-01-01 09:34:04

439

Views

Are all totient values of Fibonacci Numbers distinct?

Published on 01 Jan 2016 - 9:34

score 283 · Answer 13 · 2016-01-03 09:01:58

283

Views

Conjecture $\sum_{m=1}^\infty\frac{y_{n+1,m}y_{n,k}}{[y_{n+1,m}-y_{n,k}]^3}\overset{?}=\frac{n+1}{8}$, where $y_{n,k}=(\text{BesselJZero[n,k]})^2$

Published on 03 Jan 2016 - 9:01

score 62 · Answer 14 · 2016-01-06 16:48:43

62

Views

Conjecture for the maximum number of rooms.

Published on 06 Jan 2016 - 16:48

score 1.4k · Answer 15 · 2026-02-23 11:23:20

1.4k

Views

Sum and product of k real numbers > 0 is unique?

Published on 23 Feb 2026 - 11:23

List Question

Which heuristic leads to the Hardy-Littlewood conjecture about twin primes?

Is $p(p + 1)$ always a friendly number for $p$ a prime number?

Why is proving that $10$ is solitary considered very difficult?

If $\gcd(Z,\sigma(Z))=1$ and $1<N=Z\sigma(Z)$, is $N$ always friendly?

Twin primes sums conjecture

Jacobian conjecture over $\mathbb C$ and over any field of characteristic zero

With $s(n)=\sum_{k=1}^n n \bmod k$, can be justified that $\forall\epsilon>0$ let us $\lim_{n\to\infty}\frac{s(n-1)}{\epsilon+s(n)}=1?$

Among any $2n$ consecutive integers below $n^2+2n$ at least one has no prime divisor less than $n$?

The four runner problem/conjecture

A conjecture about prime numbers based on $\sigma_1(n)$ and the Highly Abundant Numbers

A conjecture about the prime counting function

Are all totient values of Fibonacci Numbers distinct?

Conjecture $\sum_{m=1}^\infty\frac{y_{n+1,m}y_{n,k}}{[y_{n+1,m}-y_{n,k}]^3}\overset{?}=\frac{n+1}{8}$, where $y_{n,k}=(\text{BesselJZero[n,k]})^2$

Conjecture for the maximum number of rooms.

Sum and product of k real numbers > 0 is unique?

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