List questions from experimental-mathematics

Published on 22 Mar 2026 - 6:03

340

Views

Skewes' number, and the smallest $x$ such that $\pi(x) > \operatorname{li}(x) - \tfrac1n \operatorname{li}(x^{1/2})$?

Published on 24 Mar 2026 - 18:43

178

Views

On the solutions of an equation involving the Euler's totient function that is solved by the primes of Rassias' conjecture

Published on 19 Mar 2026 - 18:04

227

Views

Making something a control parameter or a variable when analysing a dynamical system

Published on 19 Mar 2026 - 22:49

726

Views

Conjectures Disproven by the use of Computers?

Published on 22 Mar 2026 - 15:57

59

Views

Can you propose a conjectural $\text{Upper bound}(x)$ for the counting function of a sequence of primes arising from the Eratosthenes sieve?

Published on 22 Mar 2026 - 7:49

531

Views

$1$ as difference of composites with same number of prime factors and smallest examples

Published on 20 Mar 2026 - 0:52

83

Views

Why this behaviour of primes?

Published on 20 Mar 2026 - 8:29

140

Views

What about sequences $\{\sum_{k=1}^n (\operatorname{rad}(k))^p\}_{n\geq 1}$ containing an infinitude of prime numbers, where $p\geq 1$ is integer?

Published on 20 Mar 2026 - 8:09

283

Views

Determine convergence from experimental data set

Published on 20 Mar 2026 - 10:17

267

Views

For any positive integer $k$, are there always primes $p$ and $q$ such that $q-p=2^k$?

Published on 19 Mar 2026 - 17:08

53

Views

Lines and Points

Published on 23 Mar 2026 - 1:16

245

Views

Distribution of triangular, square, and pentagonal numbers

Published on 17 Mar 2026 - 14:46

305

Views

Distributions of prime numbers

Published on 17 Mar 2026 - 21:28

66

Views

Geometry: polar equation of conics

Published on 17 Mar 2026 - 20:09

List Question

Powers of a simple matrix and Catalan numbers

Skewes' number, and the smallest $x$ such that $\pi(x) > \operatorname{li}(x) - \tfrac1n \operatorname{li}(x^{1/2})$?

On the solutions of an equation involving the Euler's totient function that is solved by the primes of Rassias' conjecture

Making something a control parameter or a variable when analysing a dynamical system

Conjectures Disproven by the use of Computers?

Can you propose a conjectural $\text{Upper bound}(x)$ for the counting function of a sequence of primes arising from the Eratosthenes sieve?

$1$ as difference of composites with same number of prime factors and smallest examples

Why this behaviour of primes?

What about sequences $\{\sum_{k=1}^n (\operatorname{rad}(k))^p\}_{n\geq 1}$ containing an infinitude of prime numbers, where $p\geq 1$ is integer?

Determine convergence from experimental data set

For any positive integer $k$, are there always primes $p$ and $q$ such that $q-p=2^k$?

Lines and Points

Distribution of triangular, square, and pentagonal numbers

Distributions of prime numbers

Geometry: polar equation of conics

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