List questions from conjectures

Published on 27 Mar 2026 - 18:36

81

Views

Sum involving the number of zeros of $k$

Published on 30 Jul 2015 - 18:40

105

Views

Improved Betrand's postulate

Published on 26 Mar 2026 - 7:31

209

Views

If $(a_n)$ is increasing and $a_n^{1/c^n}\to\infty$, then $\sum\frac1{a_n}$ is irrational?

Published on 26 Mar 2026 - 17:33

712

Views

Can the sum of 3 unique primes be expressed as the sum of 2 primes?

Published on 06 Aug 2015 - 13:38

220

Views

conjecture about primes and a certain q-series.

Published on 13 Aug 2015 - 13:14

113

Views

connection between odd primes and a certain q-series

Published on 14 Aug 2015 - 14:57

305

Views

conjectured new generating function of fibonacci numbers

Published on 28 Mar 2026 - 12:34

335

Views

a conjectured new generating function of narayana's sequence

Published on 28 Mar 2026 - 12:31

76

Views

Infinitely many correct solutions to equation?

Published on 18 Aug 2015 - 1:24

163

Views

an interesting q-series and a certain continued-fraction

Published on 25 Mar 2026 - 9:37

109

Views

A relation related with odd perfect numbers

Published on 26 Mar 2026 - 18:30

2.4k

Views

A false conjecture by Goldbach

Published on 22 Aug 2015 - 15:17

1.7k

Views

Conjectured value of a harmonic sum $\sum_{n=1}^\infty\left(H_n-\,2H_{2n}+H_{4n}\right)^2$

Published on 29 Mar 2026 - 7:40

120

Views

A proof that $\frac{(2\phi)^n-(-1)^n}{\phi^{2n}-(-1)^n}\cdot\left(2^n-\phi^n\right)\cdot\sqrt5\in\mathbb Q$ for all $n\in\mathbb Z$

Published on 26 Mar 2026 - 17:53

List Question

A conjectured identity for tetralogarithms $\operatorname{Li}_4$

Sum involving the number of zeros of $k$

Improved Betrand's postulate

If $(a_n)$ is increasing and $a_n^{1/c^n}\to\infty$, then $\sum\frac1{a_n}$ is irrational?

Can the sum of 3 unique primes be expressed as the sum of 2 primes?

conjecture about primes and a certain q-series.

connection between odd primes and a certain q-series

conjectured new generating function of fibonacci numbers

a conjectured new generating function of narayana's sequence

Infinitely many correct solutions to equation?

an interesting q-series and a certain continued-fraction

A relation related with odd perfect numbers

A false conjecture by Goldbach

Conjectured value of a harmonic sum $\sum_{n=1}^\infty\left(H_n-\,2H_{2n}+H_{4n}\right)^2$

A proof that $\frac{(2\phi)^n-(-1)^n}{\phi^{2n}-(-1)^n}\cdot\left(2^n-\phi^n\right)\cdot\sqrt5\in\mathbb Q$ for all $n\in\mathbb Z$

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