List questions from conjectures

123

Views

On a conjecture that $\sum\limits_{n=1}^k\frac{1}{\pi^{1/n}p_n}\stackrel{k\to\infty}{\longrightarrow} 2$.

Published on 10 May 2026 - 18:05

592

Views

Trigamma identity $\psi_1\left(\frac{11}{12}\right)-\psi_1\left(\frac{5}{12}\right)=4\sqrt 3 \pi^2-80G$

Published on 27 Apr 2026 - 22:59

96

Views

A conjecture regarding a strange infinite sum

Published on 16 Apr 2026 - 2:25

114

Views

A conjectured formula for the polylogarithm of a negative integer order

Published on 10 May 2026 - 14:52

254

Views

Generalization of Opperman's Conjecture

Published on 23 Apr 2026 - 11:06

691

Views

A conjecture regarding odd perfect numbers

Published on 10 May 2026 - 14:28

170

Views

Conjecture about the prime number function

Published on 27 Mar 2026 - 10:56

4.5k

Views

If $a+b+c$ divides the product $abc$, then is $(a,b,c)$ a Pythagorean Triple?

Published on 10 May 2026 - 15:52

761

Views

Two sequences which have an average tend to zero

Published on 12 Apr 2026 - 18:48

104

Views

A modular conjecture about odd primes

Published on 10 Apr 2026 - 17:46

198

Views

The equation $\varphi(n)=n-\log_2(1+\operatorname{gpf}(n))-\operatorname{gpf}(n)+1$ and Mersenne primes

Published on 10 May 2026 - 17:47

731

Views

What is known about the $7x+1$ problem?

Published on 10 May 2026 - 14:55

117

Views

On Sierpinski's Conjecture

Published on 15 Apr 2026 - 6:11

508

Views

Prove that $\sum\limits_{i=1}^{n} a_i\geq n^2$.

Published on 17 Apr 2026 - 2:45

135

Views

Conjectures for which there are strong heuristic arguments both for and against

Published on 10 May 2026 - 11:20

List Question

On a conjecture that $\sum\limits_{n=1}^k\frac{1}{\pi^{1/n}p_n}\stackrel{k\to\infty}{\longrightarrow} 2$.

Trigamma identity $\psi_1\left(\frac{11}{12}\right)-\psi_1\left(\frac{5}{12}\right)=4\sqrt 3 \pi^2-80G$

A conjecture regarding a strange infinite sum

A conjectured formula for the polylogarithm of a negative integer order

Generalization of Opperman's Conjecture

A conjecture regarding odd perfect numbers

Conjecture about the prime number function

If $a+b+c$ divides the product $abc$, then is $(a,b,c)$ a Pythagorean Triple?

Two sequences which have an average tend to zero

A modular conjecture about odd primes

The equation $\varphi(n)=n-\log_2(1+\operatorname{gpf}(n))-\operatorname{gpf}(n)+1$ and Mersenne primes

What is known about the $7x+1$ problem?

On Sierpinski's Conjecture

Prove that $\sum\limits_{i=1}^{n} a_i\geq n^2$.

Conjectures for which there are strong heuristic arguments both for and against

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