List questions from conjectures

121

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 25 Mar 2026 - 11:16

585

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 19 Mar 2026 - 14:31

93

Views

A conjecture regarding a strange infinite sum

Published on 01 Jun 2018 - 9:02

113

Views

A conjectured formula for the polylogarithm of a negative integer order

Published on 24 Mar 2026 - 23:43

248

Views

Generalization of Opperman's Conjecture

Published on 22 Mar 2026 - 9:11

688

Views

A conjecture regarding odd perfect numbers

Published on 25 Mar 2026 - 2:57

169

Views

Conjecture about the prime number function

Published on 25 Mar 2026 - 10:59

4.5k

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

Published on 20 Jun 2018 - 11:13

758

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Two sequences which have an average tend to zero

Published on 22 Jun 2018 - 7:33

101

Views

A modular conjecture about odd primes

Published on 27 Jun 2018 - 19:08

192

Views

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

Published on 22 Mar 2026 - 23:05

727

Views

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

Published on 25 Mar 2026 - 4:37

114

Views

On Sierpinski's Conjecture

Published on 11 Jul 2018 - 15:42

505

Views

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

Published on 18 Jul 2018 - 0:05

130

Views

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

Published on 25 Mar 2026 - 9:07

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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