New posts in Conjectures

What do mathematicians mean when they say some conjecture can’t be proven using the current technology?

Conjecture that $ \frac{\gcd(a+b,ab)}{\gcd(a,b)} \mid \gcd(a,b)$

Is there any conjecture that has been proved to be solvable/provable but whose direct solution/proof is not yet known?

Show that $\int_0^1 4 \space\operatorname{li}(x)^3 \space (x-1) \space x^{-3} dx = \zeta(3) $

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

Is this integral $\int_0^\infty\frac{\cos(a x+ 2b \arctan x)}{x^2+1}dx$ exactly zero when $b\in\mathbb{N}$?

A conjecture concerning the number of divisors and the sum of divisors.

An inequality involving three consecutive primes

Simple Calculus view on Fermat's Last Theorem

Are there examples of conjectures that turned out to be false despite of strong heuristics?