It appears that any infinite sum or definite integral with a nice closed form (like $\pi^2$ or $\sqrt{2}$) always has a proof. Are there any known infinite sums or definite integrals left, where the answer is known (or conjectured), but no one managed to make a proof yet?
2026-04-12 12:36:09.1775997369
Definite integrals and infinite sums with known (conjectured) closed forms but no proof
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