Is Apéry's Constant Transcendental?

Open Question

It is not known whether Apéry's constant $\map \zeta 3$ is transcendental or not.

Also see

• Apéry's Theorem: $\map \zeta 3$ is irrational

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1 \cdotp 202 \, 056 \ldots$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1 \cdotp 20205 \, 6 \ldots$

• Weisstein, Eric W. "Apéry's Constant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AperysConstant.html