Is the Euler-Mascheroni constant transcendental?

Question

This market resolves YES if the Euler-Mascheroni constant, defined as the limit of H(n)-ln(n) (where H(n) is the nth partial sum of the harmonic series), is proven to be transcendental and NO if it is proven to be algebraic.

(https://manifold.markets/embed/JosephNoonan/is-the-eulermascheroni-constant-irr)(https://manifold.markets/embed/JosephNoonan/is-catalans-constant-transcendental)(https://manifold.markets/embed/JosephNoonan/is-aperys-constant-transcendental)

Manifold Markets · Answer

Very likely — Manifold Markets prediction market estimates a 86% chance (8 traders, as of Oct 28, 2025).

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