Is the Euler-Mascheroni constant transcendental? | Manifold

Is the Euler-Mascheroni constant transcendental?

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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.

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