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Is the Euler–Mascheroni constant an algebraic number or a transcendental number?

“We must know. We will know!”

“The conviction of the solvability of every mathematical problem is a powerful incentive to the worker. We hear within us the perpetual call: There is the problem. Seek its solution. You can find it by pure reason, for in mathematics there is no ignorabimus.” — David Hilbert.

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