Are there any transcendentals whose real or imaginary components have not been found in exact form?
2026-03-26 19:27:45.1774553265
Complex transcendentals not known in component form?
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In any reasonable interpretation, "exact form" means "expressible in a finite number of symbols from a fixed finite alphabet".
The number of finite words on a fixed finite alphabet is countable.
The set of real numbers is not countable.
The set of real algebraic numbers is countable.
The set of transcendental numbers is not countable.
Therefore, there are transcendental numbers that are not expressible in exact form. (Most of them!)