Copeland-Erdős constant

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The Copeland-Erdős constant is a real number obtained by putting the prime numbers, in order, as the decimals of a real number: $$0.235711131719232931374143\ldots$$

Properties

Theorem: The Copeland-Erdős constant is irrational.

Proof:

Theorem: The Copeland-Erdős constant is a normal number.

Proof: