Copeland-Erdős Constant

The Copeland-Erdős constant is the constant with decimal expansion 0.23571113171923... (OEIS A033308) obtained by concatenating consecutive primes: 2, 23, 235, 2357, 235711, ... (OEIS A019518). It is one of the Smarandache sequences and is considered as an infinite word by Allouche and Shallit (2003, pp. 299 and 334).

It is therefore given by the formula

Copeland and Erdős (1946) showed that it is a normal number in base 10.

Interestingly, while the Champernowne constant continued fraction contains sporadic very large terms, making the continued fraction difficult to calculate, the Copeland-Erdős constant continued fraction is well-behaved and does not show the "large term" phenomenon.

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