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The decimal 0.23571113171923... (Sloane's A033308) obtained by concatenating the Primes: 2, 23, 235, 2357, 235711,
... (Sloane's A019518; one of the Smarandache Sequences). In 1945, Copeland and Erdös showed that it is a Normal
Number. The first few digits of the Continued Fraction of the Copeland-Erdös constant are 0, 4, 4, 8, 16, 18, 5, 1,
... (Sloane's A030168). The positions of the first occurrence of 
in the Continued Fraction are 8, 16, 20,
2, 7, 15, 12, 4, 17, 254, ... (Sloane's A033309). The incrementally largest terms are 4, 8, 16, 18, 58, 87, 484,
... (Sloane's A033310), which occur at positions 2, 4, 5, 6, 18, 36, 82, 89, ... (Sloane's A033311).
See also Champernowne Constant, Prime Number
References
Sloane, N. J. A. SequencesA019518, A030168, A033308, A033309, A033310, and A033311 in ``An On-Line Version of the Encyclopedia of Integer Sequences.''
http://www.research.att.com/~njas/sequences/eisonline.html.