Copeland-Erdős constant

The Copeland-Erdős constant is the concatenation of “0.” with the base 10 representations of the prime numbers in order. Its value is approximately 0.235711131719232931374143… listed in A033308 of Sloane’s OEIS.

The larger Smarandache-wellin numbers approximate the value of this constant multiplied by the appropriate power of 10.

$0+\frac{1}{4+\frac{1}{4+\frac{1}{8+\,\cdots}}}$

and is listed in A030168 of the OEIS.

In base 10, this is a normal number, a fact proven by A.H. Copeland and Paul Erdős in 1946 (hence the name of the constant).

Title Copeland-Erdős constant CopelandErdHosConstant 2013-03-22 15:55:06 2013-03-22 15:55:06 Mravinci (12996) Mravinci (12996) 10 Mravinci (12996) Definition msc 11A63 Copeland-Erdos constant Copeland-Erdös constant Copeland Erdos constant Copeland Erdös constant