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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...

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

Its continued fraction is

0 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{8+\,\cdots}}} ()

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

Copeland-Erdőseva konstanta

 

This article is licensed under the GNU Free Documentation License. It uses material from the "Copeland-Erdős constant".

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