A noble number is defined as an Irrational Number which has a Continued Fraction which becomes an
infinite sequence of 1s at some point,

The prototype is the Golden Ratio whose Continued Fraction is composed

where and are the Numerator and Denominator of the th Convergent of . The noble numbers are a Subfield of .

**References**

Hardy, G. H. and Wright, E. M. *An Introduction to the Theory of Numbers, 5th ed.*
Oxford, England: Clarendon Press, p. 236, 1979.

Schroeder, M. ``Noble and Near Noble Numbers.'' In
*Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise.* New York: W. H. Freeman, pp. 392-394, 1991.

© 1996-9

1999-05-25