Noble Number
A noble number is defined as an Irrational Number which has a Continued Fraction which becomes aninfinite sequence of 1s at some point,
The prototype is the Golden Ratio
whose Continued Fraction is composed entirely of 1s, 
. Any noble number can written as
where
and 
are the Numerator and Denominator of the 
th Convergent of 
. The noble numbers are a Subfield of 
.See also Near Noble Number
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.
- Legendre's Chi-Function
- Legendre's Constant
- Legendre Series
- Legendre's Factorization Method
- Legendre's Formula
- Legendre's Quadratic Reciprocity Law
- Legendre Sum
- Legendre Symbol
- Legendre Transformation
- Lehmer Method
- Lehmer Number
- Lehmer-Schur Method
- Lehmer's Constant
- Lehmer's Formula
- Lehmer's Phenomenon
- Lehmer's Problem
- Lehmer's Theorem
- Lehmus' Theorem
- Leibniz Criterion
- Leibniz Harmonic Triangle
- Leibniz Identity
- Leibniz Integral Rule
- Leibniz Series
- Lemarié's Wavelet
- Lemma