Continued fractions, Fermat, Euler, Lagrange Introduction
... 1/x1 is at most one. Note that x − m cannot be an integer since x is not a fraction of integers and therefore not an integer neither. Hence whatever 1/x1 is, it is a well defined reciprocal since it is nonzero, and it is strictly less than one. Then the only possible choice for m1 is the integer par ...
... 1/x1 is at most one. Note that x − m cannot be an integer since x is not a fraction of integers and therefore not an integer neither. Hence whatever 1/x1 is, it is a well defined reciprocal since it is nonzero, and it is strictly less than one. Then the only possible choice for m1 is the integer par ...
