@johncarlosbaez hmm, there are algebraic integers with norm as close to 1 as you wish, e.g. a positive real root of \\(x^n-2=0\\) goes to 1 as \\(n\to\infty\\) right? Lehmer number has minimal norm in a much subtler settings,
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"Question: What is the smallest size of an algebraic integer greater than one?"
Then he explained "size" a bit more:
"Since two algebraic integers are algebraically conjugate if they are roots of the same minimal […]