A prime algebraic number is an irreducible algebraic integer which has the property that, if it divides the product of two algebraic
integers, then it divides
at least one of the factors. 1 and 
are the only integers which divide every integer. They are
therefore called the prime units.
Prime Algebraic Number
See also
Algebraic Integer, Prime UnitExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Prime Algebraic Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PrimeAlgebraicNumber.html