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 alsoAlgebraic Integer, Prime Unit
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Cite this as:
Weisstein, Eric W. "Prime Algebraic Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimeAlgebraicNumber.html