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who says the alternate definition is preferred?
==Alternative Definition==
==Alternative Definition==
Mathematicians often prefer the following definition, which, for integers, is equivalent to the one stated above: <blockquote>''A prime number is a non-unit (i.e., not 1 or -1 for the integers) which whenever it divides the product of two numbers will divide at least one of the factors.''</blockquote>
Mathematicians often prefer the following definition,{{fact}} which, for integers, is equivalent to the one stated above: <blockquote>''A prime number is a non-unit (i.e., not 1 or -1 for the integers) which whenever it divides the product of two numbers will divide at least one of the factors.''</blockquote>
Or in symbolic notation:
Or in symbolic notation: