Round 12: Tossup 20

An ideal of a ring can be described by this adjective if and only if its associated quotient ring is an integral domain. If the characteristic of a field is non-zero, it is a number described by this adjective. An integer is raised to the power of a number described by this adjective (-5[1])in the statement of Fermat’s Little Theorem. (10[2])Two integers whose highest common factor is one (10[1])are said to be (10[1])“co-,” (10[2])or (10[1]-5[1])“relatively,” this adjective. The Fundamental Theorem (10[1])of Arithmetic states that (10[1])each integer greater than one can be factored uniquely into (10[1])numbers described by this adjective. For 10 points, give this adjective used to describe numbers whose only factors (10[1])are themselves and one. ■END■ (10[1])

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