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 in the statement of Fermat’s Little Theorem. Two integers whose highest common factor is one are said to be “co-,” (10[1])or “relatively,” this adjective. (10[1])The Fundamental Theorem of Arithmetic states that each integer greater than one can be factored uniquely (10[1])into numbers described (10[1])by this adjective. For 10 points, give this adjective used to describe numbers whose only factors are themselves (10[1])and one. ■END■ (10[1])

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