Round 11: 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 (-5[1])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 (-5[1])this adjective in the statement of Fermat’s Little Theorem. (10[1]-5[1])Two integers whose highest common factor is one are said to be “co-,” (10[2])or (10[1])“relatively,” this adjective. (10[1])The Fundamental (10[1])Theorem of Arithmetic states that each integer greater than one can be factored uniquely (10[1])into numbers described 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])

ANSWER: prime [accept prime ideal; accept prime number; accept relatively prime; accept coprime]
<Editors, Other Science> | Packet L
= Average correct buzz position

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