Round 12: Tossup 20

An ideal of a ring can be described by this adjective if and only if its associated quotient ring (-5[1])is an integral domain. (10[1])If the characteristic of a field is non-zero, it is a number described by this adjective. (-5[1])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 (10[3])“relatively,” (10[3])this adjective. The Fundamental Theorem of Arithmetic states that each integer greater than one can be factored uniquely into numbers described by (10[1])this adjective. (10[1])For 10 points, give this adjective used to describe numbers whose only factors are themselves and one. ■END■ (10[1])

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