Round 9: 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. (10[1])If the characteristic of a field is non-zero, it is a number described (10[1])by this adjective. (-5[1])An integer is raised (10[1])to the power of a number described by this adjective in the statement of Fermat’s Little Theorem. Two integers whose (10[1])highest common factor (10[1])is one (10[1])are said to be “co-,” (10[1])or “relatively,” (10[1])this (10[1])adjective. (10[1])The Fundamental Theorem of Arithmetic states that each integer greater than one can be factored uniquely into numbers described by 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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