Etymology
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nth

by 1717, in algebra textbooks, in phrase to the nth, a mathematical term indicating an indefinite number, in which n is an abbreviation for (whole) number (n.). Figurative (non-mathematical) use is by 1852.

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Definitions of nth

nth (adj.)
last or greatest in an indefinitely large series;
to the nth degree
Synonyms: n-th
From wordnet.princeton.edu