Reference > Brewer’s Dictionary > nth, or nth plus One,

 N. H.Nab. 
E. Cobham Brewer 1810–1897. Dictionary of Phrase and Fable. 1898.
nth, or nth plus One,
in University slang, means to the utmost degree. Thus, Cut to the nth means wholly unnoticed by a friend. The expression is taken from the index of a mathematical formula, where n stands for any number, and n + 1, one more than any number.   1

 N. H.Nab. 

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