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totient

totient Math.
  (ˈtəʊʃənt)
  [irreg. f. L. totiēs, totiens, f. tot so many, after quotient.]
  The number of numbers (including unity) less than and prime to a given number. So totitive (ˈtɒtɪtɪv) [irreg. f. L. tot + -itive in such words as primitive, unitive], any one of such numbers in relation to the given number.

1879 Sylvester Math. Papers (1909) III. 337 Understanding by the ‘totitives’ of k the numbers less than k and prime to it, these totitives may be arranged in (among others) the natural groups hereunder written. 1883 Ibid. (1912) IV. 102 The sum of the totients of all the natural numbers up to j inclusive—a totient to x (which I denote by rx) meaning the number of numbers less than x and prime to it. 1891 Athenæum 21 Mar. 383/1 ‘Some Theorems concerning Groups of Totitives of n’, by Prof. L. Tanner.

Oxford English Dictionary

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