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Totative


A totative is a positive integer less than or equal to a number n which is also relatively prime to n, where 1 is counted as being relatively prime to all numbers. The number of totatives of n is the value of the totient function phi(n).

The term was popularized by Sylvester (1879; Dickson 2005, p. 124), who spelled it "totitive."


See also

Relatively Prime, Totient Function

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References

Dickson, L. E. History of the Theory of Numbers, Vol. 1: Divisibility and Primality. New York: Dover, 2005.Sylvester, J. J. "On Certain Ternary Cubic-Form Equations. Excursus A. On the Divisors of Cyclotomic Functions." Amer. J. Math. 2, 357-393, 1879.

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Totative

Cite this as:

Weisstein, Eric W. "Totative." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Totative.html

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