Definition of Totient. Meaning of Totient. Synonyms of Totient

Here you will find one or more explanations in English for the word Totient. Also in the bottom left of the page several parts of wikipedia pages related to the word Totient and, of course, Totient synonyms and on the right images related to the word Totient.

Definition of Totient

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Meaning of Totient from wikipedia

- In number theory, Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n. It is written using the...
- theory, Euler's theorem (also known as the Fermat–Euler theorem or Euler's totient theorem) states that, if n and a are coprime positive integers, then a...
- A highly totient number k {\displaystyle k} is an integer that has more solutions to the equation ϕ ( x ) = k {\displaystyle \phi (x)=k} , where ϕ {\displaystyle...
- In number theory, the totient summatory function Φ ( n ) {\displaystyle \Phi (n)} is a summatory function of Euler's totient function defined by: Φ ( n...
- In number theory, Jordan's totient function, denoted as J k ( n ) {\displaystyle J_{k}(n)} , where k {\displaystyle k} is a positive integer, is a function...
- it, making it a noncototient. 100 has a reduced totient of 20, and an Euler totient of 40. A totient value of 100 is obtained from four numbers: 101,...
- theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, one applies the totient function to a number...
- defined it in 1910. It is also known as Carmichael's λ function, the reduced totient function, and the least universal exponent function. The order of the multiplicative...
- Unsolved problem in mathematics: Can the totient function of a composite number n {\displaystyle n} divide n − 1 {\displaystyle n-1} ? (more unsolved...
- parasitic number 103,049 = Schröder–Hipparchus number 103,680 = highly totient number 103,769 = the number of combinatorial types of 5-dimensional parallelohedra...