- 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...
- 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...
- 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...
- 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...
- 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...
- have
totients of 6000, 5555, and 8888 (as well as 11110) have
totients of 4000, 3333, 4444 and 6666 have
totients of 2000, 1111 and 2222 have a
totient of...
- However, the
following is true: If c ≡ d (mod φ(m)),
where φ is Euler's
totient function, then ac ≡ ad (mod m)—provided that a is
coprime with m. For cancellation...
-
Unsolved problem in mathematics: Can the
totient function of a
composite number n {\displaystyle n}
divide n − 1 {\displaystyle n-1} ? (more unsolved...
-
perfect totient number. 111 is
furthermore the
ninth number such that its
Euler totient φ ( n ) {\displaystyle \varphi (n)} of 72 is
equal to the
totient value...
