- In
number theory, two
integers a and b are
coprime,
relatively prime or
mutually prime if the only
positive integer that is a
divisor of both of them...
- of
these integers,
under the
condition that the
divisors are
pairwise coprime (no two
divisors share a
common factor other than 1). The
theorem is sometimes...
-
preceding 135. 134 is a
nontotient since there is no
integer with
exactly 134
coprimes below it. And it is a
noncototient since there is no
integer with 134 integers...
- Fermat–Euler
theorem or Euler's
totient theorem)
states that, if n and a are
coprime positive integers, then a φ ( n ) {\displaystyle a^{\varphi (n)}} is congruent...
-
number of
prime numbers (10)
below it. The
largest number such that all
coprimes smaller than itself,
except for 1, are prime. The sum of the
first four...
-
cannot be
expressed as the
difference between any
integer and the
total of
coprimes below it,
making it a noncototient. 100 has a
reduced totient of 20, and...
-
preceding 123. 122 is a
nontotient since there is no
integer with
exactly 122
coprimes below it. Nor is
there an
integer with
exactly 122
integers with common...
- = f ( a ) f ( b ) {\displaystyle f(ab)=f(a)f(b)}
whenever a and b are
coprime. An
arithmetic function f(n) is said to be
completely multiplicative (or...
- ( x ) = { 1 q if x = p q ( x is rational), with p ∈ Z and q ∈ N
coprime 0 if x is irrational. {\displaystyle f(x)={\begin{cases}{\frac {1}{q}}&{\text{if...
- number. a
nontotient since there is no
integer with 230
coprimes below it. the sum of the
coprime counts for the
first 27 integers. the
aliquot sum of both...
