- 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...
- 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...
- In
modular arithmetic, the
integers coprime (relatively prime) to n from the set { 0 , 1 , … , n − 1 } {\displaystyle \{0,1,\dots ,n-1\}} of n non-negative...
- an
integer multiple of 7. If a is not
divisible by p, that is, if a is
coprime to p, then Fermat's
little theorem is
equivalent to the
statement that...
- φ is Euler's
totient function, then ac ≡ ad (mod m)—provided that a is
coprime with m. For
cancellation of
common terms, we have the
following rules:...
- f(ab)=f(a)f(b)}
whenever a {\displaystyle a} and b {\displaystyle b} are
coprime. An
arithmetic function is said to be
completely multiplicative (or totally...
- triangle. A
primitive Pythagorean triple is one in
which a, b and c are
coprime (that is, they have no
common divisor larger than 1). For example, (3,...
- n ) {\displaystyle a^{m}\equiv 1{\pmod {n}}}
holds for
every integer a
coprime to n. In
algebraic terms, λ(n) is the
exponent of the
multiplicative group...
- by a
number of the
first few primes, so that the
generated numbers are
coprime with
these primes, by construction. For a
chosen number n (usually no larger...
