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Multiplicative order
In
number theory
, given an
integer
a
and a positive integer
n
with
gcd
(
a
,
n
) = 1, the
multiplicative order
of
a
modulo
n
is the smallest positive integer
k
with
a
k
= 1 (
mod
n
).
In other words, the multiplicative order of
a
modulo
n
is the
order
of
a
in the
multiplicative group
of the
units
in the
ring
of the integers
modulo
n
.
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