PowerMod Is Eventually Periodic
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The sequence is known to be eventually periodic, which is to say that there is a smallest positive
such that
for all
. Naturally we call
the period, and the minimal value of
, the periodicity onset. L. Euler proved that the period must divide the totient of the modulus
.
Contributed by: Oleksandr Pavlyk (December 2008)
Open content licensed under CC BY-NC-SA
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