# New types of congruences?

Well these congruences are pretty basic and trivial but I didn't find anything about them in books or on net.

It is interesting to note the following congruences.

$1) \phi(a)^n \equiv \phi(a) \mod a$ Here , $$a$$ is arbitary prime number and $$n$$ is any odd number.

$2) \phi(a)^{n'} \equiv 1\mod a$ Here $$a$$ is any arbitary prime and $$n'$$ is an arbitary even number.

Note by A Brilliant Member
3 years ago

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