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)ϕ(a)nϕ(a)moda1) \phi(a)^n \equiv \phi(a) \mod a Here , aa is arbitary prime number and nn is any odd number.


2)ϕ(a)n1moda2) \phi(a)^{n'} \equiv 1\mod a Here aa is any arbitary prime and nn' is an arbitary even number.


Note by A Brilliant Member
3 years, 6 months ago

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