Prove that polynomial is irreducible in where , and Euler's totient function.
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This is wrong. Let .
Then this polynomial is:
Using the fact that we get: .
Use the fact that
This is not irreducible.
You forgot one member but polynomial is still not irreducible.
Originally Posted by rodeo You forgot one member but polynomial is still not irreducible.
Thanks! Your problem looks similar to this, hopefully you never seen it before. Let . Now define .
It turns out that and is irreducible.
I know for that so called cyclotomic polynomials and there are my primerily idea to creating the problem.
Right question is :
find such , , .
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