Recent content by luciasiti

Thank you. But, in this problem, m is not prime number, m is composite number and a is an any integer.

Hi everyone I'm having difficulty in proving the following problem Give a\in \mathbb{Z} and a \ne 0. Prove that: there exist infinitely many composite numbers m such that a^{m-1}\equiv 1 mod m I tried to find m number, which is satisfied with problem requirement, but I still haven't found it...

\mathbb{Q(\sqrt{2})} is an algebraic extension of \mathbb{Q}

Hi everyone I 'm having difficulty in proving the following theorem theorem: If L/K ( L is a field extension of K) is a finite extension then it is algebraic. Show, by an example, that the converse of this theorem is not true, in general. Can you help me to find an example in this case? Thanks...