The problem is:

$\displaystyle m=2\prod p_{i}^{e_i}$ for i=1...k

where $\displaystyle k \geq 1$,$\displaystyle p_1,p_2,...p_k$ are odd primes in increasing order, and $\displaystyle e_1,...e_k$ are positive integers.

We're told that $\displaystyle m=\phi(n)$ for some odd, composite n.

Express the value of n in terms of $\displaystyle p_1,p_2,...p_k$ and $\displaystyle e_1,...e_k$.

I know since n is composite $\displaystyle \phi(n)$ is not equal to (n-1), but I'm not sure what to do elsewhere.