The Kuznetsov is not nuclear powered. She has just been through a minor refit. After this Mediterranean deployment she will go back to the Kola peninsula for a major upfit that will last a couple of years.
Some reports disagree. Jane’s not helpful.
http://www.defenseindustrydaily.com/Upgrading-the-Admiral-Russias-Kuznetsov-06305/
[I’m not about to get into a pissing match about it]
Russian saber-rattling in the ME isn’t bothering anyone else, so nevermind.