So many companies have already been registered in Hungary that it is very difficult to find a name that not only differs from previous names, but also cannot be confused with them.
It does not help much to add a suffix corresponding to the year to an already registered name (e.g. Príma 2006 Kft), as the Commercial Registry Court will probably not find this sufficient for differentiation.
So when thinking about the name of the company, write down at least 4-5 different names and ask the solicitor drafting the articles of association to check them before the company is established.