Quote From Xserksus:
A few more questions. How important are the articles, how many of them are desirable to have and in which journals (starting with some impact factor)?
Papers are very important but it is hard to say an exact number. You want a mix of quantity and quality, getting the mix right is difficult to say but also depends on your field/results. You definitely want one, preferably 2 papers, as it not only shows your work but also shows to future post-doc employers you know how to publish.
I think to answer that question you need to look at your results and realistically work out with your supervisor what is publishable and what isn't. Then aim to get them into the best journal you can.