This is my first post in this community, please excuse me if this kind of post is inappropriate.
I completed my second year of my Bachelor's Degree in Mathematics (where I study, all Bachelor's Degrees are a 3 year course, unlike in USA). I have asked one of my Professors to organize a Mathematics Research Internship for which I wouldn't get paid, as I just wanted to get into the world of research and improve my level of math, and hopefully get some experience in research.
As I am working towards the end of it, I am starting to wonder if this Internship will have any credibility or a positive effect on my CV once I apply to a Master's Degree program (I don't think anyone will look at what I am doing now when I apply to a PhD program). What provokes such doubts in me is the fact that I am doing "pseudo-research", basically I am trying to prove some properties that have been proved long ago. Most of the stuff that I proved can be most likely found in graduate Mathematics text books. I think that whoever will be studying my CV will have doubts about my credibility.
So my question, how will my internship's "scientific report" look (basically a presentation of what I have done, all the proofs and all the application I have done)?