Where can I find maths papers to read such as proofs of theorems or progress on the twin primes conjecture? I am trying to start reading up on maths proofs, nothing specific, I am just interested to see how people have proved famously difficult maths problems such as fermats last theorem or progress on the twin primes conjecture which are just two I have in mind initially. But the problem is I don't know where to look for papers unless I specifically know the name. If I know the name of a paper, I am able to find it by searching it on google and it will come up but is there like a main place to go to, to browse different mathematical papers?
 A: Wikipedia articles on mathematical topics generally have a References section with links to various papers.  Any halfway decent math text will have a Bibliography.  
But don't expect to understand Wiles's proof of Fermat's last theorem if you're a beginner.  It will take years of intensive study to get there.
A: For

trying to start reading up on maths proofs

I recommend Proofs from the Book, which

... contains 32 sections (44 in the fifth edition),
  each devoted to one theorem but often containing multiple proofs and
  related results. It spans a broad range of mathematical fields: number
  theory, geometry, analysis, combinatorics and graph theory. Erdős
  himself made many suggestions for the book, but died before its
  publication. The book is illustrated by Karl Heinrich Hofmann. It has
  gone through five editions in English, and has been translated into
  Persian, French, German, Hungarian, Italian, Japanese, Chinese,
  Polish, Portuguese, Korean, Turkish, Russian and Spanish.
In November 2017 the American Mathematical Society announced the 2018
  Leroy P. Steele Prize for Mathematical Exposition to be awarded to
  Aigner and Ziegler for this book.

https://en.wikipedia.org/wiki/Proofs_from_THE_BOOK
A: As Robert mentioned it will take lots of time to understand such theorems. You should maybe consider to search for some expository or survey articles about these theorems to get a grasp on how to prove them without understanding every single detail.
