Determining latest stable version for download

[Tim Johnson]

Some time in the near future I will want to install the latest
current stable version of python on a remote server. I anticipate
that I will either use wget from the server shell or download to my
workstation and transfer via FTP. I will need source to compile.

I see python source at https://www.python.org/ftp/python/.

How do I determine the following?
1) Latest current stable version of python 3*
2) Correct tarfile for linux - at this time I assume it will be
   linux centOS

TIA
-- 
Tim Johnson
http://www.tj49.com