The larger the random file the _less_ likely you are the successfully compress it.
Everyone here is telling you that you are wrong, and have even clearly demonstrated this through both mathematical reasoning and empirical tests. Quit digging :-)
On that note, sometimes we all get too attached to our own hard-won mistakes. We all need to remember that sometimes we should set aside pride and just say, "Whoops, my reasoning was unclear or I was misinformed, thanks for correcting my misstatent or misunderstanding."
Everyone here is telling you that you are wrong, and have even clearly demonstrated this through both mathematical reasoning and empirical tests. Quit digging :-)