by the way vs fortuitously

by the way

adv
  • Irrelevantly, off-topic. 

prep
  • Incidentally; used in referencing a parenthetical statement not timely, central, or crucial to the topic at hand; foregone, passed by, something that has already happened. 

fortuitously

adv
  • In a fortuitous manner; in a manner of happening by chance; coincidentally; accidentally. 

  • In a fortuitous manner; in a manner of happening by a lucky chance; luckily; fortunately. 

How often have the words by the way and fortuitously occurred in a corpus of books? (source: Google Ngram Viewer )