Can you explain more what you mean by "set size of only growing gaps" - I like this!
https://www.reddit.com/r/math/comments/cbd0a7/found_e_in_the...
https://www.reddit.com/r/math/comments/ikwn03/e_in_the_prime...
https://www.reddit.com/r/math/comments/n0mw3r/deriving_e_fro...