This is The Secret Number, a psychological drama by filmmakers at the Savannah College of Art and Design. This film delves into a trippy topic — that is, a mathematician who believes he's discovered an integer ("bleem") between three and four that humans have yet to comprehend. It's some enjoyably mind-warping stuff — here's the synopsis:
Based on the short story by Igor Teper, The Secret Number is about a man whose world is thrown into question. Psychiatrist Simon Tomlin (Daniel Jones) has a troubling conversation with one of his patients — a brilliant mathematician named Ersheim (Tom Nowicki), who intends to prove the existence of a secret integer between three and four. Ersheim's delusion compels Tomlin to dig deeper, but he only uncovers more questions — about fate, connection...the nature of reality.
[Via The Secret Number/hat tip to Steven]