These Numbers Are Too Terrifying For The Human Brain To Process

A shuffled deck of cards can fall into a 68-digit number of orders. In 1950 Claude Shannon found that the possible games of chess outnumber the atoms in the observable universe, and physicists can measure one small number, about 1/137, to twelve digits without knowing why. So what waits at the top of the list? Ten real numbers, from cards and chess to primes and proofs. A full three-to-four-hour walk, made for listening at any pace, including drifting off. Settle in and let this slow walk through the strangest numbers in mathematics and physics keep you company tonight. Subscribe to Midnight Theorems if you like the long way through the strangest serious ideas in physics. CHAPTERS 0:00 Introduction 1:29 Number 10 A shuffled deck of cards 23:07 Number 9 Every atom there is 44:14 Number 8 The games of chess 1:05:46 Number 7 One over 137 1:30:02 Number 6 The water in a spoon 1:50:52 Number 5 The landscape of possible universes 2:14:31 Number 4 A pattern in the primes breaks 2:36:42 Number 3 A window never large enough 3:00:20 Number 2 A doodle in the margin 3:23:00 Number 1 The step that isn't there SOURCES Bayer & Diaconis, Trailing the Dovetail Shuffle to its Lair (1992) — https://www.projecteuclid.org/euclid.... Planck Collaboration, Planck 2018 results VI: Cosmological parameters — https://arxiv.org/abs/1807.06209 Shannon, Programming a Computer for Playing Chess (1950) — https://vision.unipv.it/IA1/Programmi... CODATA Recommended Values of the Fundamental Physical Constants: 2022 — https://arxiv.org/abs/2409.03787 Murphy et al., Fundamental physics with ESPRESSO (2022) — https://iac.edu.es/en/science-and-tec... Douglas, Basic results in vacuum statistics (2004) — https://arxiv.org/abs/hep-th/0409207 Taylor & Wang, The F-theory geometry with most flux vacua (2015) — https://arxiv.org/abs/1511.03209 Obied, Ooguri, Spodyneiko & Vafa, De Sitter Space and the Swampland (2018) — https://arxiv.org/abs/1806.08362 Bays & Hudson, A new bound for the smallest x with π(x) li(x) (2000) — https://www.ams.org/mcom/2000-69-231/... Büthe, An analytic method for bounding ψ(x) (2015) — https://arxiv.org/abs/1511.02032 Lipka, Further improving of upper bound on a geometric Ramsey problem (2019) — https://arxiv.org/abs/1905.05617 A lower bound for Kruskal's weak tree function tree(3) (2026) — https://arxiv.org/abs/2601.19658 Yedidia & Aaronson, A Relatively Small Turing Machine Whose Behavior Is Independent of Set Theory — https://arxiv.org/abs/1605.04343 Quanta Magazine, Busy Beaver Hunters Reach Numbers That Overwhelm Ordinary Math (2025) — https://www.quantamagazine.org/busy-b... Busy Beaver Challenge wiki, Independence from ZFC — https://wiki.bbchallenge.org/wiki/Ind... — Disclaimer: Midnight Theorems explores open questions at the edge of physics, mathematics, and consciousness, for curiosity and rest. The physicists, experiments, and published ideas named in each video are real, but many of those ideas are unproven hypotheses or minority views, and the narration says which is which. Nothing here is settled science unless it is described that way, and none of it is news or advice. Listen at your own discretion. #LargeNumbers #ShannonNumber