How Big is Graham's Number? (feat Ron Graham)
How Big is Graham's Number? (feat Ron Graham) on HackerTube: recommended by 4 Hacker News commenters across 5 separate months, 2014–2024.
Numberphile talks with mathematician Ron Graham about the magnitude of Graham's number, building up from arrow notation to show how impossibly large it is. It is part of a series of videos on this number.
What HN commenters said
6 Hacker News comments link this video. Each one links back to its thread.
jiggawattsMay 2024Strongly recommends
If math can make you feel awe, you've got to watch the Numberphile series on very big numbers. They're constants used in proofs that are specific, well-defined integers known to be finite, but so huge that the physical universe does not have enough particles (or even Plank-scale microstates) in it to represent the number of digits these numbers have! Absolutely mind-bending stuff. Listed in increasing order: "Graham's Number" [link] "How Big is Graham's Number? (feat Ron Graham)" ▶ this video "The Enormous TREE(3)" [link] "TREE(3) (extra footage)" [link] "The Daddy of Big Numbers (Rayo's Number)" [link]
in “A Trial HIV Vaccine Triggered Elusive and Essential Antibodies in Humans” · View on HN
prezjordanFeb 2015Strongly recommends
My brain melts every time I watch this video [1] from Numberphile on Graham's number. They also had another video [2] with Ron Graham himself :) [1]: [link] [2]: ▶ this video
in “Graham's Number” · View on HN
prezjordanDec 2014Strongly recommends
Is loglogloglog...log the only beast that can conquer Knuth's arrow notation? (x ↑↑↑↑...↑ n) Every time I watch videos about arrow notation or, more famously, Graham's number, my head explodes :) ▶ this video Big big numbers are really, really cool!
in “Prime Gap Grows After Decades-Long Lull” · View on HN
ObiWanFrijolesJul 2022Recommends
Graham's number [0] can be defined using hyperoperations. There's an awesome video with Ron Graham himself on Numberphile (YouTube) [1] [0] [link] [1] ▶ this video
in “The Fourth Operation: What Comes After Exponentiation” · View on HN
dahartNov 2019Recommends
> why not have an operator that applies up arrows a number of times defined with up arrows? That is exactly what up arrows do, isn’t it? Up arrows are iterated up arrows. I learned this in college but still didn’t fully understand up arrows for a long time, they grow unimaginably bigger and faster than I first thought. This video explains it pretty well: ▶ this video I don’t know about ‘ultimate’ but there are some generalizations of up arrows: [link] [link]
in “Inventing an Operation to Solve x^x = y (2000)” · View on HN
iamaadityaJul 2020Cites it
Graham's Number, as in 3 ↑↑ 3, is named after Ron Graham. [1] [link] [2] [link] [3] And here is the man himself describing it ▶ this video
in “Ron Graham has died” · View on HN