163 and Ramanujan Constant - Numberphile
1,771,243
Published 2012-03-02
More links & stuff in full description below ↓↓↓
Some slightly more advanced stuff in this video, including the Ramanujan Constant and its use in a "famous" April Fool's joke.
NUMBERPHILE
Website: www.numberphile.com/
Numberphile on Facebook: www.facebook.com/numberphile
Numberphile tweets: twitter.com/numberphile
Subscribe: bit.ly/Numberphile_Sub
Videos by Brady Haran
Patreon: www.patreon.com/numberphile
Brady's videos subreddit: www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: www.bradyharanblog.com/
Sign up for (occasional) emails: eepurl.com/YdjL9
Numberphile T-Shirts: teespring.com/stores/numberphile
Other merchandise: store.dftba.com/collections/numberphile
All Comments (21)
-
did somebody noticed that he is writing in a sheet of brown paper that is over a white board? ajajajajja i love this guys, they know how to keep the identity of their channel
-
I first encountered 163 when I moved on from 162.
-
nothing is more mysterious than the brown paper.
-
"Who knows how he managed to determine this..." He was Ramanujan, that's how
-
Ramanujan was probably the most original and great mathematician
-
Ramanujan and Gauss were absolute geniuses. Heegner wasn’t such a slouch either lol. But one of the most amazing parts of this story is that Gauss had the intuition to suspect the end of the list. How??
-
I love that this video starts with explaining how to write a number as a product of a prime, and quickly escalates to the invention of new number systems using unreal numbers.
-
It's 99 years today (26 April 2019) since he died.
-
For those interested, the fact that e^(pi sqrt(163)) is so close to a whole number has to do with properties of the modular function J(tau) as well as the fact that Z[sqrt(-163)] is a unique factorization domain.
-
Hey look, a white-board! We can use it to – Numberphile: let's stick some brown paper on it!
-
The camera man for this channel loves zooming in to faces as awkwardly as possible
-
White boards have glare that shows up strongly on camera and makes writing hard to read. The brown paper is very easy to read on camera.
-
watching left handed writing is like watching a wizard at work 😓
-
This is one of the most underrated videos on Numberphile. Absolutely fascinating!
-
What's impressive about this is that it was solved by an amateur mathematician who is as brilliant as all the professional mathematicians combined in number theories
-
Guys, go on Gauss' Wikipedia page, and look at his signature, I swear I can see Pi. XD
-
I must say, as a mathematics major, these videos really keep up my joy for maths. I really enjoy seeing videos on number theory topics and what not. Fascinating, and encourages me to become the best mathematician I can be! Thank you!
-
@grande1899 fair enough... When it comes to the more advanced stuff, it seems we're damned if do and damned if we don't... I hope you like the next one more and appreciate anyone who takes the time to comment constructively.
-
Ramanujan was the most talented mathematician to grace the world. He didn't 'proof' what he already knew until they learned him how to. He knew things on his own that the collective mind of math's history took centuries to learn.
-
Fun fact: (x^2-y^2)^2 + (2xy)^2 = (x^2+y^2)^2 For all x and y. This is bascially just a Pythagorean Triple machine
