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The 10,958 Problem - Numberphile

Featuring Matt Parker... Part 2 (solution) here: https://youtu.be/pasyRUj7UwM
More links & stuff in full description below ↓↓↓

Discuss this video on Brady's subreddit: https://redd.it/6628q2

We appreciate any help on Patreon - it lets us make a few more and better videos: http://www.patreon.com/numberphile

Matt Parker on Numberphile playlist: http://bit.ly/Matt_Videos
Matt's channel: http://bit.ly/StandUpMaths

Parker Square T-Shirt: http://bit.ly/ParkerSquareTshirt

Inder J. Taneja papers...
Single Digit Representations of Natural Numbers
https://arxiv.org/abs/1502.03501
Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9
https://arxiv.org/abs/1302.1479

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.

NUMBERPHILE
Website: http://www.numberphile.com/
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This site provides links to random videos hosted at YouTube, with the emphasis on random.

The original idea for this site actually stemmed from another idea to provide a way of benchmarking the popularity of a video against the general population of YouTube videos. There are probably sites that do this by now, but there wasn’t when we started out. Anyway, in order to figure out how popular any one video is, you need a pretty large sample of videos to rank it against. The challenge is that the sample needs to be very random in order to properly rank a video and YouTube doesn’t appear to provide a way to obtain large numbers of random video IDs.

Alternative random YouTube videos generator: vTomb

Even if you search on YouTube for a random string, the set of results that will be returned will still be based on popularity, so if you’re using this approach to build up your sample, you’re already in trouble. It turns out there is a multitude of ways in which the YouTube search function makes it very difficult to retrieve truly random results.

So how can we provide truly random links to YouTube videos? It turns out that the YouTube programming interface (API) provides additional functions that allow the discovery of videos which, with the right approach, are much more random. Using a number of tricks, combined some subtle manipulation of the space-time fabric, we have managed to create a process that yields something very close to 100% random links to YouTube videos.