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Sloane's Gap - Numberphile

Numberphile

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  • Recommended by 2 people: 2 on Hacker News.
  • A classic. People kept recommending it from 2013 to 2017.
  • Presented by Dr James Grime
  • Linked in the descriptionarXiv 1101.4470

Beginner. No background in the topic needed.

1.5M views13 years ago2 recommendations

Computer scienceComputation and complexityMath for programmers

Dr James Grime explains Sloane's Gap, the mathematical phenomenon where certain integers are underrepresented in the Online Encyclopedia of Integer Sequences.

Thanks to audible.com/numberphile More links & stuff in full description below ↓↓↓ Here's the paper Dr Grime discusses: arxiv.org/pdf/1101.4470.pdf OEIS: oeis.org Dr Grime: singingbanana.com 1729: youtu.be/LzjaDKVC4iY NUMBERPHILE Website: numberphile.com/ Numberphile on Facebook: facebook.com/numberphile Numberphile tweets: twitter.com/numberphile Subscribe: bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: patreon.com/numberphile Brady's videos subreddit: reddit.com/r/BradyHaran/ Brady's latest videos across all channels: bradyharanblog.com/ Sign up for (occasional) emails: eepurl.com/YdjL9 Numberphile T-Shirts: teespring.com/stores/numberphile Other merchandise: store.dftba.com/collections/numberphile

Why it's here

2 people recommend this

What people say. Recommended as an engaging explanation of how complexity and human interest shape the distribution of numbers in the OEIS.

jlgrecoon Hacker News • Recommends

On “Sloane's Gap.”

Background on the On-Line Encyclopedia of Integer Sequences: link Very good video on Sloane's Gap, for the impatient: link to this video The article is particularly interesting to me for it's examination of what complexity theory tells us to expect for the distribution of 'interesting' integer sequences. That cultural influences can (probably) have such a dramatic and measurable effect on something like mathematics is fascinating as well.
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Houshalteron Hacker News • Recommends

On “2017 is not just another prime number”

Well the first number that doesn't appear in OEIS is 18159. That make it interesting to me , but apparently this number isn't interesting to mathematicians. Of course since OEIS is finite, there will always be numbers which don't make it. What's really interesting is that some numbers are disproportionately underrepresented. They appear much less often than other numbers of the same size. And if you plot each number by the number of times it occurs, it makes a really interesting pattern: link to this video
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pdkl95on Hacker News • Mentions

On “The On-Line Encyclopedia of Integer Sequences”

When you plot the "importance" N(n) of the positive integers, where N(n) = The number of occurrences of n in the OEIS an interesting anomaly appears1. The "importance" of the integers fall into two clusters, separated by Sloane's Gap 23. Also, Neil Sloane appeared4 several times on Numberphile. In the last few videos of that4 playlist ("Amazing Graphs"), Sloane shares some of the particularly interesting sequences from the OEIS. 1 link 2 link 3 link to this video 4 link
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