---
title: 1³+2³+3³+4³+5³+6³+7³+8³+9³+10³+11³+12³+13³+14³+15³+16³+17³+18³+19³+20³+21³+22³+23³+24³+25³+26³+...
link: https://www.youtube.com/watch?v=cOTf_YEmSOU
source: youtube-com-numberphile
published: 2026-07-18T13:18:40Z
updated: 2026-08-02T04:30:34Z
first_seen: 2026-09-08T10:17:10.166315Z
authors:
- Numberphile
summary: |-
  Ben Sparks with stunning visual proofs of some famous sums of series. More links & stuff in full description below ↓↓↓

  More Ben on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLDKmnxLg8477hrxY33LL6q

  Ben Sparks: http://www.bensparks.co.uk/

  Sum of the Integers (if you dare): https://www.youtube.com/playlist?list=PLt5AfwLFPxWK2zCU-4X1iuuu5m8hf6L1B

  Geogebra files from this video...
  Triangle numbers, sum of integers: https://www.geogebra.org/m/dmtqdkth
  Sum of squares: https://www.geogebra.org/m/bx26yyac
  Sum of cubes: https://www.geogebra.org/m/ytbpufrf

  Books...
  Why Don't Rabbits Rule the World: https://amzn.to/4h3yWhJ
  Maths: 100 Ideas in 100 Words: https://amzn.to/3RIpB4n

  Patreon: http://www.patreon.com/numberphile

  Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet

  We are also grateful for support from the Ben Delo Foundation - https://delo.org/

  NUMBERPHILE
  Website: http://www.numberphile.com/

  Videos by Brady Haran

  Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile

  Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/

  Brady's latest videos across all channels: http://www.bradyharanblog.com/

  Sign up for (occasional) emails: http://eepurl.com/YdjL9
content: extracted
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extra:
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  thumbnail: https://i4.ytimg.com/vi/cOTf_YEmSOU/hqdefault.jpg
---

Ben Sparks with stunning visual proofs of some famous sums of series. More links & stuff in full description below ↓↓↓

More Ben on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLDKmnxLg8477hrxY33LL6q

Ben Sparks: http://www.bensparks.co.uk/

Sum of the Integers (if you dare): https://www.youtube.com/playlist?list=PLt5AfwLFPxWK2zCU-4X1iuuu5m8hf6L1B

Geogebra files from this video...\
Triangle numbers, sum of integers: https://www.geogebra.org/m/dmtqdkth\
Sum of squares: https://www.geogebra.org/m/bx26yyac\
Sum of cubes: https://www.geogebra.org/m/ytbpufrf

Books...\
Why Don't Rabbits Rule the World: https://amzn.to/4h3yWhJ\
Maths: 100 Ideas in 100 Words: https://amzn.to/3RIpB4n

Patreon: http://www.patreon.com/numberphile

Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet

We are also grateful for support from the Ben Delo Foundation - https://delo.org/

NUMBERPHILE\
Website: http://www.numberphile.com/

Videos by Brady Haran

Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile

Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/

Brady's latest videos across all channels: http://www.bradyharanblog.com/

Sign up for (occasional) emails: http://eepurl.com/YdjL9