---
title: The Biggest Gaps Between Primes - Numberphile
link: https://www.youtube.com/watch?v=oax6t6Of2WY
source: youtube-com-numberphile
published: 2026-09-16T09:44:00Z
updated: 2026-09-16T09:48:01Z
first_seen: 2026-09-16T12:34:41.573570019Z
authors:
- Numberphile
summary: |-
  Ben Sparks on why the gaps between primes can be as large as you imagine... More links & stuff in full description below ↓↓↓

  Support us on Patreon: http://www.patreon.com/numberphile

  See our playlist of videos about prime numbers - https://www.youtube.com/playlist?list=PL0D0BD149128BB06F
  Including this video which has previously covered the large gaps - https://www.youtube.com/watch?v=BH1GMGDYndo

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

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

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

  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
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---

Ben Sparks on why the gaps between primes can be as large as you imagine... More links & stuff in full description below ↓↓↓

Support us on Patreon: http://www.patreon.com/numberphile

See our playlist of videos about prime numbers - https://www.youtube.com/playlist?list=PL0D0BD149128BB06F\
Including this video which has previously covered the large gaps - https://www.youtube.com/watch?v=BH1GMGDYndo

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

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

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

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