100000001 is divisible by 17 - Numberphile

Featuring Matt Parker. Learn for free on Brilliant (and get 20% off a premium subscription) at https://brilliant.org/numberphile (episode sponsor). Extended footnote and other links in full description below ↓↓↓ Extra clips and outtakes from this video on our Patreon -   / 145064106   Matt Parker books - https://mathsgear.co.uk/collections/b... And Matt's books on Amazon - https://amzn.to/4rK4j3C Penguin UK: https://www.penguin.co.uk/authors/776... Penguin Random House US: https://www.penguinrandomhouse.com/au... Matt Parker - https://standupmaths.com/ Matt's YouTube channel (standupmaths) -    / standupmaths   More Matt on Numberphile -    • Matt Parker (standupmaths) on Numberphile   FOOTNOTE TO THIS VIDEO I contacted Wilfrid Keller after filming about his retired website, and he replied with the following... "I am delighted by your interest in the topic of 'Prime factors of generalized Fermat numbers Fm(10) and complete factoring status'. The (constantly updated) webpage with exactly this title is still available at http://www.prothsearch.com/GFN10.html (only the Internet domain has changed to http://www.prothsearch.com/ about nine years ago). Some remarkable results have been achieved in the meantime. The largest prime factor currently known of a number Fm(10) has 4666663 digits (you might also have a look at https://t5k.org/top20/page.php?id=10 ), and large prime factors for m = 14 or 15 are likewise exceptional. May I point out that similar "factoring status" pages are also maintained for bases a = 3, 5, 6, 7, 11, 12 at http://www.prothsearch.com/ " Patreon:   / 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/ Video by Brady Haran and Pete McPartlan Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit:   / bradyharan   Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9