{"page":"\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" /\u003e\n\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" /\u003e\n\u003cdiv data-title='Primes on the Moon (Lunar Arithmetic) - Numberphile' data-url='/boclips/videos/5c670ad77bf8010001815a39' data-video-url='/boclips/videos/5c670ad77bf8010001815a39' id='bo_player_modal'\u003e\n\u003cdiv class='boclips-resource-page modal-dialog panel-container'\u003e\n\u003cdiv class='react-notifications-root'\u003e\u003c/div\u003e\n\u003cdiv class='rp-header'\u003e\n\u003cdiv class='rp-type'\u003e\n\u003ci aria-hidden='true' class='fai fa-regular fa-circle-play'\u003e\u003c/i\u003e\nVideo\n\u003c/div\u003e\n\u003ch1 class='rp-title' id='video-title'\u003e\nPrimes on the Moon (Lunar Arithmetic) - Numberphile\n\u003c/h1\u003e\n\u003cdiv class='rp-actions'\u003e\n\u003cdiv class='mr-1'\u003e\n\u003ca class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"\u003e\u003cspan\u003e\u003cspan\u003eGet Free Access\u003c/span\u003e\u003cspan class=\"\"\u003e for 10 Days\u003c/span\u003e\u003cspan\u003e!\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-body'\u003e\n\u003cdiv class='rp-info'\u003e\n\u003cdiv aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'\u003e\u0026times;\u003c/div\u003e\n\u003ci aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003ci aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003cdiv class='rp-rating'\u003e\n\u003cspan class='resource-pool'\u003e\n\u003cspan class='pool-label'\u003ePublisher:\u003c/span\u003e\n\u003cspan class='pool-name'\u003e\n\u003cspan class='text'\u003e\u003ca data-publisher-id=\"30358509\" href=\"/search?publisher_ids%5B%5D=30358509\"\u003eNumberphile\u003c/a\u003e\u003c/span\u003e\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-description'\u003e\n\u003cspan class='short-description'\u003eFeaturing Neil Sloane from the Online Encyclopedia of Integer Sequences (OEIS). Lunar Arithmetic (aka Dismal Arithmetic) More links \u0026amp; stuff in full description below ↓↓↓ Neil Sloane is the founder of the OEIS Lunar Primes Lunar...\u003c/span\u003e\n\u003cspan class='full-description hide'\u003eFeaturing Neil Sloane from the Online Encyclopedia of Integer Sequences (OEIS). Lunar Arithmetic (aka Dismal Arithmetic) More links \u0026 stuff in full description below ↓↓↓ Neil Sloane is the founder of the \u003ca href='https://oeis.org' target='_blank' rel='nofollow'\u003eOEIS\u003c/a\u003e Lunar \u003ca href='https://oeis.org/A087097' target='_blank' rel='nofollow'\u003ePrimes\u003c/a\u003e Lunar \u003ca href='https://oeis.org/A087019' target='_blank' rel='nofollow'\u003eSquares\u003c/a\u003e The original paper on lunar arithmetic (formerly dismal arithmetic) by David Applegate, Marc LeBrun, and Neil \u003ca href='https://cs.uwaterloo.ca/journals/JIS/VOL14/Sloane/carry2.pdf' target='_blank' rel='nofollow'\u003eSloane\u003c/a\u003e Sloane's \u003ca href='https://youtu.be/_YysNM2JoFo' target='_blank' rel='nofollow'\u003eGap\u003c/a\u003e Six \u003ca href='https://youtu.be/VDD6FDhKCYA' target='_blank' rel='nofollow'\u003eSequences\u003c/a\u003e Numberphile is supported by the Mathematical Sciences Research Institute (\u003ca href='http://bit.ly/MSRINumberphile' target='_blank' rel='nofollow'\u003eMSRI)\u003c/a\u003e We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of \u003ca href='https://www.simonsfoundation.org/outreach/science-sandbox/' target='_blank' rel='nofollow'\u003escience.\u003c/a\u003e And support from Math For \u003ca href='https://www.mathforamerica.org/' target='_blank' rel='nofollow'\u003eAmerica -\u003c/a\u003e NUMBERPHILE \u003ca href='http://www.numberphile.com/' target='_blank' rel='nofollow'\u003eWebsite\u003c/a\u003e Numberphile on \u003ca href='http://www.facebook.com/numberphile' target='_blank' rel='nofollow'\u003eFacebook\u003c/a\u003e Numberphile \u003ca href='https://twitter.com/numberphile' target='_blank' rel='nofollow'\u003etweets\u003c/a\u003e \u003ca href='http://bit.ly/Numberphile_Sub' target='_blank' rel='nofollow'\u003eSubscribe\u003c/a\u003e Videos by Brady Haran \u003ca href='http://www.patreon.com/numberphile' target='_blank' rel='nofollow'\u003ePatreon\u003c/a\u003e Numberphile T-\u003ca href='https://teespring.com/stores/numberphile' target='_blank' rel='nofollow'\u003eShirts\u003c/a\u003e Brady's videos \u003ca href='http://www.reddit.com/r/BradyHaran/' target='_blank' rel='nofollow'\u003esubreddit\u003c/a\u003e Brady's latest videos across all \u003ca href='http://www.bradyharanblog.com/' target='_blank' rel='nofollow'\u003echannels\u003c/a\u003e Sign up for (occasional) \u003ca href='http://eepurl.com/YdjL9' target='_blank' rel='nofollow'\u003eemails\u003c/a\u003e ---------------- As expected many people ask \"what is the point of this\"... And fair enough. Rather than answering everyone individually, here is my view (I am just the film-maker, not a mathematician) - Brady ↓↓↓ 1. Because it is fun and creative - and playing with new ideas is good for your brain. 2. Because you never know what \"bending the rules\" will teach you - what techniques, insights and breakthroughs will occur that may have more useful applications... Just look at much of John Conway's work... So much playfulness and so many games - yet many ideas and insightful mathematics has fallen out of that. Lunar arithmetic is never going to be used to build a bridge or design an iPhone (I certainly hope not!!!)... But neither is it just throwing ALL rules out of the window... It is creating a new arbitrary set of rules and seeing what happens... What IS a prime number in this new landscape? What pattern do the squares follow? And what light might that shed on more conventional mathematics? Also... If you are not buying that and think it's just nonsensical playing... I say the following... It may be true that this will not cure cancer or help people live longer - but what is the point of living longer if we can't play, imagine, and do fun stuff like this? 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