{"page":"<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" />\n<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" />\n<div data-title='Primes on the Moon (Lunar Arithmetic) - Numberphile' data-url='/boclips/videos/5c670ad77bf8010001815a39' data-video-url='/boclips/videos/5c670ad77bf8010001815a39' id='bo_player_modal'>\n<div class='boclips-resource-page modal-dialog panel-container'>\n<div class='react-notifications-root'></div>\n<div class='rp-header'>\n<div class='rp-type'>\n<i aria-hidden='true' class='fai fa-regular fa-circle-play'></i>\nVideo\n</div>\n<h1 class='rp-title' id='video-title'>\nPrimes on the Moon (Lunar Arithmetic) - Numberphile\n</h1>\n<div class='rp-actions'>\n<div class='mr-1'>\n<a class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"><span><span>Get Free Access</span><span class=\"\"> for 10 Days</span><span>!</span></span></a>\n</div>\n</div>\n</div>\n<div class='rp-body'>\n<div class='rp-info'>\n<div aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'>&times;</div>\n<i aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'></i>\n<i aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'></i>\n<div class='rp-rating'>\n<span class='resource-pool'>\n<span class='pool-label'>Publisher:</span>\n<span class='pool-name'>\n<span class='text'><a data-publisher-id=\"30358509\" href=\"/search?publisher_ids%5B%5D=30358509\">Numberphile</a></span>\n</span>\n</span>\n</div>\n<div class='rp-description'>\n<span class='short-description'>Featuring Neil Sloane from the Online Encyclopedia of Integer Sequences (OEIS). Lunar Arithmetic (aka Dismal Arithmetic) More links &amp; stuff in full description below ↓↓↓ Neil Sloane is the founder of the OEIS Lunar Primes Lunar...</span>\n<span class='full-description hide'>Featuring Neil Sloane from the Online Encyclopedia of Integer Sequences (OEIS). Lunar Arithmetic (aka Dismal Arithmetic) More links & stuff in full description below ↓↓↓ Neil Sloane is the founder of the <a href='https://oeis.org' target='_blank' rel='nofollow'>OEIS</a> Lunar <a href='https://oeis.org/A087097' target='_blank' rel='nofollow'>Primes</a> Lunar <a href='https://oeis.org/A087019' target='_blank' rel='nofollow'>Squares</a> The original paper on lunar arithmetic (formerly dismal arithmetic) by David Applegate, Marc LeBrun, and Neil <a href='https://cs.uwaterloo.ca/journals/JIS/VOL14/Sloane/carry2.pdf' target='_blank' rel='nofollow'>Sloane</a> Sloane's <a href='https://youtu.be/_YysNM2JoFo' target='_blank' rel='nofollow'>Gap</a> Six <a href='https://youtu.be/VDD6FDhKCYA' target='_blank' rel='nofollow'>Sequences</a> Numberphile is supported by the Mathematical Sciences Research Institute (<a href='http://bit.ly/MSRINumberphile' target='_blank' rel='nofollow'>MSRI)</a> We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of <a href='https://www.simonsfoundation.org/outreach/science-sandbox/' target='_blank' rel='nofollow'>science.</a> And support from Math For <a href='https://www.mathforamerica.org/' target='_blank' rel='nofollow'>America -</a> NUMBERPHILE <a href='http://www.numberphile.com/' target='_blank' rel='nofollow'>Website</a> Numberphile on <a href='http://www.facebook.com/numberphile' target='_blank' rel='nofollow'>Facebook</a> Numberphile <a href='https://twitter.com/numberphile' target='_blank' rel='nofollow'>tweets</a> <a href='http://bit.ly/Numberphile_Sub' target='_blank' rel='nofollow'>Subscribe</a> Videos by Brady Haran <a href='http://www.patreon.com/numberphile' target='_blank' rel='nofollow'>Patreon</a> Numberphile T-<a href='https://teespring.com/stores/numberphile' target='_blank' rel='nofollow'>Shirts</a> Brady's videos <a href='http://www.reddit.com/r/BradyHaran/' target='_blank' rel='nofollow'>subreddit</a> Brady's latest videos across all <a href='http://www.bradyharanblog.com/' target='_blank' rel='nofollow'>channels</a> Sign up for (occasional) <a href='http://eepurl.com/YdjL9' target='_blank' rel='nofollow'>emails</a> ---------------- 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? And if you think this is just child's play - read the <a href='https://cs.uwaterloo.ca/journals/JIS/VOL14/Sloane/carry2.pdf' target='_blank' rel='nofollow'>paper</a></span>\n</div>\n<div class='action-container flex justify-between'>\n<button aria-expanded='false' aria-label='Read more description' class='rp-full-description' type='button'>\n<i class='fai fa-solid fa-align-left'></i>\n<span id='read_more'>Read More</span>\n</button>\n<div class='rp-report'>\n</div>\n</div>\n<div aria-labelledby='resource-details-heading' class='rp-info-section'>\n<h2 class='title' id='resource-details-heading'>Resource Details</h2>\n<div class='rp-resource-details clearfix'>\n<div class='detail'>\n<dl>\n<dt>Curator Rating</dt>\n<dd><span class=\"star-rating\" aria-label=\"4.0 out of 5 stars\" role=\"img\"><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-regular fa-star text-action\" aria-hidden=\"true\"></i></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt class=\"educator-rating-title\">Educator Rating</dt><dd><div class=\"educator-rating-details\" data-path=\"/educator_ratings/rrp_data?resourceable_id=94935&amp;resourceable_type=Boclips%3A%3AVideoMetadata\"><span class=\"not-yet-rated\">Not yet Rated</span></div></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Grade</dt><dd title=\"Grade\">6th - 11th</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Subjects</dt><dd><span><a href=\"/search?keywords=logical+sequence+of+events&amp;page=2&amp;search_tab_id=1&amp;subject_ids%5B%5D=1216220\">All Subjects</a></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Media Type</dt><dd><span><a href=\"/search?keywords=logical+sequence+of+events&amp;page=2&amp;search_tab_id=2&amp;type_ids%5B%5D=4543647\">Instructional Videos</a></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Source:</dt>\n<dd></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Date</dt>\n<dd>2019</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<i aria-hidden='true' class='fai fa-solid fa-language'></i>\n\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Audiences</dt><dd><span><a href=\"/search?audience_ids%5B%5D=371079&amp;keywords=logical+sequence+of+events&amp;page=2&amp;search_tab_id=1\">For Teacher Use</a></span></dd><dd class=\"text-muted\"><i class=\"fa-solid fa-lock mr5\"></i>2 more...</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n\n</dl>\n</div>\n</div>\n</div>\n<div aria-labelledby='educator-ratings-heading' class='rp-info-section'>\n<h2 class='title sr-only' id='educator-ratings-heading'>Educator Ratings</h2>\n<div id=\"educator-ratings-root\"></div><div id=\"all-educator-ratings-root\"></div><div id=\"educator-rating-form-root\"></div>\n</div>\n</div>\n<div class='rp-resource'>\n<div aria-label='Show resource details' class='rp-show-info' role='button' tabindex='0'>\n<i class='fai fa-solid fa-align-left'></i>\nShow resource details\n</div>\n<div aria-label='Video player' class='player' id='player-wrapper' role='region'>\n<div class='relative container mx-auto' id='lp-boclips-visitor-thumbnail'>\n<a class=\"block\" data-html=\"true\" data-placement=\"bottom\" data-trigger=\"click\" data-content=\"<div class=&quot;text-center py-2&quot;><a class=&quot;bold&quot; href=&quot;/auth/users/sign_in&quot;>Sign in</a> or <a class=&quot;bold text-danger&quot; data-posthog-event=&quot;Signup: LP Signup Activity&quot; data-posthog-location=&quot;body_link_boclips&quot; data-remote=&quot;true&quot; href=&quot;/subscription/new&quot;>Join Now</a></div>\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Primes on the Moon (Lunar Arithmetic) - Numberphile\" href=\"/subscription/new\"><img class=\"resource-img img-thumbnail img-responsive z-10 lp-boclips-thumbnail w-full h-full lozad\" alt=\"Primes on the Moon (Lunar Arithmetic) - Numberphile\" title=\"Primes on the Moon (Lunar Arithmetic) - Numberphile\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n<span aria-hidden='true' class='flex justify-center items-center bg-white rounded-full w-16 h-16 absolute top-1/2 left-1/2 -mt-8 -ml-8 cursor-pointer z-0 border-2 border-primary drop-shadow-md lp-boclips-thumbnail-playBtn'>\n<i class='fa-solid fa-play text-primary text-3xl ml-1 drop-shadow-xl'></i>\n</span>\n</a></div>\n</div>\n</div>\n</div>\n</div>\n</div>\n"}