{"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='The Prime Problem with a One Sentence Proof - Numberphile' data-url='/boclips/videos/5c670a50350a1b0001a75d56' data-video-url='/boclips/videos/5c670a50350a1b0001a75d56' 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'>\nThe Prime Problem with a One Sentence Proof - 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'>More links &amp; stuff in full description below ↓↓↓ A prime number problem posed by Fermat that has been proved multiple times - including a famous proof using one just sentence. See the next video (proof) at This video features...</span>\n<span class='full-description hide'>More links & stuff in full description below ↓↓↓ A prime number problem posed by Fermat that has been proved multiple times - including a famous proof using one just sentence. See the next video (proof) <a href='https://youtu.be/yGsIw8LHXM8' target='_blank' rel='nofollow'>at</a> This video features Professor Matthias Kreck from the University of Bonn. See him discuss wobbly <a href='https://youtu.be/OuF-WB7mD6k' target='_blank' rel='nofollow'>tables</a> Prime Number <a href='http://bit.ly/primevids' target='_blank' rel='nofollow'>Videos</a> Support us on <a href='http://www.patreon.com/numberphile' target='_blank' rel='nofollow'>Patreon</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> Numberphile is supported by the Mathematical Sciences Research Institute (<a href='http://bit.ly/MSRINumberphile' target='_blank' rel='nofollow'>MSRI)</a> Videos by Brady Haran 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> Numberphile T-<a href='https://teespring.com/stores/numberphile' target='_blank' rel='nofollow'>Shirts</a> Other <a href='https://store.dftba.com/collections/numberphile' target='_blank' rel='nofollow'>merchandise</a> Hey, why did you make this two videos and not just one? Because two videos would have been very long and deterred casual viewers from even learning about the problem. Makes more sense to make a video which describes the problem and the solution, plus its history and the fact a one sentence proof exists... then have a more technical second video for people who want to see the proof itself. I have made links to the second video as clear as possible and I suspect more technical fans subscribe to Numberphile2 anyway. Correction: At 4:08 the number at the bottom should be the prime 23, not 22...</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=95066&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=changes+in+matter+activities&amp;page=40&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=changes+in+matter+activities&amp;page=40&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=changes+in+matter+activities&amp;page=40&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: The Prime Problem with a One Sentence Proof - Numberphile\" href=\"/subscription/new\"><img class=\"resource-img img-thumbnail img-responsive z-10 lp-boclips-thumbnail w-full h-full lozad\" alt=\"The Prime Problem with a One Sentence Proof - Numberphile\" title=\"The Prime Problem with a One Sentence Proof - 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"}