https://www.explainxkcd.com/wiki/index.php?title=2689:_Fermat%27s_First_Theorem&feed=atom&action=history2689: Fermat's First Theorem - Revision history2024-03-28T16:53:23ZRevision history for this page on the wikiMediaWiki 1.30.0https://www.explainxkcd.com/wiki/index.php?title=2689:_Fermat%27s_First_Theorem&diff=323688&oldid=prevJkshapiro: /* Explanation */ Omit needless words2023-09-12T02:10:43Z<p><span dir="auto"><span class="autocomment">Explanation: </span> Omit needless words</span></p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 02:10, 12 September 2023</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The young Fermat here didn't try to prove the mathematical equation, but simply tried to read it as words, treating the "+" sign as a "t" so that "A<sup>N</sup>+" can be read as "ANT". His interpretation was quickly disproved because there's no "A" between "B" and "C", and no "O" between "C" and "N".  It's unclear if this is considered Fermat's First Theorem because it was the first he made, or because it was the first to be conclusively disproved.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The young Fermat here didn't try to prove the mathematical equation, but simply tried to read it as words, treating the "+" sign as a "t" so that "A<sup>N</sup>+" can be read as "ANT". His interpretation was quickly disproved because there's no "A" between "B" and "C", and no "O" between "C" and "N".  It's unclear if this is considered Fermat's First Theorem because it was the first he made, or because it was the first to be conclusively disproved.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>In the title text, the "words" are "ANT BNECN", treating the equals sign "=" as an "E"; while "=" doesn't look especially close to "E", it is similar in that it contains horizontal bars in a horizontally symmetrical arrangement <del class="diffchange diffchange-inline">(and of course, it can be read as "equals", which begins with "E"). If the letter E is written in sans-serif block text in white on a black background, the "negative space" between the Upper Bar, the Middle Bar and the Lower Bar of the E form a =. The comic shows a blackboard with white letters</del>. The text then references Wiles, asserting that he proved this modified form of Fermat's First Theorem as well by cooking this "ant bnecn" (whatever "bnecn" is) as breakfast.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>In the title text, the "words" are "ANT BNECN", treating the equals sign "=" as an "E"; while "=" doesn't look especially close to "E", it is similar in that it contains horizontal bars in a horizontally symmetrical arrangement. The text then references Wiles, asserting that he proved this modified form of Fermat's First Theorem as well by cooking this "ant bnecn" (whatever "bnecn" is) as breakfast.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[2492: Commonly Mispronounced Equations]] also contains equations pronounced as if they were words in the ordinary sense.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[2492: Commonly Mispronounced Equations]] also contains equations pronounced as if they were words in the ordinary sense.</div></td></tr>
</table>Jkshapirohttps://www.explainxkcd.com/wiki/index.php?title=2689:_Fermat%27s_First_Theorem&diff=300454&oldid=prevTheusafBOT: Reverted edit 300453 by 172.71.142.7 to 3003382022-12-03T23:42:01Z<p>Reverted edit 300453 by <a href="/wiki/index.php/Special:Contributions/172.71.142.7" title="Special:Contributions/172.71.142.7">172.71.142.7</a> to 300338</p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| titletext = Mathematicians quickly determined that it spells ANT BNECN, an unusual theoretical dish which was not successfully cooked until Andrew Wiles made it for breakfast in the 1990s.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| titletext = Mathematicians quickly determined that it spells ANT BNECN, an unusual theoretical dish which was not successfully cooked until Andrew Wiles made it for breakfast in the 1990s.</div></td></tr>
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<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">WARCjak says 'jaks deserve rights on the 'iki too</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td></tr>
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</table>TheusafBOThttps://www.explainxkcd.com/wiki/index.php?title=2689:_Fermat%27s_First_Theorem&diff=300453&oldid=prev172.71.142.7 at 23:42, 3 December 20222022-12-03T23:42:00Z<p></p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 23:42, 3 December 2022</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| titletext = Mathematicians quickly determined that it spells ANT BNECN, an unusual theoretical dish which was not successfully cooked until Andrew Wiles made it for breakfast in the 1990s.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>| titletext = Mathematicians quickly determined that it spells ANT BNECN, an unusual theoretical dish which was not successfully cooked until Andrew Wiles made it for breakfast in the 1990s.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">[[File:WARC Screaming Man Logo.svg]]</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">WARCjak says 'jaks deserve rights on the 'iki too</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td></tr>
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</table>172.71.142.7https://www.explainxkcd.com/wiki/index.php?title=2689:_Fermat%27s_First_Theorem&diff=300338&oldid=prevTheusaf: Reverted edits by 172.71.151.39 (talk) to last revision by Beret2022-12-03T22:51:14Z<p>Reverted edits by <a href="/wiki/index.php/Special:Contributions/172.71.151.39" title="Special:Contributions/172.71.151.39">172.71.151.39</a> (<a href="/wiki/index.php?title=User_talk:172.71.151.39&action=edit&redlink=1" class="new" title="User talk:172.71.151.39 (page does not exist)">talk</a>) to last revision by <a href="/wiki/index.php?title=User:Beret&action=edit&redlink=1" class="new" title="User:Beret (page does not exist)">Beret</a></p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">I was at Walmart the other day when I saw Randall Munroe</del>. <del class="diffchange diffchange-inline">I</del>'<del class="diffchange diffchange-inline">m not sure what he was doing there</del>, <del class="diffchange diffchange-inline">but he seemed to be looking </del>for <del class="diffchange diffchange-inline">something</del>. <del class="diffchange diffchange-inline">I tried </del>to <del class="diffchange diffchange-inline">avoid him, but he suddenly turned and looked at me</del>. <del class="diffchange diffchange-inline">His eyes were cold </del>and <del class="diffchange diffchange-inline">lifeless, like a doll</del>'s. <del class="diffchange diffchange-inline">I tried to walk away</del>, <del class="diffchange diffchange-inline">but he followed me</del>. <del class="diffchange diffchange-inline">I could feel </del>his <del class="diffchange diffchange-inline">eyes on me</del>, <del class="diffchange diffchange-inline">boring into </del>the <del class="diffchange diffchange-inline">back </del>of <del class="diffchange diffchange-inline">my head</del>. <del class="diffchange diffchange-inline">I quickened my pace</del>, but <del class="diffchange diffchange-inline">he matched </del>it. <del class="diffchange diffchange-inline">I </del>was <del class="diffchange diffchange-inline">about to turn </del>and <del class="diffchange diffchange-inline">run when </del>he <del class="diffchange diffchange-inline">suddenly grabbed my arm. His grip </del>was <del class="diffchange diffchange-inline">like iron</del>. <del class="diffchange diffchange-inline">I tried to pull away</del>, <del class="diffchange diffchange-inline">but I couldn</del>'t<del class="diffchange diffchange-inline">. He stared at me with those cold</del>, <del class="diffchange diffchange-inline">dead eyes </del>and <del class="diffchange diffchange-inline">said</del>, "<del class="diffchange diffchange-inline">I know what you did.</del>" <del class="diffchange diffchange-inline">I didn't know what he was talking about</del>, <del class="diffchange diffchange-inline">but I could see </del>the <del class="diffchange diffchange-inline">madness </del>in <del class="diffchange diffchange-inline">his eyes. I tried to pull away again</del>, <del class="diffchange diffchange-inline">but he tightened his grip</del>. <del class="diffchange diffchange-inline">I could feel his fingers digging into my skin</del>. <del class="diffchange diffchange-inline">I was about to scream when he gave me a sly grin </del>then <del class="diffchange diffchange-inline">suddenly let go and walked away</del>, <del class="diffchange diffchange-inline">chuckling to himself</del>. <del class="diffchange diffchange-inline">I turned and ran </del>the <del class="diffchange diffchange-inline">other way, not looking back. I don't know what he was talking about, but I know I never want to see him again</del>.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child</ins>. <ins class="diffchange diffchange-inline">Fermat's Last Theorem states that no three positive integers ''a'', ''b'</ins>', <ins class="diffchange diffchange-inline">and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> </ins>for <ins class="diffchange diffchange-inline">any integer value of ''n'' greater than 2</ins>. <ins class="diffchange diffchange-inline">It is notable for having remained unproved for hundreds of years, despite many attempts </ins>to <ins class="diffchange diffchange-inline">prove it; it's called his 'last' theorem because it was the last one left without proof or disproof</ins>. <ins class="diffchange diffchange-inline">The Taniyama–Shimura conjecture (now known as the Modularity theorem) </ins>and <ins class="diffchange diffchange-inline">the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat</ins>'s <ins class="diffchange diffchange-inline">Last Theorem is true</ins>. <ins class="diffchange diffchange-inline">The epsilon conjecture, proposed by Jean-Pierre Serre</ins>, <ins class="diffchange diffchange-inline">became provable thanks to Ken Ribet in 1986</ins>. <ins class="diffchange diffchange-inline"> {{w|Andrew Wiles}}, with assistance from </ins>his <ins class="diffchange diffchange-inline">former student {{w|Richard Taylor (mathematician)|Richard Taylor}}, succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995</ins>, <ins class="diffchange diffchange-inline">which finally established </ins>the <ins class="diffchange diffchange-inline">proof </ins>of <ins class="diffchange diffchange-inline">Fermat's Last Theorem. (The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, and Christophe Breuil in 2001</ins>.<ins class="diffchange diffchange-inline">)</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">The young Fermat here didn't try to prove the mathematical equation</ins>, but <ins class="diffchange diffchange-inline">simply tried to read </ins>it <ins class="diffchange diffchange-inline">as words, treating the "+" sign as a "t" so that "A<sup>N</sup>+" can be read as "ANT"</ins>. <ins class="diffchange diffchange-inline">His interpretation </ins>was <ins class="diffchange diffchange-inline">quickly disproved because there's no "A" between "B" and "C", and no "O" between "C" </ins>and <ins class="diffchange diffchange-inline">"N".  It's unclear if this is considered Fermat's First Theorem because it was the first </ins>he <ins class="diffchange diffchange-inline">made, or because it </ins>was <ins class="diffchange diffchange-inline">the first to be conclusively disproved</ins>.</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">In the title text, the "words" are "ANT BNECN"</ins>, <ins class="diffchange diffchange-inline">treating the equals sign "=" as an "E"; while "=" doesn</ins>'t <ins class="diffchange diffchange-inline">look especially close to "E"</ins>, <ins class="diffchange diffchange-inline">it is similar in that it contains horizontal bars in a horizontally symmetrical arrangement (</ins>and <ins class="diffchange diffchange-inline">of course</ins>, <ins class="diffchange diffchange-inline">it can be read as </ins>"<ins class="diffchange diffchange-inline">equals</ins>", <ins class="diffchange diffchange-inline">which begins with "E"). If </ins>the <ins class="diffchange diffchange-inline">letter E is written in sans-serif block text </ins>in <ins class="diffchange diffchange-inline">white on a black background, the "negative space" between the Upper Bar</ins>, <ins class="diffchange diffchange-inline">the Middle Bar and the Lower Bar of the E form a =</ins>. <ins class="diffchange diffchange-inline">The comic shows a blackboard with white letters</ins>. <ins class="diffchange diffchange-inline">The text </ins>then <ins class="diffchange diffchange-inline">references Wiles</ins>, <ins class="diffchange diffchange-inline">asserting that he proved this modified form of Fermat's First Theorem as well by cooking this "ant bnecn" (whatever "bnecn" is) as breakfast</ins>.</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">[[2492: Commonly Mispronounced Equations]] also contains equations pronounced as if they were words in </ins>the <ins class="diffchange diffchange-inline">ordinary sense</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Transcript==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Transcript==</div></td></tr>
</table>Theusafhttps://www.explainxkcd.com/wiki/index.php?title=2689:_Fermat%27s_First_Theorem&diff=300333&oldid=prev172.71.151.39 at 22:47, 3 December 20222022-12-03T22:47:21Z<p></p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">I was at Walmart the other day when I saw Randall Munroe</ins>. <ins class="diffchange diffchange-inline">I</ins>'<ins class="diffchange diffchange-inline">m not sure what he was doing there</ins>, <ins class="diffchange diffchange-inline">but he seemed to be looking </ins>for <ins class="diffchange diffchange-inline">something</ins>. <ins class="diffchange diffchange-inline">I tried to avoid him</ins>, <ins class="diffchange diffchange-inline">but he suddenly turned and looked at me</ins>. <ins class="diffchange diffchange-inline">His eyes were cold </ins>and <ins class="diffchange diffchange-inline">lifeless, like a doll</ins>'s. <ins class="diffchange diffchange-inline">I tried to walk away</ins>, <ins class="diffchange diffchange-inline">but he followed me</ins>. <ins class="diffchange diffchange-inline">I could feel </ins>his <ins class="diffchange diffchange-inline">eyes on me</ins>, <ins class="diffchange diffchange-inline">boring into </ins>the <ins class="diffchange diffchange-inline">back </ins>of <ins class="diffchange diffchange-inline">my head</ins>. <ins class="diffchange diffchange-inline">I quickened my pace</ins>, <ins class="diffchange diffchange-inline">but he matched it</ins>. <ins class="diffchange diffchange-inline">I was about </ins>to <ins class="diffchange diffchange-inline">turn and run when he suddenly grabbed my arm. His grip was like iron. I </ins>tried to <ins class="diffchange diffchange-inline">pull away</ins>, <ins class="diffchange diffchange-inline">but I couldn'</ins>t. <ins class="diffchange diffchange-inline">He stared at me with those cold, dead eyes </ins>and <ins class="diffchange diffchange-inline">said</ins>, "<ins class="diffchange diffchange-inline">I know what you did.</ins>" <ins class="diffchange diffchange-inline">I didn</ins>'<ins class="diffchange diffchange-inline">t know what he </ins>was <ins class="diffchange diffchange-inline">talking about</ins>, <ins class="diffchange diffchange-inline">but I could see </ins>the <ins class="diffchange diffchange-inline">madness in his eyes. I tried </ins>to <ins class="diffchange diffchange-inline">pull away again, but he tightened his grip. I could feel his fingers digging into my skin</ins>. <ins class="diffchange diffchange-inline">I was about </ins>to <ins class="diffchange diffchange-inline">scream when he gave me </ins>a <ins class="diffchange diffchange-inline">sly grin then suddenly let go </ins>and <ins class="diffchange diffchange-inline">walked away</ins>, <ins class="diffchange diffchange-inline">chuckling to himself</ins>. <ins class="diffchange diffchange-inline">I turned and ran </ins>the <ins class="diffchange diffchange-inline">other way</ins>, <ins class="diffchange diffchange-inline">not looking back</ins>. <ins class="diffchange diffchange-inline">I don't know what he was talking about</ins>, <ins class="diffchange diffchange-inline">but I know I never want to see him again</ins>.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child</del>. <del class="diffchange diffchange-inline">Fermat's Last Theorem states that no three positive integers ''a'</del>', <del class="diffchange diffchange-inline">''b'', and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> </del>for <del class="diffchange diffchange-inline">any integer value of ''n'' greater than 2</del>. <del class="diffchange diffchange-inline">It is notable for having remained unproved for hundreds of years</del>, <del class="diffchange diffchange-inline">despite many attempts to prove it; it's called his 'last' theorem because it was the last one left without proof or disproof</del>. <del class="diffchange diffchange-inline">The Taniyama–Shimura conjecture (now known as the Modularity theorem) </del>and <del class="diffchange diffchange-inline">the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat</del>'s <del class="diffchange diffchange-inline">Last Theorem is true</del>. <del class="diffchange diffchange-inline">The epsilon conjecture</del>, <del class="diffchange diffchange-inline">proposed by Jean-Pierre Serre, became provable thanks to Ken Ribet in 1986</del>. <del class="diffchange diffchange-inline"> {{w|Andrew Wiles}}, with assistance from </del>his <del class="diffchange diffchange-inline">former student {{w|Richard Taylor (mathematician)|Richard Taylor}}</del>, <del class="diffchange diffchange-inline">succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995, which finally established </del>the <del class="diffchange diffchange-inline">proof </del>of <del class="diffchange diffchange-inline">Fermat's Last Theorem</del>. <del class="diffchange diffchange-inline">(The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad</del>,<del class="diffchange diffchange-inline"> Fred Diamond and Richard Taylor, and Christophe Breuil in 2001</del>.<del class="diffchange diffchange-inline">)</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">The young Fermat here didn't try </del>to <del class="diffchange diffchange-inline">prove the mathematical equation, but simply </del>tried to <del class="diffchange diffchange-inline">read it as words</del>, <del class="diffchange diffchange-inline">treating the "+" sign as a "</del>t<del class="diffchange diffchange-inline">" so that "A<sup>N</sup>+" can be read as "ANT"</del>. <del class="diffchange diffchange-inline">His interpretation was quickly disproved because there's no "A" between "B" </del>and <del class="diffchange diffchange-inline">"C"</del>, <del class="diffchange diffchange-inline">and no </del>"<del class="diffchange diffchange-inline">O</del>" <del class="diffchange diffchange-inline">between "C" and "N".  It</del>'<del class="diffchange diffchange-inline">s unclear if this is considered Fermat's First Theorem because it </del>was <del class="diffchange diffchange-inline">the first he made</del>, <del class="diffchange diffchange-inline">or because it was </del>the <del class="diffchange diffchange-inline">first </del>to <del class="diffchange diffchange-inline">be conclusively disproved</del>.</div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">In the title text, the "words" are "ANT BNECN", treating the equals sign "=" as an "E"; while "=" doesn't look especially close </del>to <del class="diffchange diffchange-inline">"E", it is similar in that it contains horizontal bars in </del>a <del class="diffchange diffchange-inline">horizontally symmetrical arrangement (</del>and <del class="diffchange diffchange-inline">of course</del>, <del class="diffchange diffchange-inline">it can be read as "equals", which begins with "E")</del>. <del class="diffchange diffchange-inline">If </del>the <del class="diffchange diffchange-inline">letter E is written in sans-serif block text in white on a black background</del>, <del class="diffchange diffchange-inline">the "negative space" between the Upper Bar, the Middle Bar and the Lower Bar of the E form a =</del>. <del class="diffchange diffchange-inline">The comic shows a blackboard with white letters. The text then references Wiles</del>, <del class="diffchange diffchange-inline">asserting that he proved this modified form of Fermat's First Theorem as well by cooking this "ant bnecn" (whatever "bnecn" is) as breakfast.</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">[[2492: Commonly Mispronounced Equations]] also contains equations pronounced as if they were words in the ordinary sense</del>.</div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Transcript==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Transcript==</div></td></tr>
</table>172.71.151.39https://www.explainxkcd.com/wiki/index.php?title=2689:_Fermat%27s_First_Theorem&diff=300138&oldid=prevBeret: Removed incomplete tag2022-12-01T07:51:24Z<p>Removed incomplete tag</p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">{{incomplete|Created by a SPELLING ANT- Make the explanation more clear and put a full explanation for the title text. Do NOT delete this tag too soon.}}</del></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child. Fermat's Last Theorem states that no three positive integers ''a'', ''b'', and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> for any integer value of ''n'' greater than 2. It is notable for having remained unproved for hundreds of years, despite many attempts to prove it; it's called his 'last' theorem because it was the last one left without proof or disproof. The Taniyama–Shimura conjecture (now known as the Modularity theorem) and the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat's Last Theorem is true. The epsilon conjecture, proposed by Jean-Pierre Serre, became provable thanks to Ken Ribet in 1986.  {{w|Andrew Wiles}}, with assistance from his former student {{w|Richard Taylor (mathematician)|Richard Taylor}}, succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995, which finally established the proof of Fermat's Last Theorem. (The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, and Christophe Breuil in 2001.)</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child. Fermat's Last Theorem states that no three positive integers ''a'', ''b'', and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> for any integer value of ''n'' greater than 2. It is notable for having remained unproved for hundreds of years, despite many attempts to prove it; it's called his 'last' theorem because it was the last one left without proof or disproof. The Taniyama–Shimura conjecture (now known as the Modularity theorem) and the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat's Last Theorem is true. The epsilon conjecture, proposed by Jean-Pierre Serre, became provable thanks to Ken Ribet in 1986.  {{w|Andrew Wiles}}, with assistance from his former student {{w|Richard Taylor (mathematician)|Richard Taylor}}, succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995, which finally established the proof of Fermat's Last Theorem. (The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, and Christophe Breuil in 2001.)</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>Berethttps://www.explainxkcd.com/wiki/index.php?title=2689:_Fermat%27s_First_Theorem&diff=297928&oldid=prev172.71.82.41: /* Explanation */2022-11-01T15:50:47Z<p><span dir="auto"><span class="autocomment">Explanation</span></span></p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child. Fermat's Last Theorem states that no three positive integers ''a'', ''b'', and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> for any integer value of ''n'' greater than 2. It is notable for having remained unproved for hundreds of years, despite many attempts to prove it; it's called his 'last' theorem because it was the last one left without proof or disproof. The Taniyama–Shimura conjecture (now known as the Modularity theorem) and the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat's Last Theorem is true. The epsilon conjecture, proposed by Jean-Pierre Serre, became provable thanks to Ken Ribet in 1986.  {{w|Andrew Wiles}}, with assistance from his former student {{w|Richard Taylor (mathematician)|Richard Taylor}}, succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995, which finally established the proof of Fermat's Last Theorem. (The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, and Christophe Breuil in 2001.)</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child. Fermat's Last Theorem states that no three positive integers ''a'', ''b'', and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> for any integer value of ''n'' greater than 2. It is notable for having remained unproved for hundreds of years, despite many attempts to prove it; it's called his 'last' theorem because it was the last one left without proof or disproof. The Taniyama–Shimura conjecture (now known as the Modularity theorem) and the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat's Last Theorem is true. The epsilon conjecture, proposed by Jean-Pierre Serre, became provable thanks to Ken Ribet in 1986.  {{w|Andrew Wiles}}, with assistance from his former student {{w|Richard Taylor (mathematician)|Richard Taylor}}, succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995, which finally established the proof of Fermat's Last Theorem. (The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, and Christophe Breuil in 2001.)</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The young Fermat here didn't try to prove the mathematical equation, but simply tried to read it as words, treating the "+" sign as a "t" so that "A<sup>N</sup>+" can be read as "ANT". His interpretation was quickly disproved because there's no "A" between "B" and "C", and no "O" between "C" and "N".</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The young Fermat here didn't try to prove the mathematical equation, but simply tried to read it as words, treating the "+" sign as a "t" so that "A<sup>N</sup>+" can be read as "ANT". His interpretation was quickly disproved because there's no "A" between "B" and "C", and no "O" between "C" and "N"<ins class="diffchange diffchange-inline">.  It's unclear if this is considered Fermat's First Theorem because it was the first he made, or because it was the first to be conclusively disproved</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>In the title text, the "words" are "ANT BNECN", treating the equals sign "=" as an "E"; while "=" doesn't look especially close to "E", it is similar in that it contains horizontal bars in a horizontally symmetrical arrangement (and of course, it can be read as "equals", which begins with "E"). If the letter E is written in sans-serif block text in white on a black background, the "negative space" between the Upper Bar, the Middle Bar and the Lower Bar of the E form a =. The comic shows a blackboard with white letters. The text then references Wiles, asserting that he proved this modified form of Fermat's First Theorem as well by cooking this "ant bnecn" (whatever "bnecn" is) as breakfast.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>In the title text, the "words" are "ANT BNECN", treating the equals sign "=" as an "E"; while "=" doesn't look especially close to "E", it is similar in that it contains horizontal bars in a horizontally symmetrical arrangement (and of course, it can be read as "equals", which begins with "E"). If the letter E is written in sans-serif block text in white on a black background, the "negative space" between the Upper Bar, the Middle Bar and the Lower Bar of the E form a =. The comic shows a blackboard with white letters. The text then references Wiles, asserting that he proved this modified form of Fermat's First Theorem as well by cooking this "ant bnecn" (whatever "bnecn" is) as breakfast.</div></td></tr>
</table>172.71.82.41https://www.explainxkcd.com/wiki/index.php?title=2689:_Fermat%27s_First_Theorem&diff=297926&oldid=prev172.71.82.41: /* Explanation */2022-11-01T15:48:44Z<p><span dir="auto"><span class="autocomment">Explanation</span></span></p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{incomplete|Created by a SPELLING ANT- Make the explanation more clear and put a full explanation for the title text. Do NOT delete this tag too soon.}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{incomplete|Created by a SPELLING ANT- Make the explanation more clear and put a full explanation for the title text. Do NOT delete this tag too soon.}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child. Fermat's Last Theorem states that no three positive integers ''a'', ''b'', and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> for any integer value of ''n'' greater than 2. It is notable for having remained unproved for hundreds of years, despite many attempts to prove it. The Taniyama–Shimura conjecture (now known as the Modularity theorem) and the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat's Last Theorem is true. The epsilon conjecture, proposed by Jean-Pierre Serre, became provable thanks to Ken Ribet in 1986.  {{w|Andrew Wiles}}, with assistance from his former student {{w|Richard Taylor (mathematician)|Richard Taylor}}, succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995, which finally established the proof of Fermat's Last Theorem. (The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, and Christophe Breuil in 2001.)</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child. Fermat's Last Theorem states that no three positive integers ''a'', ''b'', and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> for any integer value of ''n'' greater than 2. It is notable for having remained unproved for hundreds of years, despite many attempts to prove it<ins class="diffchange diffchange-inline">; it's called his 'last' theorem because it was the last one left without proof or disproof</ins>. The Taniyama–Shimura conjecture (now known as the Modularity theorem) and the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat's Last Theorem is true. The epsilon conjecture, proposed by Jean-Pierre Serre, became provable thanks to Ken Ribet in 1986.  {{w|Andrew Wiles}}, with assistance from his former student {{w|Richard Taylor (mathematician)|Richard Taylor}}, succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995, which finally established the proof of Fermat's Last Theorem. (The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, and Christophe Breuil in 2001.)</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The young Fermat here didn't try to prove the mathematical equation, but simply tried to read it as words, treating the "+" sign as a "t" so that "A<sup>N</sup>+" can be read as "ANT". His interpretation was quickly disproved because there's no "A" between "B" and "C", and no "O" between "C" and "N".</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The young Fermat here didn't try to prove the mathematical equation, but simply tried to read it as words, treating the "+" sign as a "t" so that "A<sup>N</sup>+" can be read as "ANT". His interpretation was quickly disproved because there's no "A" between "B" and "C", and no "O" between "C" and "N".</div></td></tr>
</table>172.71.82.41https://www.explainxkcd.com/wiki/index.php?title=2689:_Fermat%27s_First_Theorem&diff=297791&oldid=prevChar Latte49 at 21:10, 29 October 20222022-10-29T21:10:03Z<p></p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 21:10, 29 October 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10" >Line 10:</td>
<td colspan="2" class="diff-lineno">Line 10:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{incomplete|Created by a SPELLING ANT- <del class="diffchange diffchange-inline">Please change this comment when editing this page</del>. Do NOT delete this tag too soon.}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{incomplete|Created by a SPELLING ANT- <ins class="diffchange diffchange-inline">Make the explanation more clear and put a full explanation for the title text</ins>. Do NOT delete this tag too soon.}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child. Fermat's Last Theorem states that no three positive integers ''a'', ''b'', and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> for any integer value of ''n'' greater than 2. It is notable for having remained unproved for hundreds of years, despite many attempts to prove it. The Taniyama–Shimura conjecture (now known as the Modularity theorem) and the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat's Last Theorem is true. The epsilon conjecture, proposed by Jean-Pierre Serre, became provable thanks to Ken Ribet in 1986.  {{w|Andrew Wiles}}, with assistance from his former student {{w|Richard Taylor (mathematician)|Richard Taylor}}, succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995, which finally established the proof of Fermat's Last Theorem. (The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, and Christophe Breuil in 2001.)</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child. Fermat's Last Theorem states that no three positive integers ''a'', ''b'', and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> for any integer value of ''n'' greater than 2. It is notable for having remained unproved for hundreds of years, despite many attempts to prove it. The Taniyama–Shimura conjecture (now known as the Modularity theorem) and the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat's Last Theorem is true. The epsilon conjecture, proposed by Jean-Pierre Serre, became provable thanks to Ken Ribet in 1986.  {{w|Andrew Wiles}}, with assistance from his former student {{w|Richard Taylor (mathematician)|Richard Taylor}}, succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995, which finally established the proof of Fermat's Last Theorem. (The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, and Christophe Breuil in 2001.)</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>Char Latte49https://www.explainxkcd.com/wiki/index.php?title=2689:_Fermat%27s_First_Theorem&diff=297713&oldid=prev172.70.162.77: /* Explanation */ Null-change to just say I meant to type "proved" instead of "prooved" in the last edit summary. ;)2022-10-27T20:26:53Z<p><span dir="auto"><span class="autocomment">Explanation: </span> Null-change to just say I meant to type "proved" instead of "prooved" in the last edit summary. ;)</span></p>
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 20:26, 27 October 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l11" >Line 11:</td>
<td colspan="2" class="diff-lineno">Line 11:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==Explanation==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{incomplete|Created by a SPELLING ANT- Please change this comment when editing this page. Do NOT delete this tag too soon.}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{incomplete|Created by a SPELLING ANT- Please change this comment when editing this page. Do NOT delete this tag too soon.}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child. Fermat's Last Theorem states that no three positive integers ''a'', ''b'', and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> for any integer value of ''n'' greater than 2. It is notable for having remained unproved for hundreds of years, despite many attempts to prove it. The Taniyama–Shimura conjecture (now known as the Modularity theorem) and the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat's Last Theorem is true. The epsilon conjecture, proposed by Jean-Pierre Serre, became provable thanks to Ken Ribet in 1986. {{w|Andrew Wiles}}, with assistance from his former student {{w|Richard Taylor (mathematician)|Richard Taylor}}, succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995, which finally established the proof of Fermat's Last Theorem. (The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, and Christophe Breuil in 2001.)</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>This is a reference to {{w|Fermat's Last Theorem}}, humorously implying that {{w|Pierre de Fermat}} created a similar theorem as a child. Fermat's Last Theorem states that no three positive integers ''a'', ''b'', and ''c'' satisfy the equation ''a''<sup>''n''</sup>+''b''<sup>''n''</sup>=''c''<sup>''n''</sup> for any integer value of ''n'' greater than 2. It is notable for having remained unproved for hundreds of years, despite many attempts to prove it. The Taniyama–Shimura conjecture (now known as the Modularity theorem) and the epsilon conjecture (now known as Ribet's theorem) together imply that Fermat's Last Theorem is true. The epsilon conjecture, proposed by Jean-Pierre Serre, became provable thanks to Ken Ribet in 1986. <ins class="diffchange diffchange-inline"> </ins>{{w|Andrew Wiles}}, with assistance from his former student {{w|Richard Taylor (mathematician)|Richard Taylor}}, succeeded in proving a special case of the Taniyama-Shimura conjecture for semistable elliptical curves in 1995, which finally established the proof of Fermat's Last Theorem. (The full Modularity theorem was subsequently established as correct by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, and Christophe Breuil in 2001.)</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The young Fermat here didn't try to prove the mathematical equation, but simply tried to read it as words, treating the "+" sign as a "t" so that "A<sup>N</sup>+" can be read as "ANT". His interpretation was quickly disproved because there's no "A" between "B" and "C", and no "O" between "C" and "N".</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>The young Fermat here didn't try to prove the mathematical equation, but simply tried to read it as words, treating the "+" sign as a "t" so that "A<sup>N</sup>+" can be read as "ANT". His interpretation was quickly disproved because there's no "A" between "B" and "C", and no "O" between "C" and "N".</div></td></tr>
</table>172.70.162.77