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<blockquote style="position: relative; padding-left: 55px;"><section><a href="https://mathstodon.xyz/users/rzeta0/statuses/115647166549552451">Tariq (rzeta0@mathstodon.xyz)'s status on Tuesday, 02-Dec-2025 09:41:11 JST</a><a href="https://mathstodon.xyz/@rzeta0" title="rzeta0@mathstodon.xyz"><img src="https://gnusocial.jp/avatar/365148-48-20251202004112.webp" width="48" height="48" alt="Tariq" style="position: absolute; left: 0; top: 0;">Tariq</a></section><article><p>The official solutions to the textbook I'm following says that prime 53 can't be expressed as the difference of two squares.</p><p>Im confused.</p><p>53=27²−26² </p><p>Am I going mad? </p><p><a href="https://mathstodon.xyz/tags/maths" rel="tag">#maths</a> <a href="https://mathstodon.xyz/tags/numbertheory" rel="tag">#numbertheory</a></p></article><footer><a rel="bookmark" href="https://gnusocial.jp/conversation/5914777#notice-11627720">In conversation</a><time datetime="2025-12-02T09:41:11+09:00" title="Tuesday, 02-Dec-2025 09:41:11 JST">about 9 months ago</time> <span>from <span><a href="https://mathstodon.xyz/@rzeta0/115647166549552451" rel="external" title="Sent from mathstodon.xyz via ActivityPub">mathstodon.xyz</a></span></span><a href="https://mathstodon.xyz/@rzeta0/115647166549552451">permalink</a><h4>Attachments</h4><ol><li><label><a rel="external" href="https://gnusocial.jp/attachment/5516535">You might have noticed that 53 is a prime number and so cannot be expressed as
the difference of two squares.</a></label><br><a href="https://media.mathstodon.xyz/media_attachments/files/115/647/162/107/355/431/original/e1b3fc7afdc02e00.png" rel="external">https://media.mathstodon.xyz/media_attachments/files/115/647/162/107/355/431/original/e1b3fc7afdc02e00.png</a></li><li><article><header><div>Domain not in remote thumbnail source whitelist: www.squares.im</div><h5><a href="http://www.squares.im/">Site en construction</a></h5><div> from <span>OVHcloud</span></div></header><div></div><footer></footer></article></li></ol></footer></blockquote>

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Tariq (rzeta0@mathstodon.xyz)'s status on Tuesday, 02-Dec-2025 09:41:11 JST Tariq
The official solutions to the textbook I'm following says that prime 53 can't be expressed as the difference of two squares.
Im confused.
53=27²−26²
Am I going mad?
#maths #numbertheory
In conversationabout 9 months ago from mathstodon.xyzpermalink
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1. You might have noticed that 53 is a prime number and so cannot be expressed as the difference of two squares.
  https://media.mathstodon.xyz/media_attachments/files/115/647/162/107/355/431/original/e1b3fc7afdc02e00.png
2. Domain not in remote thumbnail source whitelist: www.squares.im
  Site en construction
  from OVHcloud

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