https://en.formulasearchengine.com/index.php?action=history&feed=atom&title=Optical_buffer 2026-04-07T06:15:47Z Revision history for this page on the wiki MediaWiki 1.43.0-wmf.28 https://en.formulasearchengine.com/index.php?title=Optical_buffer&diff=12238&oldid=prev 2010-11-22T21:15:30Z

<p>{{unreferenced}}</p> <p><b>New page</b></p><div>{{for|the female singular in ecclesiastical context|congrua portio}}<br /> {{Underlinked|date=February 2013}}<br /> <br /> A &#039;&#039;&#039;congruum&#039;&#039;&#039; (plural &#039;&#039;congrua&#039;&#039;) is a positive [[integer]] &#039;&#039;h&#039;&#039; which results in a square integer when added or subtracted from some square integer. For instance,<br /> the number 96 is a congruum, since <br /> :&lt;math&gt;10^2-96 = 4 = 2^2&lt;/math&gt;<br /> and<br /> :&lt;math&gt;10^2+96=196=14^2&lt;/math&gt;<br /> <br /> Formally, we may defined congrua as those integers &#039;&#039;h&#039;&#039; for which there exist integers &#039;&#039;x&#039;&#039;, &#039;&#039;a&#039;&#039; and &#039;&#039;b&#039;&#039; such that<br /> :&lt;math&gt;x^2+h=a^2&lt;/math&gt;<br /> and<br /> :&lt;math&gt;x^2-h=b^2&lt;/math&gt;.<br /> <br /> The first few congrua {{OEIS|id=A057102}} are: 24, 96, 120, 240, 336, 384, 480, 720, 840, 960 ... .<br /> <br /> ==References==<br /> * [http://mathworld.wolfram.com/Congruum.html Congruum at Mathworld]<br /> <br /> [[Category:Integer sequences]]<br /> <br /> <br /> {{numtheory-stub}}</div>

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