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	<title>Project Euler/243 - Revision history</title>
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	<updated>2026-06-19T13:38:33Z</updated>
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		<id>https://charlesreid1.com/w/index.php?title=Project_Euler/243&amp;diff=30634&amp;oldid=prev</id>
		<title>Admin: Create Project Euler/243 - Resilience (via create-page on MediaWiki MCP Server)</title>
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		<summary type="html">&lt;p&gt;Create Project Euler/243 - Resilience (via create-page on MediaWiki MCP Server)&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==Problem Statement==&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Resilience&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
A positive fraction whose denominator exceeds its numerator by exactly 1 is called a resilient fraction.&lt;br /&gt;
&lt;br /&gt;
Let R(d) be the resilience of a denominator d, defined as the proportion of all fractions n/d (with 1 ≤ n &amp;lt; d) that are resilient.&lt;br /&gt;
&lt;br /&gt;
For example, R(12) = 4/11.&lt;br /&gt;
&lt;br /&gt;
Find the smallest denominator d for which R(d) &amp;lt; 15499/94744.&lt;br /&gt;
&lt;br /&gt;
==Flags==&lt;br /&gt;
&lt;br /&gt;
{{ProjectEulerFlag}}&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
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