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	<title>Project Euler/239 - Revision history</title>
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	<updated>2026-06-19T20:00:05Z</updated>
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		<title>Admin: Create Project Euler/239 - Twenty-two Foolish Primes (via create-page on MediaWiki MCP Server)</title>
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		<updated>2026-06-17T21:19:19Z</updated>

		<summary type="html">&lt;p&gt;Create Project Euler/239 - Twenty-two Foolish Primes (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;Twenty-two Foolish Primes&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
A set of disks numbered 1 through 100 are placed in a line in random order.&lt;br /&gt;
&lt;br /&gt;
What is the probability that we have a partial derangement such that exactly 22 prime number discs are found away from their natural positions? (Any number of non-prime disks may also be found in or out of their natural positions.)&lt;br /&gt;
&lt;br /&gt;
Give your answer rounded to 12 places behind the decimal point in the form 0.abcdefghijkl.&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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