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	<id>https://number.subwiki.org/w/index.php?action=history&amp;feed=atom&amp;title=645</id>
	<title>645 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://number.subwiki.org/w/index.php?action=history&amp;feed=atom&amp;title=645"/>
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	<updated>2026-04-14T12:40:32Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://number.subwiki.org/w/index.php?title=645&amp;diff=748&amp;oldid=prev</id>
		<title>Vipul: /* Factorization */</title>
		<link rel="alternate" type="text/html" href="https://number.subwiki.org/w/index.php?title=645&amp;diff=748&amp;oldid=prev"/>
		<updated>2012-01-03T21:04:46Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Factorization&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 21:04, 3 January 2012&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l5&quot;&gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Factorization===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Factorization===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&quot;&gt;&lt;div&gt;The number 645 is a [[square-free number]] with prime factors [[3]], [5]], and [[43]]:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&quot;&gt;&lt;div&gt;The number 645 is a [[square-free number]] with prime factors [[3]], &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[&lt;/ins&gt;[5]], and [[43]]:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\! 645 = 3 * 5 * 43&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\! 645 = 3 * 5 * 43&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Vipul</name></author>
	</entry>
	<entry>
		<id>https://number.subwiki.org/w/index.php?title=645&amp;diff=747&amp;oldid=prev</id>
		<title>Vipul: Created page with &quot;{{particular natural number}}  ==Summary==  ===Factorization===  The number 645 is a square-free number with prime factors 3, [5]], and 43:  &lt;math&gt;\! 645 = 3 * 5 *...&quot;</title>
		<link rel="alternate" type="text/html" href="https://number.subwiki.org/w/index.php?title=645&amp;diff=747&amp;oldid=prev"/>
		<updated>2012-01-03T21:04:26Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{particular natural number}}  ==Summary==  ===Factorization===  The number 645 is a &lt;a href=&quot;/w/index.php?title=Square-free_number&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Square-free number (page does not exist)&quot;&gt;square-free number&lt;/a&gt; with prime factors &lt;a href=&quot;/wiki/3&quot; title=&quot;3&quot;&gt;3&lt;/a&gt;, [5]], and &lt;a href=&quot;/wiki/43&quot; title=&quot;43&quot;&gt;43&lt;/a&gt;:  &amp;lt;math&amp;gt;\! 645 = 3 * 5 *...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{particular natural number}}&lt;br /&gt;
&lt;br /&gt;
==Summary==&lt;br /&gt;
&lt;br /&gt;
===Factorization===&lt;br /&gt;
&lt;br /&gt;
The number 645 is a [[square-free number]] with prime factors [[3]], [5]], and [[43]]:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\! 645 = 3 * 5 * 43&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Properties and families===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;sortable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Property or family !! Parameter values !! First few numbers satisfying the property !! Proof of satisfaction/containment/membership&lt;br /&gt;
|-&lt;br /&gt;
| [[satisfies property::Poulet number]] (also called Sarrus number) ([[Fermat pseudoprime]] to base 2) || third Poulet number || {{#lst:Poulet number|list}} || &amp;lt;math&amp;gt;2^{28} \equiv 1 \pmod {645}&amp;lt;/math&amp;gt;, and 28 divides 644, so &amp;lt;math&amp;gt;2^{644} \equiv 1 \pmod {645}&amp;lt;/math&amp;gt;.&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
	</entry>
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