https://number.subwiki.org/w/index.php?action=history&feed=atom&title=89 2026-05-18T13:27:15Z Revision history for this page on the wiki MediaWiki 1.41.2 https://number.subwiki.org/w/index.php?title=89&diff=903&oldid=prev 2012-06-23T01:18:48Z

<p><span dir="auto"><span class="autocomment">Properties and families</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 01:18, 23 June 2012</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12">Line 12:</td> <td colspan="2" class="diff-lineno">Line 12:</td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>! Property or family !! Parameter values !! First few numbers !! Proof of satisfaction/membership/containment</div></td><td class="diff-marker"></td><td style="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;"><div>! Property or family !! Parameter values !! First few numbers !! Proof of satisfaction/membership/containment</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>|-</div></td><td class="diff-marker"></td><td style="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;"><div>|-</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div>| [[satisfies property::prime number]] || || {{#lst:prime number|list}} || divide and check</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>| [[satisfies property::prime number]] || || {{#lst:prime number|list}} || <ins style="font-weight: bold; text-decoration: none;">{{</ins>divide and check <ins style="font-weight: bold; text-decoration: none;">up to sqrt}} In this case, since &lt;math&gt;\sqrt{89}&lt;/math&gt; is between 9 and 10, verifying primality requires checking that 89 is not divisible by any prime up to 9, i.e., it is not divisible by any of the primes [[2]], [[3]], [[5]] or [[7]].</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>|-</div></td><td class="diff-marker"></td><td style="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;"><div>|-</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>| [[satisfies property::regular prime]] || || {{#lst:regular prime|list}} ||  </div></td><td class="diff-marker"></td><td style="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;"><div>| [[satisfies property::regular prime]] || || {{#lst:regular prime|list}} ||  </div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>|}</div></td><td class="diff-marker"></td><td style="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;"><div>|}</div></td></tr> </table>

Vipul https://number.subwiki.org/w/index.php?title=89&diff=899&oldid=prev 2012-06-23T01:12:49Z

<p>Created page with &quot;{{particular natural number}} ==Summary== ===Factorization=== The number 89 is a <a href="/wiki/Prime_number" title="Prime number">prime number</a>. ===Properties and families=== {| class=&quot;sortable&quot; border=&quot;1&quot; ! Property...&quot;</p> <p><b>New page</b></p><div>{{particular natural number}}<br /> <br /> ==Summary==<br /> <br /> ===Factorization===<br /> <br /> The number 89 is a [[prime number]].<br /> <br /> ===Properties and families===<br /> <br /> {| class=&quot;sortable&quot; border=&quot;1&quot;<br /> ! Property or family !! Parameter values !! First few numbers !! Proof of satisfaction/membership/containment<br /> |-<br /> | [[satisfies property::prime number]] || || {{#lst:prime number|list}} || divide and check<br /> |-<br /> | [[satisfies property::regular prime]] || || {{#lst:regular prime|list}} || <br /> |}</div>

Vipul