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cdx-button--icon-only cdx-button--weight-quiet skin-minerva-search-trigger"> <span class="minerva-icon minerva-icon--search"></span> <span>Search</span> </button> </form> <nav class="minerva-user-navigation" aria-label="User navigation"> </nav> </div> </header> <main id="content" class="mw-body"> <div class="banner-container"> <div id="siteNotice"></div> </div> <div class="pre-content heading-holder"> <div class="page-heading"> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-namespace">Wikipedia</span><span class="mw-page-title-separator">:</span><span class="mw-page-title-main">Notability (numbers)</span></h1> <div class="tagline"></div> </div> <ul id="p-associated-pages" class="minerva__tab-container"> <li class="minerva__tab selected"> <a class="minerva__tab-text" href="/wiki/Wikipedia:Notability_(numbers)" rel="" data-event-name="tabs.subject">Project page</a> </li> <li class="minerva__tab "> <a class="minerva__tab-text" 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class="mf-section-0" id="mf-section-0"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Wikipedia policy for notability of numbers</div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">"WP:NUMBER" redirects here. For other uses, see <a href="/wiki/Wikipedia:NUMBER_(disambiguation)" class="mw-disambig" title="Wikipedia:NUMBER (disambiguation)">WP:NUMBER (disambiguation)</a>.</div> <style data-mw-deduplicate="TemplateStyles:r1238436933">.mw-parser-output .ombox{margin:4px 0;border-collapse:collapse;border:1px solid #a2a9b1;background-color:var(--background-color-neutral-subtle,#f8f9fa);box-sizing:border-box;color:var(--color-base,#202122)}.mw-parser-output .ombox.mbox-small{font-size:88%;line-height:1.25em}.mw-parser-output .ombox-speedy{border:2px solid #b32424;background-color:#fee7e6}.mw-parser-output .ombox-delete{border:2px solid #b32424}.mw-parser-output .ombox-content{border:1px solid #f28500}.mw-parser-output .ombox-style{border:1px solid #fc3}.mw-parser-output .ombox-move{border:1px solid #9932cc}.mw-parser-output .ombox-protection{border:2px solid #a2a9b1}.mw-parser-output .ombox .mbox-text{border:none;padding:0.25em 0.9em;width:100%}.mw-parser-output .ombox .mbox-image{border:none;padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .ombox .mbox-imageright{border:none;padding:2px 0.9em 2px 0;text-align:center}.mw-parser-output .ombox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ombox .mbox-invalid-type{text-align:center}@media(min-width:720px){.mw-parser-output .ombox{margin:4px 10%}.mw-parser-output .ombox.mbox-small{clear:right;float:right;margin:4px 0 4px 1em;width:238px}}body.skin--responsive .mw-parser-output table.ombox img{max-width:none!important}@media screen{html.skin-theme-clientpref-night .mw-parser-output .ombox-speedy{background-color:#310402}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .ombox-speedy{background-color:#310402}}</style><table class="plainlinks ombox ombox-notice" role="presentation"><tbody><tr><td class="mbox-image"><span typeof="mw:File"><span><img alt="Blue tick" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Blue_check.svg/30px-Blue_check.svg.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Blue_check.svg/45px-Blue_check.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Blue_check.svg/60px-Blue_check.svg.png 2x" data-file-width="600" data-file-height="600"></span></span></td><td class="mbox-text"><b>This page documents an English Wikipedia <a href="/wiki/Category:Wikipedia_notability_guidelines" title="Category:Wikipedia notability guidelines">notability guideline</a>.</b><br><div style="font-size: 90%;">Editors should generally follow it, though <a href="/wiki/Wikipedia:Ignore_all_rules" title="Wikipedia:Ignore all rules">exceptions</a> may apply. Substantive edits to this page should reflect <a href="/wiki/Wikipedia:PGCHANGE" class="mw-redirect" title="Wikipedia:PGCHANGE">consensus</a>. When in doubt, discuss first on <a href="/wiki/Wikipedia_talk:Notability_(numbers)" title="Wikipedia talk:Notability (numbers)">this guideline's talk page</a>.</div></td><td class="mbox-imageright"><style data-mw-deduplicate="TemplateStyles:r1252059228">.mw-parser-output .module-shortcutboxplain{float:right;margin:0 0 0 1em;border:1px solid var(--border-color-base,#a2a9b1);background-color:var(--background-color-base,#fff);padding:0.3em 0.6em 0.2em 0.6em;text-align:center;font-size:85%}.mw-parser-output .module-shortcutboxleft{float:left;margin:0 1em 0 0}.mw-parser-output .module-shortcutlist{display:inline-block;border-bottom:1px solid var(--border-color-base,#a2a9b1);margin-bottom:0.2em}.mw-parser-output .module-shortcutboxplain ul{font-weight:bold}.mw-parser-output .module-shortcutanchordiv{position:relative;top:-3em}.mw-parser-output li .module-shortcutanchordiv{float:right}.mw-parser-output .mbox-imageright .module-shortcutboxplain{padding:0.4em 1em 0.4em 1em;line-height:1.3;margin:0}</style><div class="module-shortcutanchordiv"><span id="WP:NUMBER"></span><span id="WP:NNUM"></span></div><div class="module-shortcutboxplain noprint" role="note"><div class="module-shortcutlist"><a href="/wiki/Wikipedia:Shortcut" title="Wikipedia:Shortcut">Shortcuts</a></div><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style><div class="plainlist"><ul><li><span class="plainlinks"><a class="external text" href="https://en.wikipedia.org/w/index.php?title=Wikipedia:NUMBER&redirect=no">WP:NUMBER</a></span></li><li><span class="plainlinks"><a class="external text" href="https://en.wikipedia.org/w/index.php?title=Wikipedia:NNUM&redirect=no">WP:NNUM</a></span></li></ul></div></div></td></tr></tbody></table> <style 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rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><table class="sidebar nomobile nowraplinks help-box noprint plainlist" style="clear:right;width:200px;"><tbody><tr><th class="sidebar-title"><a href="/wiki/Wikipedia:Notability" title="Wikipedia:Notability">Notability</a></th></tr><tr><th class="sidebar-heading"> <a href="/wiki/Wikipedia:Notability#General_notability_guideline" title="Wikipedia:Notability">General notability guideline</a></th></tr><tr><th class="sidebar-heading"> <a href="/wiki/Wikipedia:Notability#Subject-specific_notability_guidelines" title="Wikipedia:Notability">Subject-specific guidelines</a></th></tr><tr><td class="sidebar-content"> <div class="hlist"> <ul><li><a href="/wiki/Wikipedia:Notability_(academics)" title="Wikipedia:Notability (academics)">Academics</a></li></ul> <ul><li><a href="/wiki/Wikipedia:Notability_(astronomical_objects)" title="Wikipedia:Notability (astronomical objects)">Astronomical objects</a></li></ul> <ul><li><a href="/wiki/Wikipedia:Notability_(books)" title="Wikipedia:Notability (books)">Books</a></li> <li><a href="/wiki/Wikipedia:Notability_(events)" title="Wikipedia:Notability (events)">Events</a></li> <li><a href="/wiki/Wikipedia:Notability_(films)" title="Wikipedia:Notability (films)">Films</a></li></ul> <ul><li><a href="/wiki/Wikipedia:Notability_(geographic_features)" title="Wikipedia:Notability (geographic features)">Geographic features</a></li></ul> <ul><li><a href="/wiki/Wikipedia:Notability_(music)" title="Wikipedia:Notability (music)">Music</a></li> <li><a class="mw-selflink selflink">Numbers</a></li></ul> <ul><li><a href="/wiki/Wikipedia:Notability_(organizations_and_companies)" title="Wikipedia:Notability (organizations and companies)">Organizations and companies</a></li></ul> <ul><li><a href="/wiki/Wikipedia:Notability_(people)" title="Wikipedia:Notability (people)">People</a></li> <li><a href="/wiki/Wikipedia:Notability_(species)" title="Wikipedia:Notability (species)">Species</a></li></ul> <ul><li><a href="/wiki/Wikipedia:Notability_(sports)" title="Wikipedia:Notability (sports)">Sports and athletes</a></li></ul> <ul><li><a href="/wiki/Wikipedia:Notability_(web)" title="Wikipedia:Notability (web)">Web content</a></li></ul> </div></td> </tr><tr><th class="sidebar-heading"> See also</th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/Wikipedia:Essay_directory#Notability" title="Wikipedia:Essay directory">Notability essays</a></li> <li><a href="/wiki/Wikipedia:Guide_to_deletion" title="Wikipedia:Guide to deletion">Guide to deletion</a></li> <li><a href="/wiki/Wikipedia:Articles_for_deletion/Common_outcomes" title="Wikipedia:Articles for deletion/Common outcomes">Common deletion outcomes</a></li> <li><a href="/wiki/Wikipedia:Why_was_the_page_I_created_deleted%3F" title="Wikipedia:Why was the page I created deleted?">Why was my article deleted?</a></li></ul></td> </tr><tr><td class="sidebar-navbar"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Notability_sidebar" title="Template:Notability sidebar"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Notability_sidebar" title="Template talk:Notability sidebar"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Notability_sidebar" title="Special:EditPage/Template:Notability sidebar"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <p>These guidelines on the <b>notability of numbers</b> address notability of individual numbers, kinds of numbers and lists of numbers. </p><p>In the case of mathematical classifications of numbers, the relevant criteria are whether professional mathematicians study the classification and whether amateur mathematicians are interested by it. Therefore, the first question to ask is: </p> <ul><li>Have professional mathematicians published papers on this topic, or chapters in a book?</li></ul> <p>This is the question that will apply, only slightly reworded, to each of the kinds of articles about numbers we will consider. More specific questions will be added for specific article types, though there will of course be some overlap. </p> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"><input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none"><div class="toctitle" lang="en" dir="ltr"><h2 id="mw-toc-heading">Contents</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span></div> <ul> <li class="toclevel-1 tocsection-1"><a href="#Notability_of_kinds_of_numbers"><span class="tocnumber">1</span> <span class="toctext">Notability of kinds of numbers</span></a></li> <li class="toclevel-1 tocsection-2"><a href="#Notability_of_sequences_of_numbers"><span class="tocnumber">2</span> <span class="toctext">Notability of sequences of numbers</span></a></li> <li class="toclevel-1 tocsection-3"><a href="#Notability_of_specific_individual_numbers"><span class="tocnumber">3</span> <span class="toctext">Notability of specific individual numbers</span></a> <ul> <li class="toclevel-2 tocsection-4"><a href="#Integers"><span class="tocnumber">3.1</span> <span class="toctext">Integers</span></a> <ul> <li class="toclevel-3 tocsection-5"><a href="#Redirects_to_range_sections"><span class="tocnumber">3.1.1</span> <span class="toctext">Redirects to range sections</span></a></li> </ul> </li> <li class="toclevel-2 tocsection-6"><a href="#Irrational_numbers"><span class="tocnumber">3.2</span> <span class="toctext">Irrational numbers</span></a> <ul> <li class="toclevel-3 tocsection-7"><a href="#Decimal_expansion_redirects"><span class="tocnumber">3.2.1</span> <span class="toctext">Decimal expansion redirects</span></a></li> </ul> </li> </ul> </li> <li class="toclevel-1 tocsection-8"><a href="#Notability_of_lists_of_numbers_and_categories"><span class="tocnumber">4</span> <span class="toctext">Notability of lists of numbers and categories</span></a></li> <li class="toclevel-1 tocsection-9"><a href="#Rationale"><span class="tocnumber">5</span> <span class="toctext">Rationale</span></a></li> <li class="toclevel-1 tocsection-10"><a href="#See_also"><span class="tocnumber">6</span> <span class="toctext">See also</span></a></li> </ul> </div> </section><div class="mw-heading mw-heading2 ext-discussiontools-init-section section-heading" onclick="mfTempOpenSection(1)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="Notability_of_kinds_of_numbers" data-mw-thread-id="h-Notability_of_kinds_of_numbers"><span data-mw-comment-start="" id="h-Notability_of_kinds_of_numbers"></span>Notability of kinds of numbers<span data-mw-comment-end="h-Notability_of_kinds_of_numbers"></span></h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Wikipedia:Notability_(numbers)&action=edit&section=1" title="Edit section: Notability of kinds of numbers" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-1 collapsible-block" id="mf-section-1"> <dl><dd><b>Examples</b> Complex numbers. Transcendental numbers containing only 3s and 7s in their hexadecimal representations.</dd></dl> <p>The questions to ask are: </p> <ol><li>Have professional mathematicians published papers on this kind of number, or chapters in a book, or an entire book about this kind of number?</li> <li>Do <a href="/wiki/MathWorld" title="MathWorld">MathWorld</a> or <a href="/wiki/PlanetMath" title="PlanetMath">PlanetMath</a> have articles on this kind of number?</li> <li>Is there at least one commonly accepted name for this kind of number?</li></ol> <p>An affirmative answer to these three questions indicates that this kind of number is notable enough for Wikipedia to have an article about it. </p><p>In some cases, notability guidelines for sequences of numbers might be more applicable, especially when it is straightforward to put the numbers in some kind order, such as ascending order. </p> <dl><dd><b>Disposition of examples</b> There exists at least one book titled <i>Complex Numbers</i>, one by Walter Ledermann, and several others with titles of the form <i>Complex Numbers and something else</i>, such as Estermann's <i>Complex Numbers and Functions</i>. Both PlanetMath and MathWorld have articles on complex numbers. The name "complex number" has been almost universally accepted since mathematician <a href="/wiki/Carl_Friedrich_Gauss" title="Carl Friedrich Gauss">Carl Friedrich Gauss</a> coined it. Hence, <a href="/wiki/Complex_number" title="Complex number">complex numbers</a> are notable enough for Wikipedia.</dd> <dd>On the other hand, transcendental numbers containing only 3s and 7s in their hexadecimal representations lack a commonly accepted name, in part because the description is so long, but mainly because hardly anyone, professional or amateur, has cared to study these numbers, much less publish anything about them.</dd></dl> </section><div class="mw-heading mw-heading2 ext-discussiontools-init-section section-heading" onclick="mfTempOpenSection(2)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="Notability_of_sequences_of_numbers" data-mw-thread-id="h-Notability_of_sequences_of_numbers"><span data-mw-comment-start="" id="h-Notability_of_sequences_of_numbers"></span>Notability of sequences of numbers<span data-mw-comment-end="h-Notability_of_sequences_of_numbers"></span></h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Wikipedia:Notability_(numbers)&action=edit&section=2" title="Edit section: Notability of sequences of numbers" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-2 collapsible-block" id="mf-section-2"> <dl><dd><b>Examples</b> The Mian–Chowla sequence. The sequence of numbers <span class="texhtml mvar" style="font-style:italic;">n</span> such that <span class="texhtml">5<i>n</i><sup>5</sup> + 1</span> is prime.</dd></dl> <ol><li>Have professional mathematicians published papers about this sequence, or chapters in a book, or an entire book about this sequence?</li> <li>Do <a href="/wiki/MathWorld" title="MathWorld">MathWorld</a> and <a href="/wiki/PlanetMath" title="PlanetMath">PlanetMath</a> have articles about this sequence?</li> <li>Is this sequence listed in the <a href="/wiki/Online_Encyclopedia_of_Integer_Sequences" class="mw-redirect" title="Online Encyclopedia of Integer Sequences">Online Encyclopedia of Integer Sequences</a> (OEIS)? (Preferably without the keyword "less".)</li> <li>Is there at least one commonly accepted name for this sequence?</li></ol> <p>An affirmative answer to these four questions indicates that this sequence is notable for Wikipedia to have an article about it. Although the OEIS is restricted to integers in the values its table may hold, there are some ways around this restriction. For sequences of rational numbers, the OEIS might split off the one sequence of rational numbers into two sequences, one of numerators and another one of denominators. If the third question gets a negative response, someone arguing the notability of the sequence needs to show that there is no way the OEIS would include this sequence as a result of its rules, and not as a comment on the non-notability of the sequence. </p> <dl><dd><b>Disposition of examples</b> The mathematicians Mian and Chowla published a paper in <i>Proc. Natl. Acad. Sci. India</i> <b>A14</b> about the sequence 1, 2, 4, 8, 13, 21, 31, 45, ... Both Mathworld and PlanetMath have articles about this sequence. The sequence is listed in the OEIS as <span class="nowrap external"><a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">OEIS</a>: <a href="//oeis.org/A005282" class="extiw" title="oeis:A005282">A005282</a></span>. The modesty of the mathematicians aside, this sequence is universally known as the "Mian–Chowla sequence". Thus, the <a href="/wiki/Mian%E2%80%93Chowla_sequence" title="Mian–Chowla sequence">Mian–Chowla sequence</a> is notable enough for Wikipedia.</dd> <dd>The sequence of numbers <i>n</i> such that 5<i>n</i><sup>5</sup> + 1 is prime is in the OEIS (<span class="nowrap external"><a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">OEIS</a>: <a href="//oeis.org/A117132" class="extiw" title="oeis:A117132">A117132</a></span>), but it has the keyword "less". Neither PlanetMath nor MathWorld have articles about this sequence.</dd></dl> </section><div class="mw-heading mw-heading2 ext-discussiontools-init-section section-heading" onclick="mfTempOpenSection(3)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="Notability_of_specific_individual_numbers" data-mw-thread-id="h-Notability_of_specific_individual_numbers"><span data-mw-comment-start="" id="h-Notability_of_specific_individual_numbers"></span>Notability of specific individual numbers<span data-mw-comment-end="h-Notability_of_specific_individual_numbers"></span></h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Wikipedia:Notability_(numbers)&action=edit&section=3" title="Edit section: Notability of specific individual numbers" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-3 collapsible-block" id="mf-section-3"> <div class="mw-heading mw-heading3"><h3 id="Integers" data-mw-thread-id="h-Integers-Notability_of_specific_individual_numbers"><span data-mw-comment-start="" id="h-Integers-Notability_of_specific_individual_numbers"></span>Integers<span data-mw-comment-end="h-Integers-Notability_of_specific_individual_numbers"></span></h3><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Wikipedia:Notability_(numbers)&action=edit&section=4" title="Edit section: Integers" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div> <dl><dd><b>Examples</b> 42 and 9870123.</dd></dl> <ol><li>Are there at least three unrelated interesting mathematical properties of this integer?</li> <li>Does this number have obvious cultural significance (e.g., as a lucky or unlucky number)?</li> <li>Is it listed in a book such as David Wells's <i><a href="/wiki/Dictionary_of_Curious_and_Interesting_Numbers" class="mw-redirect" title="Dictionary of Curious and Interesting Numbers">Dictionary of Curious and Interesting Numbers</a></i>, or <a href="/wiki/Jean-Marie_De_Koninck" title="Jean-Marie De Koninck">Jean-Marie De Koninck</a>'s <i>Those Fascinating Numbers</i>, or on Erich Friedman's "<a rel="nofollow" class="external text" href="https://erich-friedman.github.io/numbers.html">What's Special About This Number?</a>" webpage?</li></ol> <p>In assessing how interesting the mathematical property of a particular integer might be, <a href="/wiki/Wikipedia:WikiProject_Numbers/Guidelines" title="Wikipedia:WikiProject Numbers/Guidelines">advice from WikiProject Numbers</a> could be useful. A property that is shared by a large proportion of numbers, such as being a <a href="/wiki/Composite_number" title="Composite number">composite number</a>, is not interesting. For the sake of completeness, however, it is accepted that every integer between −1 and 101 has its own article even if it is not as interesting as the others. This avoids having, say, a gap for 38. </p> <dl><dd><b>Disposition of examples</b> 42 is the product of the first three terms of Sylvester's sequence, it is the sum of the first eleven totients and it is a Catalan number, to name just three. As the ultimate answer in Douglas Adams's classic <i>Hitchhiker's</i> trilogy, the number 42 is invested with great cultural significance. 42 appears in both Wells's book and Friedman's page. Thus, <a href="/wiki/42_(number)" title="42 (number)">42</a> is notable enough for Wikipedia.</dd> <dd>9870123, on the other hand, is listed neither in Wells's book nor on Friedman's page.</dd></dl> <div class="mw-heading mw-heading4"><h4 id="Redirects_to_range_sections" data-mw-thread-id="h-Redirects_to_range_sections-Integers"><span data-mw-comment-start="" id="h-Redirects_to_range_sections-Integers"></span>Redirects to range sections<span data-mw-comment-end="h-Redirects_to_range_sections-Integers"></span></h4><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Wikipedia:Notability_(numbers)&action=edit&section=5" title="Edit section: Redirects to range sections" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div> <p>Several articles for round numbers contain a "range section". For example, <a href="/wiki/40000_(number)" class="mw-redirect" title="40000 (number)">40000 (number)</a> has a section <b><a href="/wiki/40000_(number)#Selected_numbers" class="mw-redirect" title="40000 (number)">Selected numbers</a></b>, in this case for numbers in the range 40001–49999. Such sections also list integers in the given range that are not sufficiently notable to warrant their own, separate article, but nevertheless have a property that is interesting enough to mention it there. In such cases, it makes sense to make the page for the non-notable number a redirect to the article with the range section in which it is treated. For example, 40585 is a <a href="/wiki/Factorion" title="Factorion">factorion</a>, and is mentioned as such in the article <a href="/wiki/40000_(number)" class="mw-redirect" title="40000 (number)">40000 (number)</a>; accordingly, the page <a href="/wiki/40585_(number)" class="mw-redirect" title="40585 (number)">40585 (number)</a> redirects to the article <a href="/wiki/40000_(number)" class="mw-redirect" title="40000 (number)">40000 (number)</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Irrational_numbers" data-mw-thread-id="h-Irrational_numbers-Notability_of_specific_individual_numbers"><span data-mw-comment-start="" id="h-Irrational_numbers-Notability_of_specific_individual_numbers"></span>Irrational numbers<span data-mw-comment-end="h-Irrational_numbers-Notability_of_specific_individual_numbers"></span></h3><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Wikipedia:Notability_(numbers)&action=edit&section=6" title="Edit section: Irrational numbers" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div> <dl><dd><b>Examples</b> The square root of 2, (sin 1)<sup>2</sup>.</dd></dl> <ol><li>Is there a book about this irrational number, or at least a great number of papers using this number?</li> <li>Are both the decimal expansion and the continued fraction of this number listed in the OEIS?</li> <li>Is this number listed in a book such as Finch's <i>Mathematical Constants</i>?</li> <li>Is there at least one commonly accepted name for this irrational number?</li></ol> <dl><dd><b>Disposition of examples</b> The square root of 2 has an entire book by David Flannery devoted to it. Its continued fraction is A040000 in the OEIS and its decimal expansion is A002193. This number is listed in Finch's book, and it is sometimes called "Pythagoras' constant," though "square root of two" is considered manageable enough. Thus, the <a href="/wiki/Square_root_of_2" title="Square root of 2">square root of 2</a> is notable enough for Wikipedia.</dd> <dd>(sin 1)<sup>2</sup> is listed in the OEIS but not in Finch's book, nor is there a simpler name for it than its algebraic expression. Thus, (sin 1)<sup>2</sup> is <i>not</i> notable enough for Wikipedia.</dd></dl> <div class="mw-heading mw-heading4"><h4 id="Decimal_expansion_redirects" data-mw-thread-id="h-Decimal_expansion_redirects-Irrational_numbers"><span data-mw-comment-start="" id="h-Decimal_expansion_redirects-Irrational_numbers"></span>Decimal expansion redirects<span data-mw-comment-end="h-Decimal_expansion_redirects-Irrational_numbers"></span></h4><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Wikipedia:Notability_(numbers)&action=edit&section=7" title="Edit section: Decimal expansion redirects" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div> <p>Only the most famous irrational numbers merit redirects from partial decimal expansions. For example, <a href="/wiki/3.14" class="mw-redirect" title="3.14">3.14</a> and <a href="/wiki/2.71828" class="mw-redirect" title="2.71828">2.71828</a>. Any others, the search engine ought to catch the number written in the appropriate page and return that as a result. To facilitate this searching, then, it is recommended that the number's decimal expansion be written out in text and not as a graphic in the page. </p> </section><div class="mw-heading mw-heading2 ext-discussiontools-init-section section-heading" onclick="mfTempOpenSection(4)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="Notability_of_lists_of_numbers_and_categories" data-mw-thread-id="h-Notability_of_lists_of_numbers_and_categories"><span data-mw-comment-start="" id="h-Notability_of_lists_of_numbers_and_categories"></span>Notability of lists of numbers and categories<span data-mw-comment-end="h-Notability_of_lists_of_numbers_and_categories"></span></h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Wikipedia:Notability_(numbers)&action=edit&section=8" title="Edit section: Notability of lists of numbers and categories" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-4 collapsible-block" id="mf-section-4"> <p>Besides the <a href="/wiki/List_of_numbers" title="List of numbers">list of numbers</a> and the <a href="/wiki/List_of_prime_numbers" title="List of prime numbers">list of prime numbers</a>, any other lists are not considered to be narrowly enough construed to be useful. The creation of categories must not be taken lightly: one must be able to demonstrate that the category would be populated by a significant number of articles on notable topics. </p> </section><div class="mw-heading mw-heading2 ext-discussiontools-init-section section-heading" onclick="mfTempOpenSection(5)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="Rationale" data-mw-thread-id="h-Rationale"><span data-mw-comment-start="" id="h-Rationale"></span>Rationale<span data-mw-comment-end="h-Rationale"></span></h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Wikipedia:Notability_(numbers)&action=edit&section=9" title="Edit section: Rationale" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-5 collapsible-block" id="mf-section-5"> <p>The subset of numbers anyone could look up in Wikipedia is very small. And if we strike out those numbers that will only be looked up only out of curiosity on whether or not Wikipedia has an article about that number, we're left with an even smaller subset. That subset, give or take a few members, is exactly the same subset WP:NUM calls for. For example, many people will look up <a href="/wiki/Forty-two" class="mw-redirect" title="Forty-two">forty-two</a> to genuinely learn more about it, while someone would look up the "square root of 40887" only to see if Wikipedia has an article about it and nothing else. No one would be able to specifically look up an integer at some inconvenient distance between 15 googolplexes and 16 googolplexes. </p> </section><div class="mw-heading mw-heading2 ext-discussiontools-init-section section-heading" onclick="mfTempOpenSection(6)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="See_also" data-mw-thread-id="h-See_also"><span data-mw-comment-start="" id="h-See_also"></span>See also<span data-mw-comment-end="h-See_also"></span></h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Wikipedia:Notability_(numbers)&action=edit&section=10" title="Edit section: See also" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-6 collapsible-block" id="mf-section-6"> <ul><li><a href="/wiki/Wikipedia:WikiProject_Numbers" title="Wikipedia:WikiProject Numbers">Wikipedia:WikiProject Numbers</a></li> <li><a href="/wiki/Wikipedia:What_Wikipedia_is_not" title="Wikipedia:What Wikipedia is not">Wikipedia:What Wikipedia is not</a></li> <li><a href="/wiki/Interesting_number_paradox" title="Interesting number paradox">Interesting number paradox</a></li> <li><a href="/wiki/Wikipedia:Evaluating_how_interesting_an_integer%27s_mathematical_property_is" title="Wikipedia:Evaluating how interesting an integer's mathematical property is">Wikipedia:Evaluating how interesting an integer's mathematical property is</a></li></ul> <p>Some precedents: </p> <ul><li><a href="/wiki/Wikipedia:Articles_for_deletion/31999998" title="Wikipedia:Articles for deletion/31999998">Wikipedia:Articles for deletion/31999998</a></li> <li><a href="/wiki/Wikipedia:Articles_for_deletion/99999999" title="Wikipedia:Articles for deletion/99999999">Wikipedia:Articles for deletion/99999999</a></li> <li><a href="/wiki/Wikipedia:Articles_for_deletion/1111111111" title="Wikipedia:Articles for deletion/1111111111">Wikipedia:Articles for deletion/1111111111</a></li> <li><a href="/wiki/Wikipedia:Articles_for_deletion/3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068" title="Wikipedia:Articles for deletion/3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068">Wikipedia:Articles for deletion/3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068</a></li> <li><a href="/wiki/Wikipedia:Articles_for_deletion/3.14" title="Wikipedia:Articles for deletion/3.14">Wikipedia:Articles for deletion/3.14</a></li> <li><a href="/wiki/Wikipedia:Articles_for_deletion/Leviathan_number" title="Wikipedia:Articles for deletion/Leviathan number">Wikipedia:Articles for deletion/Leviathan number</a></li></ul>    </section></div> <noscript><img 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