https://wiki.bbchallenge.org/w/index.php?action=history&feed=atom&title=Talk%3ABusy_Beaver_Frontier 2026-10-20T00:56:48Z Revision history for this page on the wiki MediaWiki 1.43.5 https://wiki.bbchallenge.org/w/index.php?title=Talk:Busy_Beaver_Frontier&diff=9086&oldid=prev 2026-10-14T07:55:22Z

<p>Undo revision <a href="/wiki/Special:Diff/9085" title="Special:Diff/9085">9085</a> by <a href="/wiki/Special:Contributions/Azerty" title="Special:Contributions/Azerty">Azerty</a> (<a href="/wiki/User_talk:Azerty" title="User talk:Azerty">talk</a>)</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 07:55, 14 October 2026</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5">Line 5:</td> <td colspan="2" class="diff-lineno">Line 5:</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>I think the first Busy Beaver function values that exceed the largest numbers ever constructed by humans using computable methods are BB(14), BB(8,3), BB(6,4), BB(5,5), BB(4,6), BB(3,8), and BB(2,13).</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>I think the first Busy Beaver function values that exceed the largest numbers ever constructed by humans using computable methods are BB(14), BB(8,3), BB(6,4), BB(5,5), BB(4,6), BB(3,8), and BB(2,13).</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;"><br></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;"><br></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>I think BB(6) won't exceed &lt;math&gt;f_\omega(<del style="font-weight: bold; text-decoration: none;">36</del>)&lt;/math&gt;, BB(3,3) won't exceed &lt;math&gt;10^{1000}&lt;/math&gt;, and BB(2,5) won't exceed &lt;math&gt;10\uparrow\uparrow 1000&lt;/math&gt;.</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>I think BB(6) won't exceed &lt;math&gt;f_\omega(<ins style="font-weight: bold; text-decoration: none;">1000</ins>)&lt;/math&gt;, BB(3,3) won't exceed &lt;math&gt;10^{1000}&lt;/math&gt;, and BB(2,5) won't exceed &lt;math&gt;10\uparrow\uparrow 1000&lt;/math&gt;.</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;"><br></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;"><br></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>[[User:Jacobzheng|Jacobzheng]] ([[User talk:Jacobzheng|talk]]) 15:24, 13 October 2026 (UTC)</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>[[User:Jacobzheng|Jacobzheng]] ([[User talk:Jacobzheng|talk]]) 15:24, 13 October 2026 (UTC)</div></td></tr> <!-- diff cache key mediawiki:diff:1.41:old-9085:rev-9086:php=table --> </table>

Azerty https://wiki.bbchallenge.org/w/index.php?title=Talk:Busy_Beaver_Frontier&diff=9085&oldid=prev 2026-10-14T07:53:09Z

<p></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 07:53, 14 October 2026</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5">Line 5:</td> <td colspan="2" class="diff-lineno">Line 5:</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>I think the first Busy Beaver function values that exceed the largest numbers ever constructed by humans using computable methods are BB(14), BB(8,3), BB(6,4), BB(5,5), BB(4,6), BB(3,8), and BB(2,13).</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>I think the first Busy Beaver function values that exceed the largest numbers ever constructed by humans using computable methods are BB(14), BB(8,3), BB(6,4), BB(5,5), BB(4,6), BB(3,8), and BB(2,13).</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;"><br></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;"><br></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>I think BB(6) won't exceed &lt;math&gt;f_\omega(<del style="font-weight: bold; text-decoration: none;">1000</del>)&lt;/math&gt;, BB(3,3) won't exceed &lt;math&gt;10^{1000}&lt;/math&gt;, and BB(2,5) won't exceed &lt;math&gt;10\uparrow\uparrow 1000&lt;/math&gt;.</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>I think BB(6) won't exceed &lt;math&gt;f_\omega(<ins style="font-weight: bold; text-decoration: none;">36</ins>)&lt;/math&gt;, BB(3,3) won't exceed &lt;math&gt;10^{1000}&lt;/math&gt;, and BB(2,5) won't exceed &lt;math&gt;10\uparrow\uparrow 1000&lt;/math&gt;.</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;"><br></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;"><br></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>[[User:Jacobzheng|Jacobzheng]] ([[User talk:Jacobzheng|talk]]) 15:24, 13 October 2026 (UTC)</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>[[User:Jacobzheng|Jacobzheng]] ([[User talk:Jacobzheng|talk]]) 15:24, 13 October 2026 (UTC)</div></td></tr> <!-- diff cache key mediawiki:diff:1.41:old-9074:rev-9085:php=table --> </table>

Azerty https://wiki.bbchallenge.org/w/index.php?title=Talk:Busy_Beaver_Frontier&diff=9074&oldid=prev 2026-10-13T15:25:45Z

<p></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 15:25, 13 October 2026</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5">Line 5:</td> <td colspan="2" class="diff-lineno">Line 5:</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>I think the first Busy Beaver function values that exceed the largest numbers ever constructed by humans using computable methods are BB(14), BB(8,3), BB(6,4), BB(5,5), BB(4,6), BB(3,8), and BB(2,13).</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>I think the first Busy Beaver function values that exceed the largest numbers ever constructed by humans using computable methods are BB(14), BB(8,3), BB(6,4), BB(5,5), BB(4,6), BB(3,8), and BB(2,13).</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;"><br></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;"><br></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>I think BB(6) won't exceed &lt;math&gt;f_\omega(<del style="font-weight: bold; text-decoration: none;">36</del>)&lt;/math&gt;, BB(3,3) won't exceed &lt;math&gt;10^1000&lt;/math&gt;, and BB(2,5) won't exceed &lt;math&gt;10\uparrow\uparrow 1000&lt;/math&gt;.</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>I think BB(6) won't exceed &lt;math&gt;f_\omega(<ins style="font-weight: bold; text-decoration: none;">1000</ins>)&lt;/math&gt;, BB(3,3) won't exceed &lt;math&gt;10^<ins style="font-weight: bold; text-decoration: none;">{</ins>1000<ins style="font-weight: bold; text-decoration: none;">}</ins>&lt;/math&gt;, and BB(2,5) won't exceed &lt;math&gt;10\uparrow\uparrow 1000&lt;/math&gt;.</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;"><br></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;"><br></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>[[User:Jacobzheng|Jacobzheng]] ([[User talk:Jacobzheng|talk]]) 15:24, 13 October 2026 (UTC)</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>[[User:Jacobzheng|Jacobzheng]] ([[User talk:Jacobzheng|talk]]) 15:24, 13 October 2026 (UTC)</div></td></tr> <!-- diff cache key mediawiki:diff:1.41:old-9073:rev-9074:php=table --> </table>

Jacobzheng https://wiki.bbchallenge.org/w/index.php?title=Talk:Busy_Beaver_Frontier&diff=9073&oldid=prev 2026-10-13T15:24:58Z

<p>Add a few more guesses</p> <p><b>New page</b></p><div>I&#039;m adding a few more guesses:<br /> <br /> I think the first busy beaver function values that exceed Graham&#039;s number are BB(7), BB(4,3), BB(3,4), and BB(2,6).<br /> <br /> I think the first Busy Beaver function values that exceed the largest numbers ever constructed by humans using computable methods are BB(14), BB(8,3), BB(6,4), BB(5,5), BB(4,6), BB(3,8), and BB(2,13).<br /> <br /> I think BB(6) won&#039;t exceed &lt;math&gt;f_\omega(36)&lt;/math&gt;, BB(3,3) won&#039;t exceed &lt;math&gt;10^1000&lt;/math&gt;, and BB(2,5) won&#039;t exceed &lt;math&gt;10\uparrow\uparrow 1000&lt;/math&gt;.<br /> <br /> [[User:Jacobzheng|Jacobzheng]] ([[User talk:Jacobzheng|talk]]) 15:24, 13 October 2026 (UTC)</div>

Jacobzheng