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    <title>MaplePrimes - comments on Post, MRB constant N</title>
    <link>http://www.mapleprimes.com/posts/98991-MRB-Constant-N</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Fri, 12 Jun 2026 01:40:45 GMT</lastBuildDate>
    <pubDate>Fri, 12 Jun 2026 01:40:45 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The latest comments added to the Post, MRB constant N</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - comments on Post, MRB constant N</title>
      <link>http://www.mapleprimes.com/posts/98991-MRB-Constant-N</link>
    </image>
    <item>
      <title>Let x=MRB constant and c=Takeuchi-Prellberg</title>
      <link>http://www.mapleprimes.com/posts/98991-MRB-Constant-N?ref=Feed:MaplePrimes:MRB constant N:Comments#comment99254</link>
      <itunes:summary>&lt;p&gt;Let x=MRB constant and c=&lt;a href="http://mathworld.wolfram.com/Takeuchi-PrellbergConstant.html"&gt;Takeuchi-Prellberg Constant&lt;/a&gt;&amp;nbsp;~= 2.239433104005260731754785.&lt;/p&gt;
&lt;p&gt;Then&lt;/p&gt;
&lt;p&gt;&lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=dc4e8569afd9749c55c2c3b32f46c7c3.gif" alt="(59-4016*c) / (44+3407*c)"&gt;&amp;nbsp;= log(1/2-x) with an error &amp;lt; &lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=e6c1d7955e79e18478b12126bec88562.gif" alt="12/10000000000000000000"&gt;.&lt;/p&gt;
&lt;p&gt;Digits := 23; x := .1878596424620671202485; c := 2.239433104005260731754785; a := (59-4016*c)/(44+3407*c); b := log(1/2-x); abs(a-b)&lt;/p&gt;
&lt;p&gt;1.1699*10^(-18)&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, MRB constant N</description>
      <guid>99254</guid>
      <pubDate>Mon, 22 Nov 2010 06:27:42 Z</pubDate>
      <itunes:author>Marvin Ray Burns</itunes:author>
      <author>Marvin Ray Burns</author>
    </item>
    <item>
      <title>&amp;nbsp;Let x=MRB constant and d=Hall-Montgomery</title>
      <link>http://www.mapleprimes.com/posts/98991-MRB-Constant-N?ref=Feed:MaplePrimes:MRB constant N:Comments#comment99389</link>
      <itunes:summary>&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;Let x=MRB constant and d=&lt;a href="http://mathworld.wolfram.com/Hall-MontgomeryConstant.html"&gt;Hall-Montgomery Constant&lt;/a&gt; ~= 0.17150049314153606586&lt;/p&gt;
&lt;p&gt;Then&lt;/p&gt;
&lt;p&gt;&lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=2fed1f9929cd38b43d937f239dc42f0c.gif" alt="(18+210*d)/(778+37*d)"&gt;&amp;nbsp;=&amp;nbsp;log(2)-1+2*x with an orror ~=&lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=df0a5c4190f62f4472103ce006ed5a51.gif" alt="222/10000000000000000"&gt;&lt;/p&gt;
&lt;p&gt;Digits:=23:x:=&amp;nbsp;.1878596424620671202485: d := .17150049314153606586: evalf((210*d+18)/(37*d+778)+(1-log(2)-2*x))&lt;/p&gt;
&lt;p&gt;-2.223*10^(-13)&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;span&gt;&amp;nbsp;
&lt;p&gt;Let e= the&amp;nbsp;number e, x=MRB constant and f=&lt;a href="http://mathworld.wolfram.com/RandomFibonacciSequence.html"&gt;Viswanath's constant&lt;/a&gt; ~= 1.1319882487943&lt;/p&gt;
&lt;p&gt;&lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=7d167f6b6c83be7cad8f33a67a2ddf52.gif" alt="5*exp(1)-41018*f*(1/17773)"&gt;&amp;nbsp;= 10-log(2*x) with an error&amp;nbsp;~= &lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=bda33b2a104bc10534a63cbbf6d47438.gif" alt="25*10^(-16)"&gt;.&lt;/p&gt;
&lt;p&gt;Digits := 18; x := .1878596424620671202485; f := 1.1319882487943; a := evalf(5*exp(1)-41018*f*(1/17773)); b := 10-log(2*x); a-b&lt;/p&gt;
&lt;p&gt;&lt;br&gt;2.5*10^(-15)&lt;/p&gt;
&lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
</itunes:summary>
      <description>The latest comments added to the Post, MRB constant N</description>
      <guid>99389</guid>
      <pubDate>Thu, 25 Nov 2010 07:41:22 Z</pubDate>
      <itunes:author>Marvin Ray Burns</itunes:author>
      <author>Marvin Ray Burns</author>
    </item>
    <item>
      <title>Let x =MRB constant and g=Gompertz' s constant</title>
      <link>http://www.mapleprimes.com/posts/98991-MRB-Constant-N?ref=Feed:MaplePrimes:MRB constant N:Comments#comment99518</link>
      <itunes:summary>&lt;p&gt;Let x =MRB constant and g=&lt;a href="http://mathworld.wolfram.com/GompertzConstant.html"&gt;Gompertz' s constant&lt;/a&gt; ~=0.596347362323194074341078499369.&lt;/p&gt;
&lt;p&gt;&lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=c2f8904597d2fe4a1b0113dcb9dcf8a1.gif" alt="(5300 + 800*g)/(1497 + 2910*g)"&gt;&amp;nbsp;= 22^x with an error &amp;lt; &lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=5ae438b82dfab2a599576de574946cc5.gif" alt="65/10000000000000000000"&gt;&lt;/p&gt;
&lt;p&gt;Digits := 23; x := .1878596424620671202485; g := .596347362323194074341078499369; a := (5300+800*g)/(1497+2910*g); b := 22^x; a-b&lt;/p&gt;
&lt;p&gt;6.4859*10^(-18)&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, MRB constant N</description>
      <guid>99518</guid>
      <pubDate>Sun, 28 Nov 2010 04:59:15 Z</pubDate>
      <itunes:author>Marvin Ray Burns</itunes:author>
      <author>Marvin Ray Burns</author>
    </item>
    <item>
      <title>Let x =MRB constant and h = Alladi - Grinstead</title>
      <link>http://www.mapleprimes.com/posts/98991-MRB-Constant-N?ref=Feed:MaplePrimes:MRB constant N:Comments#comment99524</link>
      <itunes:summary>&lt;p&gt;Let x =MRB constant and h = &lt;a href="http://mathworld.wolfram.com/Alladi-GrinsteadConstant.html"&gt;Alladi - Grinstead Constant &lt;/a&gt;~=.80939402054063913071793188059409131.&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=8efa2195bfa382d347ea40551dcabbd7.gif" alt="(2095 - 3303*h)/(450*h - 620)"&gt;&amp;nbsp;= 77^x with an error &amp;lt; &lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=5b62dc74f80a3ed5d87d62f3e009ba55.gif" alt="82/1000000000000000000"&gt;.&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;Digits := 23; x := .1878596424620671202485; h := .80939402054063913071793188059409131; a := (2095-3303*h)/(450*h-620); b := 77^x; b-a&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;8.15394*10^(-17)&lt;/p&gt;
&lt;p&gt;&lt;a href="http://marvinrayburns.com"&gt;&lt;/a&gt;&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, MRB constant N</description>
      <guid>99524</guid>
      <pubDate>Sun, 28 Nov 2010 05:53:14 Z</pubDate>
      <itunes:author>Marvin Ray Burns</itunes:author>
      <author>Marvin Ray Burns</author>
    </item>
    <item>
      <title>Let e = the number e, x=MRB constant and</title>
      <link>http://www.mapleprimes.com/posts/98991-MRB-Constant-N?ref=Feed:MaplePrimes:MRB constant N:Comments#comment99556</link>
      <itunes:summary>&lt;p&gt;&lt;br&gt;Let e = the number e, x=MRB constant and j=&lt;a href="http://mathworld.wolfram.com/FoiasConstant.html"&gt;Foias Constant&lt;/a&gt; ~= 1.187452351126501054595&lt;/p&gt;
&lt;p&gt;&lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=c8c48f373cc689baaa7a04b517ee8f6e.gif" alt="(200*exp(1)-1149*j)/2709"&gt;&amp;nbsp; = cos(10*x) with an error&amp;nbsp;&amp;lt; &lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=e80c6024a77ce6b81959d8a4d226f72b.gif" alt="14/1000000000000000"&gt;&lt;/p&gt;
&lt;p&gt;restart; Digits := 23; x := .1878596424620671202485; j := 1.187452351126501054595; a := (200*exp(1)-1149*j)*(1/2709); evalf(a-cos(10*x))&lt;/p&gt;
&lt;p&gt;1.317136283*10^(-14)&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, MRB constant N</description>
      <guid>99556</guid>
      <pubDate>Mon, 29 Nov 2010 01:05:01 Z</pubDate>
      <itunes:author>Marvin Ray Burns</itunes:author>
      <author>Marvin Ray Burns</author>
    </item>
    <item>
      <title>Let x=MRB constant and j=Theodorus's Constant = sqrt(3</title>
      <link>http://www.mapleprimes.com/posts/98991-MRB-Constant-N?ref=Feed:MaplePrimes:MRB constant N:Comments#comment99557</link>
      <itunes:summary>&lt;p&gt;Let x=MRB constant and k=&lt;a href="http://mathworld.wolfram.com/TheodorussConstant.html"&gt;Theodorus's Constant&lt;/a&gt; = sqrt(3)&lt;/p&gt;
&lt;p&gt;&lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=81f4a90ed8bf04f1e742fb7a85943a86.gif" alt="(82*k)/209+113/394"&gt;&amp;nbsp;= -cos(85*x)with an error &amp;lt; &lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=8f879201be01acfafeda217987fc8186.gif" alt="89/100000000000000000000"&gt;&lt;/p&gt;
&lt;p&gt;&lt;br&gt;restart; Digits := 23: x := .1878596424620671202485: k := sqrt(3); a := (82*k)/209+113/394 : evalf(a+cos(85*x))&lt;/p&gt;
&lt;p&gt;&lt;br&gt;8.8464*10^(-19)&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, MRB constant N</description>
      <guid>99557</guid>
      <pubDate>Mon, 29 Nov 2010 01:15:00 Z</pubDate>
      <itunes:author>Marvin Ray Burns</itunes:author>
      <author>Marvin Ray Burns</author>
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