MaplePrimes - comments on Post, MRB constant rational?A

MaplePrimes - comments on Post, MRB constant rational?A http://www.mapleprimes.com/posts/101640-MRB-Constant-RationalA en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Wed, 10 Jun 2026 10:33:10 GMT Wed, 10 Jun 2026 10:33:10 GMT The latest comments added to the Post, MRB constant rational?A http://www.mapleprimes.com/images/mapleprimeswhite.jpg MaplePrimes - comments on Post, MRB constant rational?A http://www.mapleprimes.com/posts/101640-MRB-Constant-RationalA Algebraic normal conjecture 1 http://www.mapleprimes.com/posts/101640-MRB-Constant-RationalA?ref=Feed:MaplePrimes:MRB constant rational?A:Comments#comment101689 Algebraic normal conjecture 1: The digits of the MRB constant are normally distributed, so it is irrational. It has been conjectured that every irrational algebraic number is normal and the MRB constant is a sum of irrational algebraic numbers.  Thus it is not too much of a stretch to conjecture that the digits of the MRB constant are also normally distributed, so if you search far enough into that sting of digits, you will find any particular finite sequence you wish to find. That includes m consecutive 0’s and m digit patterns. However, according to the Archimedean property of real numbers, there exists an integer greater than m called m+1. Since there were only m digits in the pattern, the m+1 digit does not follow that pattern. Thus we have shown that if the MRB constant is normal then it is irrational. The latest comments added to the Post, MRB constant rational?A 101689 Tue, 15 Feb 2011 01:34:09 Z Marvin Ray Burns Marvin Ray Burns  The definition of a normal numbner http://www.mapleprimes.com/posts/101640-MRB-Constant-RationalA?ref=Feed:MaplePrimes:MRB constant rational?A:Comments#comment101791   The definition of a normal numbner is given at <a href="http://mathworld.wolfram.com/NormalNumber.html">http://mathworld.wolfram.com/NormalNumber.html</a>. I had said that it is not too much of a stretch to conjecture that the digits of the MRB constant are also normally distributed. However, to say that the MRB constant is normal is to say that it is irrational with or without this theorem. A rational number is not normal, because the last digits are all 0's or follow a repeating pattern; while an irrational number may be normal, (like sqrt(2) is conjectured to be), or  not normal like the <a href="http://mathworld.wolfram.com/ChampernowneConstant.html">Champernowne constant</a>. So only irrational numbers are normal and if a number is normal it is irrational. So sadly my Algebraic normal conjecture 1 is useless! The latest comments added to the Post, MRB constant rational?A 101791 Thu, 17 Feb 2011 21:23:20 Z Marvin Ray Burns Marvin Ray Burns Normality in Base 10 http://www.mapleprimes.com/posts/101640-MRB-Constant-RationalA?ref=Feed:MaplePrimes:MRB constant rational?A:Comments#comment102558   Here you can see for yourself how normal the first 5,000 digits of the MRB constant are. However, that doesn't mean that the constant is either normal or irrational. It is fun, however, to see its digits being analyzed so quickly!   Now you can view demonstrations in your browser, after a quick download.    <a href="http://demonstrations.wolfram.com/HowNormalIsTheMRBConstant/">http://demonstrations.wolfram.com/HowNormalIsTheMRBConstant/</a> The latest comments added to the Post, MRB constant rational?A 102558 Tue, 15 Mar 2011 19:34:08 Z Marvin Ray Burns Marvin Ray Burns