[ July 27, 2003 ]
Expressions with a palindromic look
Here is an expression that I wrote down a while ago.
When you consider only its digits you'll notice
that we deal here with a palindrome ie, 3233223323.
(3^2)^3 + ((3^2)2)^3 = 3^(2^3)
equivalent to 729 + 5832 = 6561 or 93 + 183 = 38.
A neat fact published in newsgroup sci.math.
and announced as a " multi-palindromic bi-digital curiosity ".
by Don Mcdonald dd. Sep 29 1996.
Exist there other non-trivial expressions possessing such a
beautiful palindromic (symmetrical) look regarding its digits ?
The 37th Mersenne Prime
23021377 – 1
has a prime exponent that can be rewritten
as a palindromic expression in the following manner
3021377 = 1 * 2 * 34 * 44432 + 1
and 1234444321 is a beautiful palindromic number.
A neat fact published in newsgroup rec.puzzles
makes this "an easy to remember mersenne prime ".
also by Don Mcdonald dd. May 15 2000.
A000149 