Sunday, November 27, 2005

What is the Distribution of Palindromic Numbers?

Almost All Palindromes are Composite
Mayumi Sakata, Mathematics, William Jewell College



"An example of a palindromic number (in base 10) is 252 or 581292185. It's just a number that reads the same forward or backward. In this talk we study the distribution of such palindromic numbers, with respect to some fixed base g > 2, over certain congruence classes of numbers using a basic sieve method and exponential sums. One natural question is: "How many palindromic numbers are prime numbers?" We derive a nontrivial upper bound for the number of prime palindromes n < x no matter how large x is. As it turns out, our result shows that almost all palindromes are in fact composite numbers."

This is extremely interesting. If anybody has information on the distribution of palindromic numbers as they might apply to biology, please contact this blogger.

2 comments:

wine said...

I enjoyed reading some of your posts Sean. I was looking for wine cellar designs related information and found your site. I have a wine cellar designs site. You'll find everything about wine, gift baskets, Napa Valley wine tours, and how to keep your wine properly chilled until it's ready to drink. Come and check it out if you get time :-)

wine cooling system said...

Hi Sean, very unique blog you have! I was looking for wine cellar rack related information and came across you rsite. Very good info, I'm definitely going to bookmark you! I have a wine cellar rack site. You'll find everything about wine, gift baskets, Napa Valley wine tours, and how to keep your wine properly chilled until it's ready to drink. Please visit it.