Amateur Quest For Lychrel Numbers
Habberhead writes "Some people are aware of the quest for a palindromic solution for the number 196. Basically any number that doesn't form a palindrome by reversing and adding its digits is known as a Lychrel Number. (Sequence Number A023108 of Sloan's On-Line Encyclopedia of Integer Sequences) The number 196 happens to be the first of them. In over a year's worth of time, and more than 2 quadrillion calculations, this guy at www.p196.org has reversed and added the number over 100 MILLION times. His current answer is over 41 million digits long! Apparently he and a few others are also working on a distributed computing program for finding larger and larger Lychrel Numbers. It looks like they have in mind a Seti@Home style program with visible results."
I've found another one!!!
;-)
Try doing it with 691!
There is one misprint:
256 + 652 is not 908 but 808.
The number 196 NEVER becomes a palindrome, no matter how many iterations you do. I have assuredly found an admirable proof of this, but the Post Comment box is too narrow to contain it.
(Apologies to Fermat.)
I hate you. I spent an hour writing a program to calculate these damn numbers and crunching on 691 before I got the joke :P
Oh well, I learnt a bit of GMP in the process, guess it was not all wasted.