From: JasonADoucette@... (Jason Doucette) Date: 2002-09-03T00:01:05+09:00 Subject: Re: Palindrome for integers "Gavin Sinclair" wrote in message news:<018301c251d0$0f3ba610$882386cb@nosedog>... > Thanks for that. > > I guess those numbers may not be so interesting after all (though that was > always in question). Yes, once I realized that 196 was not the only number that never resolves into a palindome (I, too, was tricked into believing that it was, before I thought more about it), it became much less interesting... > I knew that continuations of 196 (of which there are > perhaps 6 under 10000) wouldn't appear to complete. ....but, once I realized that there are only 4 Lychrel Threads under 10,000 (meaning only 4 unique sequences which all other non-solving numbers converge into), it made the problem very interesting once again - since it means that there is something peculiar about these numbers. > I didn't think of the > "other ways to get to 887" problem. I expect that would generalise, too: there > must be heaps of numbers that get caught up in 196's web indirectly. > > I'd like to know if there are any other starting points that have nothing to do > with 196 or its descendants. Do you know of any? Please visit Wade VanLandingham's site: http://www.p196.org/ Particularly, the Lychrel Records page: http://home.cfl.rr.com/p196/lychrel.html You will see that they have found 29,813 Lychrel Threads (unique sequences which all other non-solving numbers converge into) for all numbers under 1,000,000,000. You may also be interested in my web site: http://www.jasondoucette.com/worldrecords.html It shows my involvement of the 196 Palindrome Quest, but also my search for the Most Delayed Palindromic Number. I hold the current world record with: 100,120,849,299,260 It takes 201 iterations to resolve into a palindrome. http://www.jasondoucette.com/cgi-bin/pal.cgi?100120849299260