SI
SI
discoversearch

We've detected that you're using an ad content blocking browser plug-in or feature. Ads provide a critical source of revenue to the continued operation of Silicon Investor.  We ask that you disable ad blocking while on Silicon Investor in the best interests of our community.  If you are not using an ad blocker but are still receiving this message, make sure your browser's tracking protection is set to the 'standard' level.
Pastimes : Thread Morons -- Ignore unavailable to you. Want to Upgrade?


To: Michelino who wrote (3283)8/4/1998 12:36:00 AM
From: S. maltophilia  Read Replies (1) | Respond to of 12810
 
Neat. What is that one number that is the exception? What is the next number over 10,000? Is there a maximum number of steps before the palindromic number is obtained?

Better yet, do you have a source or a link to this?



To: Michelino who wrote (3283)8/4/1998 3:35:00 PM
From: jhild  Read Replies (1) | Respond to of 12810
 
So palindromes of a sort are almost as common as integers.

While the set of integers is infinite, there are significantly fewer palindromes. My rough calculation:
1 digit has 10 of 10
2 digit has only 9 out of 99 possibilities
3 digit has 90 out of 899 possibilities
4 digit has 90 out of 8999 possibilities
5 digit has 810 out of 89999 possibilities
6 digit has 810 out of 899999 possibilities
7 digit has 7290 out of 8999999 possibilities
8 digit has 7290 out of 89999999 possibilities
9 digit has 65610 out of 899999999 possibilities

as you can see while integer numbers are unbounded in extent, the percentage of palindromes among these becomes quite small. With that in mind, perhaps your corollary: Or moronic theories about Canadian shorter-financed basher hordes. [being as plentiful] may be in error.

There seems to be many more moronic theories as a percentage, I believe. I will grant, however, that their number is clearly unbounded and they are certainly unfounded.

Best wishes.