Braingle Lite



12-digit Oddities

Category:Math
Submitted By:javaguru
Fun:*** (2.47)
Difficulty:**** (3.2)



What characteristic do these three 12-digit numbers share with each other, but with no other 12-digit number?

100307124369
111824028801
433800063225

Show Hint Show Answer



Comments on this teaser


Posted by markmonnin01/07/09
That's amazing trivia! :o

Posted by javaguru01/07/09
Thanks! I've never seen these before, but I was wondering if there were any that fit this pattern, so I wrote a program to find them. Since then I submitted several series to the Online Encyclopedia of Integer Sequences (OEIS) about these numbers. (See http:// www.research.att.com/ ~njas/sequences/A153745.)

Posted by SweetiePi02/15/09
Wow. Cool! :D

Posted by Jimbo03/29/09
Very interesting but you surely aren't expecting us to get all of those properties without looking at the answer , are you? :roll:

Posted by javaguru03/29/09
I agree this is more of a puzzle than a teaser, but I think it's possible to get the answer. If you observe that the numbers are all squares and that their digital sums are all squares, I think it's possible to get the next step with the sum of the digit pairs. :)




Search:
Browse:

Most Popular | Hardest | Easiest




Privacy | Terms
Copyright © 2003