111111111....or maybe not! *

A version of "hopscotch" has this layout:

			D		G
A	B	C		F
			E		H

Replace each of the letters with a unique digit from 0 to 9 such that you "hop" from one criterion to the next:
11111 AB is Prime,
11111 BCD is a Triangle,
11111 DEF is a Square and
11111 FGH is a Fibonacci number,
111111111111111 and none begin with a zero.

What 8-digit numbers are formed by this process?
What is significant about the highest and lowest?

* This can be logically deduced albeit a little time consuming.

The choice of word "significant" was clearly poor.

When I originally wrote this found just two numbers which fitted the criteria, one ended with the Fibonacci 610 and the other 987; I felt that somewhat interesting.

Then when I found those in between I didn't really think much further.  But for me it was significant/of interest that the highest number ended with the lower Fibonacci while the reverse was also true.

Posted by brianjn on 2009-08-10 04:48:04