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.

(In reply to official solution by Charlie)

I don't know why I missed that, it is listed within my spreadsheet compilation.

Interestingly too that missed value begins with the lower Fibonacci number and ends with the higher one which is needed to fulfill the FGH requirement.

Thanks Charlie (have asked levik to make amends).

Edited on August 13, 2009, 12:32 am

Posted by brianjn on 2009-08-13 00:02:59