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 Child Play.. (Posted on 2009-08-07)
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.

 See The Solution Submitted by brianjn No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: computer solution -- whoops! | Comment 4 of 9 |
(In reply to computer solution by Charlie)

Didn't check all the numbers for non-repeated digits. After that check is added:

02 231 169 987 *
03 351 169 987 *
23 351 169 987
31 105 529 987
31 120 049 987 *
41 105 529 987
43 325 576 610
43 351 169 987
61 105 529 987
61 120 049 987 *
83 325 576 610

and, removing those with leading zeros:

23516987
31052987
41052987
43257610
43516987
61052987
83257610

Edited on August 7, 2009, 2:12 pm
 Posted by Charlie on 2009-08-07 14:05:19

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