111111111....or maybe not! *
A version of "hopscotch" has this layout:
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.
Charlie's list had one more (43516987) which my method should have picked up. I made "short lists" of candidates for the last three tests (Triangulars 105,325,351,741; Squares 169,196,529,576;Fibonaccis 610,987) after eliminating ones with leading zero, repeated digits, or no match from the preceding or following subset. I overlooked the seventh set, but we both have the same first and last sets. For this one I did not use a program or a calculator, since it seemed the four subsets were small enough to inspect directly.
I have no clue what might be significant about the first and last. They factor as:
23516987 = 13 * 59 * 30661
83257610 = 2 * 5 * 821 * 10141
Signifiers??
