This number can be expressed:
- by 4 distinct digits in bases 4,8,10;
- by 5 distinct digits in bases 6,7,11,15 and
- by 6 distinct digits in base 16.
There is no data about other bases.
Find the number.
(In reply to More than 3000, less than 8, computer solutions
When I created this puzzle, it was done "bottoms up" i.e. describing a certain number by its features,- without checking for redundant solutions.
Since I have anticipated multiple solutions (I assumed 5-10 distinct possibilities, not 3000) I have added that "the digits of base 16 representation form an arithmetic progression".
This amendment (somehow run away ?) should make (hopefully)the puzzle uniquely solvable.....likely, not sure...
Since the solution I had in mind was not mentioned by you, I
would ask, time permitting, that you add the above constraint to your program and by doing this you will significantly improve my puzzle-
Better late tan never.