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More than a million, less than ten (Posted on 2015-01-06) Difficulty: 2 of 5
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.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re: More than 3000, less than 8, computer solutions | Comment 2 of 4 |
(In reply to More than 3000, less than 8, computer solutions by Charlie)

Hi, Ch

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-

b

Better late tan never.

THANKS.




  Posted by Ady TZIDON on 2015-01-08 08:11:59
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