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Interesting representation (Posted on 2016-02-08) Difficulty: 2 of 5
Show that every positive integer is a sum of one or more numbers of the form 2^r*3^s, where r and s are nonnegative integers and no summand divides another.

Remarks: This problem was originally created by Paul Erdős.
Note that the representations need not be unique: for instance, 11 = 2+9 = 3+8:

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution Comment 6 of 6 |
(In reply to Solution by Brian Smith)

Very nicely done.  Yes, that is simpler than it seems.  Very elegant.
  Posted by Steve Herman on 2016-02-29 11:31:50

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