All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
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: ( You must be logged in to post comments.)
  Subject Author Date
re: SolutionSteve Herman2016-02-29 11:31:50
SolutionSolutionBrian Smith2016-02-28 19:15:30
Some ideasarmando2016-02-14 10:32:27
re(2): Non-answerJer2016-02-08 20:08:53
Some Thoughtsre: Non-answerAdy TZIDON2016-02-08 16:47:32
Some ThoughtsNon-answerJer2016-02-08 15:42:16
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information