Math Problem

Discussion in 'Mayberry Lounge' started by dirtypablo, Jan 19, 2015.

  1. dirtypablo

    dirtypablo Brown Belt

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    Looking to find a set of integers such that the sum of any subset of the set is unique. For instance - 1,3,5 works. 1+3, 1+5, 3+5, do not equal each other or any individual number in the set. But 2,3,5 doesnt. 2+3=5.



    Anyone have any ideas on how to go about generating such a set? 2^n works, but I would like to find a set with at least 8 numbers on the same order of magnitude.
     
  2. MortalWombat

    MortalWombat Vombatus Sherdoggus

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    Would primes work? Barking up the wrong tree?

    Edit: primes beyond 2?
     
  3. El Chimpo

    El Chimpo Cruel Man Platinum Member

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    smoke weed and itll come to you in a dream
     
  4. dirtypablo

    dirtypablo Brown Belt

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    3,5,7,11,13.. 7+11=18, 13+5=18. Nope.
     
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  5. Michaelangelo

    Michaelangelo Okay USA Platinum Member

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  6. Tankeray

    Tankeray The Progeny of Beast of Woe

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    e=mc squared
     
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  7. irish_thug

    irish_thug Meme Mod Staff Member Senior Moderator

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    Fedor > Arlovski > Werdum > Fedor

    Mmath problem
     
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  8. dirtypablo

    dirtypablo Brown Belt

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  9. MortalWombat

    MortalWombat Vombatus Sherdoggus

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    2, 3, 2*3n... where n = 1, 2, 3, ...?


    Edit: not quite right with the generator, I think. The set is

    2, 3, 6, 12, 24 etc, so each number is the sum of all previous + 1?

    Edit: duh, that's what you said, basically. Nevermind.
     
    Last edited: Jan 19, 2015
  10. HUNTERMANIA

    HUNTERMANIA "I felt it." Platinum Member

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    I remember doing this shit in 5th grade, it was like some special math assignment.... I don't remember exactly how I did it because that was in like 1998 or something, lol, and I don't think I'm gonna take even a little bit of time to try to figure it out now, but, I wish you the best and thanks for the memories :)
     
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  11. dirtypablo

    dirtypablo Brown Belt

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    Ya, that set works, but grows exponentially. Ive seen a few articles on properties of similar sets, but not too much on how to generate them, aside from exponential growth models. There may not be a (known) way to generate such sets, just wondering if it was something obvious I wasnt seeing.
     
  12. Blackened

    Blackened It is a new era! Double Yellow Card

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    You've discovered the magick of the 23 enigma. Now, read the Book of Lies by Aleister Crowley
     
  13. 22k

    22k ベルセルク Yellow Card

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  14. MortalWombat

    MortalWombat Vombatus Sherdoggus

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    ...
     
    Last edited: Jan 19, 2015
  15. no fat chicks

    no fat chicks Worlds greatest poster

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    what is this evil
     
  16. jmag

    jmag Brown Belt

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    nm-
     
    Last edited: Jan 20, 2015
  17. HUNTERMANIA

    HUNTERMANIA "I felt it." Platinum Member

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    my thoughts exactly, what kind of magic is this
     
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  18. Smokes

    Smokes Purple Belt

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    Can any of yous help me with my problem.

    What is the right answer to 5 3/4 × 3 3/4 inches.


    [​IMG]
     
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  19. TeTe

    TeTe Favorite Worst Nightmare Staff Member Senior Moderator

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  20. TrevorRoss

    TrevorRoss Double Yellow Card Double Yellow Card

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    Eh? How does this generate revenue or get you pussy? Bah! Waste of time!!
     
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