1. Joined
    09 Aug '06
    Moves
    5363
    13 Feb '10 01:34
    (or give a counterexample)

    If A^x + B^y = C^z where A,B,C,x,y,z are positive integers and x, y, z are all greater than 2, then A, B, and C must have a common prime factor.
    This is the Beal conjecture.

    http://www.math.unt.edu/~mauldin/beal.html
  2. Standard memberuzless
    The So Fist
    Voice of Reason
    Joined
    28 Mar '06
    Moves
    9908
    06 Mar '10 04:551 edit
    Originally posted by smaia
    (or give a counterexample)

    If A^x + B^y = C^z where A,B,C,x,y,z are positive integers and x, y, z are all greater than 2, then A, B, and C must have a common prime factor.
    This is the Beal conjecture.

    http://www.math.unt.edu/~mauldin/beal.html
    27^4+162^3=9^7

    common prime is 1
  3. Joined
    26 Apr '03
    Moves
    25316
    06 Mar '10 07:41
    Originally posted by uzless
    27^4+162^3=9^7

    common prime is 1
    Sadly, the common prime is 3 🙁
  4. Joined
    11 Nov '05
    Moves
    43938
    06 Mar '10 08:16
    Originally posted by uzless
    27^4+162^3=9^7

    common prime is 1
    Is 1 really a prime?
  5. SubscriberAThousandYoung
    West Coast Rioter
    tinyurl.com/y7loem9q
    Joined
    23 Aug '04
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    24791
    06 Mar '10 20:39
    Originally posted by FabianFnas
    Is 1 really a prime?
    Nope.
  6. Joined
    11 Nov '05
    Moves
    43938
    07 Mar '10 07:38
    Originally posted by AThousandYoung
    Nope.
    So what does "common prime is 1" really mean?
  7. Standard memberTheMaster37
    Kupikupopo!
    Out of my mind
    Joined
    25 Oct '02
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    20443
    07 Mar '10 09:21
    Originally posted by FabianFnas
    So what does "common prime is 1" really mean?
    Nothing. The statement should be

    "common prime is <prime number>"

    or

    "there is no common prime"
  8. Joined
    11 Nov '05
    Moves
    43938
    07 Mar '10 09:26
    Originally posted by TheMaster37
    Nothing. The statement should be

    "common prime is <prime number>"

    or

    "there is no common prime"
    Okay. Thanks.
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