Claim 3VDE - 3Var DiophantineEquations 2050

The Claim

The problem is to solve every Diophantine Equation in 3 variables. [A Diophantine Equation sets a polynomial with integer coefficients equal to 0. In the 3 variable case, P(x,y,z)=0. Solutions x,y,z must be integers; negative numbers are allowed. An example of a hard Diophantine Equation is x^3 + y^3 + z^3 - 30 = 0.] We want an algorithm that, given any such equation, reports the NUMBER of solutions (which will sometimes be zero or infinity). By the end of the year 2050, either an algorithm will be proven, or the problem will be proven undecidable. The conditions of the Claim are the same as for the Goldbach Conjecture Claim.

Judge's Statement

None.

The Market

     1 @ 1   haggis (2155)
     1 @ 1   nazone (573)
    20 @ 20  tWD (3601)
     1 @ 30  Loophole (97)
     1 @ 31  Loophole (97)
     1 @ 32  Loophole (97)
    10 @ 32  tWD (3601)
     1 @ 33  Loophole (97)
     1 @ 34  Loophole (97)
     1 @ 35  Loophole (97)
     1 @ 36  Loophole (97)
     1 @ 37  Loophole (97)
     1 @ 38  Loophole (97)
     1 @ 39  jdc (3519)
     1 @ 39  Loophole (97)
     

Price Plot for life of 3VDE

Last trade price: 39 Current ask price: 80 Current bid price: 39 Pairs outstanding: 96 Players participating: 15 View the ticker for this Claim. Your cash balance: 1214.40 Your holdings in this Claim: 3 Your UID: Your password:

    15 @ 80  gmoney (3749)
     5 @ 80  Karl Hallowell (73)
     6 @ 85  Karl Hallowell (73)
    10 @ 90  Karl Hallowell (73)
    20 @ 95  Karl Hallowell (73)
   167 @ 97  Geronimo Jones (2986)
   250 @ 98  Geronimo Jones (2986)
    50 @ 98  Karl Hallowell (73)
  2600 @ 99  Geronimo Jones (2986)