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Home » Olympiad Section » Number Theory » Number Theory Unsolved Problems
 
x^2-y^3=n
Moderators: amfulger, Arne, darij grinberg, freemind, harazi, Megus, N.T.TUAN, orl, pbornsztein, ZetaX
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kiemkhach
P versus NP
P versus NP

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#1
x^2-y^3=n
my friend
find such that has a integral solution.

PostPosted: Thu Feb 17, 2005 11:33 pm  Back to top 
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Pascual2005
Navier-Stokes Equations
Navier-Stokes Equations


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#2
it seems like an open problem to me, at least i am sure it uses advanced algebraic number theory.
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PostPosted: Fri Feb 18, 2005 5:30 am  Back to top 
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RobertuX
Poincare Conjecture
Poincare Conjecture


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#3
Re: x^2-y^3=n
my friend
kiemkhach wrote:
find such that has a integral solution.


Well, I think you need to uses a stronger language to define the problem, because takin and you get that one is , plese explain better the problem, if not this problem ... is for newbies. Wink

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PostPosted: Fri Feb 18, 2005 9:10 am  Back to top 
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fleeting_guest
Yang-Mills Theory
Yang-Mills Theory

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#4
it is a famous unsolved problem.
kiemkhach wrote:
find such that has a integral solution.


Good luck. See http://arXiv.org/abs/math/0005139

Also relevant is Tunnell's solution (conditional on Birch-Swinnerton-Dyer conjecture for elliptic curves) of the Congruent Number Problem, i.e. which are values of .

PostPosted: Fri Feb 18, 2005 3:27 pm  Back to top 
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