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On Findingfinding all the positive integral solutionsolutions of: $x^2+y^2=z^2+1$

I am a new to MathematicaMathematica. My goal is to find many (if not all) positive integer solutions to the equation:

$x^2+y^2=z^2+1$

using MathematicaMathematica. However the problem is that I can only find a particular solution not many solutions of the given equation using FindInstance.

Can someone help or give the codes in finding the solutions of the given equation?

Any help will be appreciated.

On Finding all the positive integral solution of: $x^2+y^2=z^2+1$

I am a new to Mathematica. My goal is to find many (if not all) positive integer solutions to the equation:

$x^2+y^2=z^2+1$

using Mathematica. However the problem is that I can only find a particular solution not many solutions of the given equation using FindInstance.

Can someone help or give the codes in finding the solutions of the given equation?

Any help will be appreciated.

On finding all the positive integral solutions of $x^2+y^2=z^2+1$

I am a new to Mathematica. My goal is to find many (if not all) positive integer solutions to the equation:

$x^2+y^2=z^2+1$

using Mathematica. However the problem is that I can only find a particular solution not many solutions of the given equation using FindInstance.

Can someone help or give the codes in finding the solutions of the given equation?

Any help will be appreciated.

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C. E.
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I am a new to Mathematica. My goal is to find allmany (if not manyall) positive integralinteger solutions to the equation:

$x^2+y^2=z^2+1$

using Mathematica. However the problem is that I can only find a particular solution not many solutions of the given equation using FindInstanceFindInstance.

Can someone help or give the codes in finding the solutions of the given equation?

Any help will be appreciated.

I am a new to Mathematica. My goal is to find all (if not many) positive integral solutions to the equation:

$x^2+y^2=z^2+1$

using Mathematica. However the problem is that I can only find a particular solution not many solutions of the given equation using FindInstance.

Can someone help or give the codes in finding the solutions of the given equation?

Any help will be appreciated.

I am a new to Mathematica. My goal is to find many (if not all) positive integer solutions to the equation:

$x^2+y^2=z^2+1$

using Mathematica. However the problem is that I can only find a particular solution not many solutions of the given equation using FindInstance.

Can someone help or give the codes in finding the solutions of the given equation?

Any help will be appreciated.

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Jr Antalan
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On Finding all the positive integral solution of: $x^2+y^2=z^2+1$

I am a new to Mathematica. My goal is to find all (if not many) positive integral solutions to the equation:

$x^2+y^2=z^2+1$

using Mathematica. However the problem is that I can only find a particular solution not many solutions of the given equation using FindInstance.

Can someone help or give the codes in finding the solutions of the given equation?

Any help will be appreciated.