David Hilbert’s Tenth Problem and the Art and Science of Problem Solving

“Our goal is to write and publish a manuscript about our solution to David Hilbert’s Tenth Problem. The work is ongoing and very challenging. And we hope to complete our work by January 06, 2023.” — Dave.

Important Reference Links:

Searching for a valid proof of the abc Conjecture;

Are Diophantine equations in four variables solvable?

P versus NP Problem: Is P = NP?

What types of Diophantine equations are unsolvable?

On the Shapes of Surfaces and the Solutions to DEs;

Getting Things Done (GTD) In Mathematics.

IMPORTANT UPDATE: WE BELIEVE THE GOAL IS NOT COMPLETED…

GO BLUE! πŸ‘βœŒ

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Published by Dave

"May all beings be happy and peaceful. Thank you, Lord GOD! Praise you, Lord GOD! Love you, Lord GOD! Trust you, Lord GOD! Bless you, Lord GOD! Amen!" πŸ˜‚ P.S. Go Blue! πŸ‘ ✌

One thought on “David Hilbert’s Tenth Problem and the Art and Science of Problem Solving

  1. Given a polynomial Diophantine equation, T(X) = k, can we decide its solvability in polynomial time?

    We do not know!

    Therefore, David Hilbert’s Tenth Problem is open!

    Go Blue! πŸ™‚

    Please solve a polynomial Diophantine equation with 100 unknown variables. Please see the link below for details and please download the file, polyDE100.pdf, that contains a copy of the Diophantine equation.

    What types of Diophantine equations are unsolvable?

    Liked by 1 person

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