# 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 Hilbertβs Tenth Problem. The work is ongoing and very challenging. And we hope to complete our work by January 06, 2023.” — Dave.

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! πβ

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"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!" π P.S. Go Blue! π β

## 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! π