Published on: 2025-06-22 07:00:00
Other Diophantine equations, such as x2 + y2 = 3, don’t have any integer solutions. Hilbert’s 10th problem asked whether it’s always possible to tell if a given Diophantine equation has integer solutions. Does an algorithm exist to determine this for every equation, or is the problem undecidable? There might be no hope for a complete and systematic approach to all of mathematics—or even all 23 of Hilbert’s problems—but one might still exist when it comes to Diophantine equations, forming a micro
Keywords: diophantine hilbert integers problem solutions
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