Diophantine equations are used in cryptosystems, since they play a significant role in cryptography, particularly in the realm of public-key cryptography 1 [,2,3. The complexity and computational ...

For decades, a math puzzle has stumped the smartest mathematicians in the world. x 3 +y 3 +z 3 =k, with k being all the numbers from one to 100, is a Diophantine equation that's sometimes known as ...

Diophantine equations, named after the ancient mathematician Diophantus of Alexandria, are polynomial equations whose solutions are sought in integers or rational numbers. From the simplest linear and ...

A set of puzzles called Diophantine problems are often simple to state but hard to solve—though progress could have big implications for the future of mathematics Diophantine geometry is the field of ...