By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of ...

Number Theory is one of the oldest branches of modern mathematics. It is motivated by the study of properties of integers and solutions to equations in integers. Many of its problems can be stated ...

To a nonmathematician, having the letter "i" represent a number that does not quite exist and is "imaginary" can be hard to ...

For example, if \(a \textgreater 3\), then any number that is bigger than 3 is a possible answer, from any decimal slightly bigger than 3 to infinity. List the integer solutions to \(-5 \textless ...

Some mathematics can simply never be known ... and that aren’t limited to integers). In this case, every Diophantine equation has a solution, and the answer to Hilbert’s 10th problem is a resounding ...