Equations, like numbers, cannot always be split into simpler elements. Researchers have now proved that such “prime” equations become ubiquitous as equations grow larger. Prime numbers get all the ...

“We’ve been stuck and running out of ideas on the problem for a long time, so it’s automatically exciting when anyone comes up with new insights,” said James Maynard, a mathematician at the University ...

This is a preview. Log in through your library . Abstract The central question of this note concerns the existence of prime elements in polynomial rings. In it are established for polynomial rings ...

This is a preview. Log in through your library . Abstract We show that for every nonzero prime ideal P in a Noetherian domain R there are either just one or infinitely many prime ideals of the ...