Nevertheless, people have known since ancient times that infinitely many ... using what mathematicians call prime number sieves. These constructs can be imagined as a real sieve: you tip all the ...

The conjecture predicts that there are infinitely many such pairs among the counting numbers, or integers. Mathematicians made a burst of progress on the problem ... prime polynomials, it’s ...

In the nineteenth century, mathematicians proved the Prime Number Theorem. Given some large natural number, the theorem gives a rough estimate for how many numbers ... in the problem, for which ...