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Prime numbers are a central topic of study in math. Despite being an object of fascination for millennia, there are still a lot of unsolved problems involving primes. Prime numbers are one of the most ...

From Quanta Magazine (find original story here). In 1847, Gabriel Lamé proved Fermat’s Last Theorem. Or so he thought. Lamé was a French mathematician who had made many important discoveries. In March ...

Mathematicians are finding inevitable structures in sufficiently large sets of integers. Despite that, Furstenberg’s paper left a lasting imprint on mathematics. His new argument contained a kernel of ...

Like a mirror image of Bedford's Law, mathematicians have found a pattern in prime numbers that raises more questions than it answers. Share on Facebook (opens in a new window) Share on X (opens in a ...

“You don’t have to believe in God, but you have to believe in The Book,” the Hungarian mathematician Paul Erdős once said. The Book, which only exists in theory, contains the most elegant proofs of ...

Despite multiple conferences dedicated to explicating Mochizuki’s proof, number theorists have struggled to come to grips with its underlying ideas. His series of papers, which total more than 500 ...

Two mathematicians have formulated a proof that has been described as "possibly the most important advance in prime-number theory since the mid-1960s". Primes are the whole numbers that can be divided ...

Infinite sets $P$ and $Q$ of primes are described, $P \subset Q$. For any natural number $n$ it can be decided if $n \in P$ in (deterministic) time $O((\log n)^9 ...

There are infinitely many prime numbers, but the biggest one we know of goes by the name M136279841 and contains more than 41 million digits. When you purchase through links on our site, we may earn ...

Is 170,141,183,460,469,231,731,687,303,715,884,105,727 prime? Before you ask the Internet for an answer, can you consider how you might answer that question without a ...