A simple, step-by-step breakdown of two “perfect” math proofs. But which prime number is p? It must be on our list of primes, because our list is complete. But it also can’t be on our list of primes, ...

Infinity down, only 69,999,997 to go. New research has proven that prime numbers don't just disappear as numbers get larger — instead, there is an infinite number of prime numbers separated by a ...

An exciting breakthrough by an academic little known before last year is firing up mathematicians. Now even playwrights are getting in on the act. Leslie Katz led a team that explored the intersection ...

Mathematicians have revealed a new category of “digitally delicate” prime numbers. These infinitely long primes turn back to composites faster than Cinderella at midnight with a change of any ...

The proof resolves a nearly 80-year-old problem known as the Duffin-Schaeffer conjecture. In doing so, it provides a final answer to a question that has preoccupied mathematicians since ancient times: ...

Fermat’s last theorem is just one of many examples of innocent-looking problems that can long stymie even the most astute mathematicians. It took about 350 years to prove Fermat’s tantalizing ...

On average, there are as many prime numbers for which the sum of decimal digits is even as prime numbers for which it is odd. This hypothesis, first made in 1968, has recently been proven by ...

While I was looking for a gift for a child’s birthday, a math book fell into my hands. I am always fascinated when authors write about abstract scientific topics for children, whether it’s on Albert ...

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Digitally delicate prime numbers become composite with this one weird trick. Math researchers proved these primes exist using the bucket proof method. There are no known examples so far, but ...