One favorite is the prime number theorem — a statement that describes the distribution of prime numbers, those whose only divisors are 1 and themselves. While mathematicians never know whether a proof ...

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 smaller than the given number are ...

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 smaller than the given number are ...

The prime number theorem and Riemann hypothesis get the attention and the money, but both followed up on earlier, less glamorous data analysis. Modern prime mysteries.

The Prime Number Theorem asserts that for x sufficiently large (and 10-digits is not too bad), we have the following approximation. It follows that π(9999999999) ≈ 434,294,481 and π(2002000000 ...

This is now the largest known prime number, eclipsing the previous record-holder, which had been discovered at UCLA in 2008. The new number has 17,425,170 digits —just writing them down makes ...

The online computer game “Is this prime?” tests a player’s knowledge of prime numbers—and just surpassed 2,999,999 attempts. Give it a whirl.