Conspiracy Theories Many of number theory’s most important problems arise when mathematicians think about how multiplication and addition relate in terms of the prime numbers.

The conjecture predicts that whether one integer has an even or odd number of prime factors does not influence whether the next or previous integer also has an even or odd number of prime factors.

A prime number is a whole number that can only be divided by 1 and itself. A former Nvidia programmer discovered the world's largest known prime number using graphics processing units.

Prime numbers just got less lonely. A proof announced this week claims to show that the number of primes with a near-neighbour that is also a prime number is infinite – although the "near ...

The largest-ever prime number has been discovered at the University of Central Missouri. It breaks the previous record by almost 5 million digits.

Lehner's 1949 results on the j-invariant showed high divisibility of the function's coefficients by the primes p ∈ {2, 3, 5, 7}. Expanding his results, we examine a canonical basis for the space of ...