CERTAIN quadratic series abound in prime numbers 1. Take, for example, the following Sequence in which the consecutive differences are 2, 4, 6, 8, etc. These are all prime numbers; the next term in ...

A pair of mathematicians appears to have discovered that there are unexpected patterns in the prime-number sequence — previously thought to behave more randomly. A prime is a number that is divisible ...

Mathematicians have taken a step forward in understanding patterns within the primes, numbers divisible only by 1 and themselves. According to the new work, the population of prime numbers contains an ...

One of the curious properties of mathematics is its beauty. But exactly what mathematicians mean by beauty is hard to capture. Perhaps the most famous example is Euler’s relation, e iπ + 1 = 0, which ...

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 ...

Number sequences are sets of numbers that follow a pattern or a rule. Each number in a sequence is called a term. There are some special sequences that you should recognise. The most important of ...

A pair of mathematicians appear to have discovered that there are unexpected patterns in the prime number sequence — previously thought to behave more randomly. A prime is a number only divisible by 1 ...