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 ...

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 ...

The discovery may aid research in both mathematics and materials science. “Prime numbers have beautiful structural properties, including unexpected order, hyperuniformity and effective limit-periodic ...

Prime numbers, vital in mathematics and competitive exams, can be quickly identified using a systematic approach. This method involves checking divisibility by primes up to the square root of the ...