we show that the prime numbers in certain large intervals possess unanticipated order across length scales and represent the first example of a new class of many-particle systems with pure point ...

Two mathematicians have found a strange pattern in prime numbers—showing that the numbers ... bias holds for any divisor. Take 6, for example. All primes have a remainder of 1 or 5 when divided ...

A new analysis by Princeton University researchers has uncovered patterns in primes ... could look for more physical examples," he said. The discovery may aid research in both mathematics and ...

An example is the tessellation ... shows up in a different prime number rule called Maier’s theorem. But it’s too soon to tell whether this thread will lead anywhere. The main advantage of the prime ...

Prime numbers ... Granville, a number theorist at the University of Montreal and University College London. “The point is the wonder of the discovery.” The peculiar pattern had been noted ...

Mathematicians have taken a step forward in understanding patterns within the ... by the same fixed amount. For example, in the sequence 3, 5, 7, each prime number is 2 more than the preceding ...

Two academics have shocked themselves and the world of mathematics by discovering a pattern ... every number is either a prime or can be built by multiplying primes together - (84, for example ...

Two mathematicians have found a strange pattern in prime numbers — showing that the ... sameness bias holds for any divisor. Take 6, for example. All primes have a remainder of 1 or 5 when ...