Primes Graph
Code
Mathematics
Primes have a hidden network structure.
Prime numbers are the atoms of the numeric world and they can be used to uncover relationships between any pair of numbers. To be precise, the relationships we discuss below is defined as
\[ x\sim y \Leftrightarrow |x-y|=0\mod 2^p, \;p\in \Bbb{P} \] with \(\Bbb{P}\) the prime numbers. For each prime you get another network and as can be seen below the topology of the network is very different for each value.