Number theory is a branch of mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects
The Babylonians demonstrated an early understanding of Pythagorean triples.
The Riemann hypothesis is of interest in analytic number theory.
Number theorists Paul Erdős and Terence Tao in 1985, when Erdős was 72 and Tao was 10
Riemann zeta function ζ(s) in the complex plane. The color of a point s gives the value of ζ(s): dark colors denote values close to zero and hue gives the value's argument.
The Ulam spiral or prime spiral is a graphical depiction of the set of prime numbers, devised by mathematician Stanisław Ulam in 1963 and popularized in Martin Gardner's Mathematical Games column in S
Number theory
…The distribution of prime numbers, a central point of study in number theory, illustrated by an Ulam spiral. It shows the conditional independence between being prime and being a value of certain quadratic polynomials. Number theory is a branch of mathematics…
Ulam spiral of size 150×150 showing both prime and composite numbers