Просто число: Разлика между версии

== Нерешени проблеми ==

Има много нерешени въпроси, свързани с простите числа. Най-важният от тях е [[Хипотеза на Риман|хипотезата на Риман]], която в общи линии твърди, че простите числа са разпределени максимално равномерно. <!--From a physical viewpoint, it roughly states that the irregularity in the distribution of primes only comes from random noise. From a mathematical viewpoint, it roughly states that the asymptotic distribution of primes (about 1/ log ''x'' of number less than ''x'' are primes, the [[prime number theorem]]) also holds for much shorter intervals of length about the square root of ''x'' (for intervals near ''x''). This hypothesis is generally believed to be correct, in particular, the simplest assumption is that primes should have no significant irregularities without good reason. --> Повечето математици считат, че хипотезата е вярна.

<!-- Other famous conjectures have a much greater chance of being true (in a formal sense, they follow from simple heuristic probabilistic arguments) with the lack of a solution more of a reflection of lack of good technical tools (so theoretical physicists would just regard them as being true): -->

 

Други хипотези:

* [[Хипотеза на Голдбах]]: Всяко четно число, по-голямо от 2, може да се представи като сума на две прости числа.