Ramanujan–Nagell equation
= Ramanujan–Nagell equation
{wiki=Ramanujan–Nagell_equation}
The Ramanujan–Nagell equation is a famous equation in number theory given by: \\\[ 2^n = x^2 + 7 \\\] where \\(n\\) is a non-negative integer and \\(x\\) is an integer. The equation states that \\(2^n\\) can be expressed as the sum of a perfect square \\(x^2\\) and the integer 7. The equation is considered particularly interesting because it leads to a list of specific solutions.