1 + 2 + 3 + 4 + ⋯

The series \( 1 + 2 + 3 + 4 + \ldots \) is known as the sum of natural numbers. In traditional mathematics, this series diverges, which means that as you keep adding the numbers, the sum increases without bound and does not converge to a finite value. However, in the field of analytic number theory, there is a concept called "regularization" which assigns a value to divergent series.