t has been recently explained that Riemann rearrangement theorem is wrong [1], and that it has never been correctly proved. In [1] was demonstrated, on a famous example, that it is not the rearrangement of the elements, but rather the omission of elements of the conditionally convergent series, that would lead to a different summation result.The example that was used in [1] does not strictly follow the Riemann rearrangement method that is proposed in his theorem. It was correctly detected by Google's AI module. In this paper an example that follows the Riemann rearrangement method is going to be presented and again, it is going to be explained that the reason the "rearranged"series has a different sum is the omission of the infinite number of elements of the original series. Generally speaking, the rearrangement method has no critical impact on the summation result — the summation result depends on the sum of elements that are not included in the sum, and that is very simple to understand