The notion of n-isoclinism of groups was originally defined by Hall (for n = 1) and later Bioch in order to classify groups of prime power order. Intuitively, we can view it as an expression of how similar the lower and upper central series of two groups are, starting from their n-th terms. In 2022, Letourmy and Vendramin introduced an equivalent of 1-isoclinism for skew braces. In this talk, we extend this notion to larger n, and study some of its basic properties. In particular, we cover the invariance of several nilpotency concepts under skew brace n-isoclinism. This talk is based on a paper in collaboration with Arpan Kanrar and Manoj Kumar Yadav.Â