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AMC 12B 2025 (Problem 23)

Let SS be the set of all integers z>1z>1 such that for all pairs of nonnegative integers (x,y)(x,y) with x<y<zx<y<z, the remainder when 2025x2025x is divided by zz is less than the remainder when 2025y2025y is divided by zz. What is the sum of the elements of SS?
(A)  3041\text{(A)}\;3041(B)  3542\text{(B)}\;3542(C)  3750\text{(C)}\;3750(D)  4044\text{(D)}\;4044(E)  4319\text{(E)}\;4319