# For an enough large integer N, can it be a random seed for small positive integers?

let S(n) be the set of positive integers less than n;
let N be a larger integer than n,for example N=100*n;
let M(n,N) be the set of ( N modulo s ) for any s in S(n);


Can I expect that M(n,N) tends to be more random for larger N?