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It seems to me that if there exists a solution, then there exists infinitely many solutions. For, given a solution S, simply add two occurances of any element to S. For instance, S + {3501, 3501} will also be a solution, and by the definition of multisets is a distinct multiset from S.
Prime XOR
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It seems to me that if there exists a solution, then there exists infinitely many solutions. For, given a solution S, simply add two occurances of any element to S. For instance, S + {3501, 3501} will also be a solution, and by the definition of multisets is a distinct multiset from S.