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Sets' intersection (Posted on 2017-02-16) |
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Let k be a positive integer.
Prove that there must exist a positive integer n such that the sets A( A={1^2, 2^2, 3^2, . . . })
and B ( B = {1^2+n, 2^2+n, 3^2+n, . . . }) share exactly k identical members.
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