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x3(y3 +z3) = 2012(xyz +2). N3. Determine all integers m ≥ 2 such that every n with m 3 ≤ n ≤ m 2 divides the binomial coefficient n m−2n. N4. An integer a is called friendly if the equation (m2 + n)(n2 + m) = a(m − n)3 has a solution over the positive integers. a) Prove that there are at least 500 friendly integers in the set {1,2 ... kupu kupu slot