S={1 4 8 9 16 ...} is the set of perfect integer power. (S={n^(k)|n k in Z k>=2}. )We arrange the elements in S into an increasing sequence {a_(i)}. Show that there are infinite many n such that 9999|a_(n+1)-a_(n)
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S={1 4 8 9 16 ...} is the set of perfect integer power. (S={n^(k)|n k in Z k>=2}. )We arrange the elements in S into an increasing sequence {a_(i)}. Show that there are infinite many n such that 9999|a_(n+1)-a_(n)
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