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Does there exist an infinite number of sets

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October 5, 2010
modular arithmeticnumber theory unsolvednumber theory

Problem Statement

Does there exist an infinite number of sets CC consisting of 19831983 consecutive natural numbers such that each of the numbers is divisible by some number of the form a1983a^{1983}, with a∈N,a≠1?a \in \mathbb N, a \neq 1?
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