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Determine the set T - [ILL 1977]

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January 11, 2011
modular arithmeticnumber theoryrelatively primenumber theory proposed

Problem Statement

Let zz be an integer >1> 1 and let MM be the set of all numbers of the form zk=1+z+⋯+zk, k=0,1,…z_k = 1+z + \cdots+ z^k, \ k = 0, 1,\ldots. Determine the set TT of divisors of at least one of the numbers zkz_k from M.M.
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