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On Some Divisibility Properties of (2nn)
Published online by Cambridge University Press: 20 November 2018
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L. Moser [3] recently gave a very simple proof that
1.
has no solutions. In the present note we shall first of all prove that for , which by the fact that there is a prime p satisfying n < p ≤ 2n immediately implies that
2.
has no solutions. It is easy to see on the other hand that
3.
has infinitely many non-trivial solutions.
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- Copyright © Canadian Mathematical Society 1964
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