On Some Divisibility Properties of (2n n)
Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 513-518
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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.
Erdös, P. On Some Divisibility Properties of (2n n). Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 513-518. doi: 10.4153/CMB-1964-047-5
@article{10_4153_CMB_1964_047_5,
author = {Erd\"os, P.},
title = {On {Some} {Divisibility} {Properties} of (2n n)},
journal = {Canadian mathematical bulletin},
pages = {513--518},
year = {1964},
volume = {7},
number = {4},
doi = {10.4153/CMB-1964-047-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-047-5/}
}
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