Prime divisors of some shifted products

Eric Levieil, Florian Luca and Igor E. Shparlinski

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-17

Abstract:

We study prime divisors of various sequences of positive integers A ( n ) + 1 , n = 1 , … , N , such that the ratios a ( n ) = A ( n ) / A ( n − 1 ) have some number-theoretic or combinatorial meaning. In the case a ( n ) = n , we obviously have A ( n ) = n ! , for which several new results about prime divisors of n ! + 1 have recently been obtained.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:694323

DOI: 10.1155/IJMMS.2005.3057

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