Prime divisors of some shifted products

Eric Levieil, Florian Luca, Igor E. Shparlinski
2005 International Journal of Mathematics and Mathematical Sciences  
We study prime divisors of various sequences of positive integersA(n)+1,n=1,...,N, such that the ratiosa(n)=A(n)/A(n−1)have some number-theoretic or combinatorial meaning. In the casea(n)=n, we obviously haveA(n)=n!, for which several new results about prime divisors ofn!+1have recently been obtained.
doi:10.1155/ijmms.2005.3057 fatcat:k77ugbsaezggrochz2pxtbkafy