9 citations · 72 across the 55 of their papers we have counts for
4 papers · 2 filters
On intervals (kn,(k+1)n) containing a prime for all n>1
Vladimir Shevelev, Charles R. Greathouse, Peter J. C. Moses
We study values of k for which the interval (kn,(k+1)n) contains a prime for every n>1. We prove that the list of such integers k includes k=1,2,3,5,9,14, and no others, at least f…
A family of digit functions with large periods
Vladimir Shevelev, Peter J. C. Moses
For odd n>=3, we consider a general hypothetical identity for the differences S_{n,0}(x) of multiples of n with even and odd digit sums in the base n-1 in interval [0,x), which we…
Tangent power sums and their applications
Vladimir Shevelev, Peter J. C. Moses
For integer we study tangent power sum We prove that, for every it is integer, and, for a fixed p, it is a polynomial in …
Overpseudoprimes, and Mersenne and Fermat numbers as primover numbers
Vladimir Shevelev, Gilberto García-Pulgarín, Juan Miguel Velásquez-Soto +1
We introduce a new class of pseudoprimes-so called "overpseudoprimes to base ", which is a subclass of strong pseudoprimes to base . Denoting via the multiplicative o…