On a Sequence Involving Prime Numbers
Departament of Mathematics
We study a particular sequence Cn = npn - Σk ≤ n pk,
n ∈ N,
involving prime numbers by deriving two asymptotic formulae,
and we find a new lower bound for Cn
that improves the currently known
estimates. Furthermore, for the first time we determine an upper bound
Full version: pdf,
(Concerned with sequences
Received March 19 2015; revised versions received March 23 2015; June
19 2015; July 10 2015; July 13 2015.
Published in Journal of
Integer Sequences, July 16 2015.
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