On the Largest Product of Primes with Bounded Sum
Marc Deléglise and Jean-Louis Nicolas
Institut Camille Jordan
Université de Lyon, CNRS
F-69622 Villeurbanne Cedex
Let h(n) denote the largest product of primes whose sum
is ≤ n,
and g(n) denote the Landau function, which is the largest product of powers of primes whose sum is ≤ n. In this article,
several properties of h(n) are given
and compared to similar properties of g(n).
Special attention is paid to the behavior of the largest
prime factor of h(n).
Full version: pdf,
(Concerned with sequences
September 22 2014; revised version received January 15 2015.
Published in Journal of Integer Sequences, January 25 2015.
Journal of Integer Sequences home page