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On the Largest Product of Primes with Bounded Sum
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Marc Deléglise and Jean-Louis Nicolas

Institut Camille Jordan

Université de Lyon, CNRS

F-69622 Villeurbanne Cedex

France

**Abstract:**

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*).

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(Concerned with sequences
A000793
A159685.)

Received
September 22 2014; revised version received January 15 2015.
Published in *Journal of Integer Sequences*, January 25 2015.

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