Geodesic
On the largest product of primes with bounded sum
Journal of integer sequences, Tome 18 (2015) no. 2
Let $h(n)$ denote the largest product of primes whose sum is $\le n$, and $g(n)$ denote the Landau function, which is the largest product of powers of primes whose sum is $\le n$. 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 $h(n)$.
Classification : 11A25, 11N37, 11N05, 11-04
Keywords: distribution of primes, champion number, highly compostite number, Landau function 
@article{JIS_2015__18_2_a4,
     author = {Del\'eglise,  Marc and Nicolas,  Jean-Louis},
     title = {On the largest product of primes with bounded sum},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {2},
     zbl = {1378.11013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_2_a4/}
}
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Deléglise,  Marc; Nicolas,  Jean-Louis. On the largest product of primes with bounded sum. Journal of integer sequences, Tome 18 (2015) no. 2. http://geodesic.mathdoc.fr/item/JIS_2015__18_2_a4/