On the Largest Product of Primes with Bounded Sum
Résumé
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).
Domaines
Théorie des nombres [math.NT]
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