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math.NT2012
Maximal product of primes whose sum is bounded
Marc Deléglise, Jean-Louis Nicolas
If n is a positive integer, let h(n) denote the maximal value of the product of distinct primes whose sum does not exceed n. We give some properties of this function h and describe…
math.NT2012★ 2 cited
Small values of the Euler function and the Riemann hypothesis
Jean-Louis Nicolas
Let $\vfi$ be Euler's function, $\ga$ be Euler's constant and be the product of the first primes. In this article, we consider the function $c(n) =(n/\vfi(n)-e^\ga\log\lo…