OFFSET
1,1
COMMENTS
Nicolas proved that f(n) reaches its maximum at n = 2^7 * (3#)^4 * 5# * (7#)^2 * 19# * 47# * 277# * 45439# ~ 8.0244105... * 10^19786 which is the last term of this sequence (prime(n)# = A002110(n) is the n-th primorial).
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..68
Jean-Louis Nicolas, Quelques inégalités effectives entre des fonctions arithmétiques usuelles, Functiones et Approximatio, Vol. 39, No. 2 (2008), pp. 315-334. See Theorem 1.2.
CROSSREFS
KEYWORD
nonn,fini
AUTHOR
Amiram Eldar, Aug 25 2019
STATUS
approved