%0 Journal Article %T Exact formulae for the perfect power counting function and the n-th perfect power %A R. Jakimczuk %J International Mathematical Forum %D 2013 %I %X There exist in the literature various exact formulae for the primecounting function ¦Ð(x) and the n-th prime pn. These formulae use thefloor function. In this note we present exact formulae for the perfectpower counting function N(x) and the n-th perfect power Pn. Theseformulae also use the floor function. %K Perfect powers %K exact formulae %K counting function %K n-th perfect power %U http://www.m-hikari.com/imf/imf-2013/9-12-2013/jakimczukIMF9-12-2013.pdf