We investigate the scaling of the core energy transport with the magnetic Lundquist number S in the reversed field pinch. We analyze for the first time the electron temperature and thermal conductivity profiles and the dynamo magnetic fluctuations in a wide range of stationary plasmas produced in the RFX device at plasma current ranging between 0.2 and 1.1 MA. When S increases we measure an improvement of core confinement associated with the strengthening of the internal electron temperature profiles gradient and with the decrease of magnetic turbulence. This shows that core energy transport is related with magnetic fluctuations and can be ameliorated in high S regimes. PACS numbers: 52.25.Fi, 52.25.Gj, 52.55.Hc The role of self-generated internal electric currents is crucial to control the plasma dynamic evolution in the reversed field pinch (RFP), a magnetic configuration studied for the confinement of thermonuclear plasmas. These currents are driven by the continuous action of a magnetic field regeneration mechanism, often called "dynamo." This mechanism can be powered by magnetic fluctuations due to a wide spectrum of m 1 resistive tearing modes [1,2], which are thought to be the cause of anomalous energy and particle transport in the RFP core. This makes a well diagnosed laboratory plasma like the RFP resemble geophysical and astrophysical systems. Moreover, it offers a unique experimental opportunity to study the role of resistive magnetohydrodynamics (MHD) magnetic fluctuations in driving anomalous energy transport in magnetized plasmas [3] and how this mechanism scales to more collisionless, reactor relevant conditions. The role of turbulence in controlling transport is in fact still the subject of active investigation, in particular, in the plasma core where measurements are difficult.According to MHD theory, the relevant dimensionless parameter to scale the amplitude of normalized magnetic fluctuationsb B is the magnetic Lundquist number S, defined as the ratio of the resistive diffusion time t R m 0 a 2 h to the Alfvén time t A a y a , where a is the minor radius, h is the plasma electrical resistivity, and y A is the Alfvén velocity. Besides the simplest theoretical prediction based on the dimensionless Ohm's law,b B~S 21͞2 , quite a wide effort has been dedicated to investigate the behavior of magnetic fluctuations in the RFP [4-12]: exponents a for theb B~S 2a scaling law have been found ranging from a ഠ 0.07 to a ഠ 0.5. In particular, in a recent paper Stoneking et al. [11] have extended the range of S over which the scaling is experimentally studied and they have proposed a narrow range of measured exponents a, i.e., 0.07 # a # 0.18, depending on the density regime. Given these scaling laws, an improvement of the core energy confinement as S increases is expected, for example, on the basis of the quasilinear RechesterRosenbluth model [13]. This prediction has been only partially verified up to now: direct probe measurements of heat transport induced by magnetic fluctuations have been performed ...