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We study the evidence for a connection between active galactic nuclei (AGN)fueling and star formation by investigating the relationship between the X-rayluminosities of AGN and the star formation rates (SFRs) of their host galaxies.We identify a sample of 309 AGN with $10^{41}<L_\mathrm{X}<10^{44} $ ergs$^{-1}$ at $0.2 < z < 1.2$ in the PRIMUS redshift survey. We find AGN ingalaxies with a wide range of SFR at a given $L_X$. We do not find asignificant correlation between SFR and the observed instantaneous $L_X$ forstar forming AGN host galaxies. However, there is a weak but significantcorrelation between the mean $L_\mathrm{X}$ and SFR of detected AGN in starforming galaxies, which likely reflects that $L_\mathrm{X}$ varies on shortertimescales than SFR. We find no correlation between stellar mass and$L_\mathrm{X}$ within the AGN population. Within both populations of starforming and quiescent galaxies, we find a similar power-law distribution in theprobability of hosting an AGN as a function of specific accretion rate.Furthermore, at a given stellar mass, we find a star forming galaxy $\sim2-3$more likely than a quiescent galaxy to host an AGN of a given specificaccretion rate. The probability of a galaxy hosting an AGN is constant acrossthe main sequence of star formation. These results indicate that there is anunderlying connection between star formation and the presence of AGN, but AGNare often hosted by quiescent galaxies.

PRIMUS: The relationship between Star formation and AGN accretion