  Unlike the widely studied ReFeAsO series, the newly discovered iron-based
superconductor ThFeAsN exhibits a remarkably high critical temperature of 30 K,
without chemical doping or external pressure. Here we investigate in detail its
magnetic and superconducting properties via muon-spin rotation/relaxation
($\mu$SR) and nuclear magnetic resonance (NMR) techniques and show that ThFeAsN
exhibits strong magnetic fluctuations, suppressed below 35 K, but no magnetic
order. This contrasts strongly with the ReFeAsO series, where stoichiometric
parent materials order antiferromagnetically and superconductivity appears only
upon doping. The ThFeAsN case indicates that Fermi-surface modifications due to
structural distortions and correlation effects are as important as doping in
inducing superconductivity. The direct competition between antiferromagnetism
and superconductivity, which in ThFeAsN (as in LiFeAs) occurs at already zero
doping, may indicate a significant deviation of the $s$-wave superconducting
gap in this compound from the standard $s^{\pm}$ scenario.
