Pressure-induced superconductivity was recently discovered in the binary helimagnet CrAs. We report the results of measurements of nuclear quadrupole resonance for CrAs under pressure. In the vicinity of the critical pressure Pc between the helimagnetic (HM) and paramagnetic (PM) phases, a phase separation is observed. The large internal field remaining in the phase-separated HM state indicates that the HM phase disappears through a strong first-order transition. This indicates the absence of a quantum critical point in CrAs; however, the nuclear spin-lattice relaxation rate 1/T1 reveals that substantial magnetic fluctuations are present in the PM state. The absence of a coherence effect in 1/T1 in the superconducting state provides evidence that CrAs is the first Cr-based unconventional superconductor. In a conventional Bardeen-Cooper-Schrieffer (BCS) superconductor, electrons form Cooper pairs through negative interactions via an electron-phonon coupling. This gives a sign-uniform s-wave character to the superconducting (SC) gap symmetry. If positive interactions work electron pairs to induce superconductivity, unconventional superconductivity with a sign-changing order parameter is realized beyond the well-established simple s wave. This fascinating form of superconductivity has been discovered in specific materials, such as heavy fermion systems, high-T c cuprates, organic systems, ruthenate, and recent Fe-based superconductors. A common feature of these materials is that superconductivity appears due to the instability of some degree of freedom, which is mainly induced on the verge of a magnetically ordered phase.Very recently, Wu et al. and Kotegawa et al. independently discovered pressure-induced superconductivity in CrAs in the vicinity of the helimagnetic (HM) phase [1,2]. This is the first example of superconductivity found in a Cr-based magnetic system. CrAs has a MnPtype orthorhombic crystal structure with a P nma space group. This structure possesses a space-inversion symmetry, but it is locally missing at the Cr and As sites, and both of these atoms form a zigzag chain along the a-axis. The magnetic transition of the first order into a double-helical state occurs at T N ∼ 265 K. This transition is accompanied by a large magnetostriction, and a lowering of the crystal structure symmetry has not been reported [3,4]. The propagation vector is incommensurate with 0.354 · 2πc * , where c * is a unit vector along the c axis, and magnetic moments of ∼ 1.7µ B /Cr lie in the ab plane [5,6]. The application of pressure drastically suppresses T N , and the HM phase disappears above a critical pressure of P c ∼ 0.7 GPa [1,2,7]. Superconductivity appears together with the suppression of the HM phase, showing a maximum SC transition temperature of T c ∼ 2.2 K at ∼ 1.0 GPa, after which T c decreases gradually with increasing pressure. The pressure-temperature phase diagram of CrAs with a first-order magnetic transition is reminiscent of those of some pressure-induced Fe-based superconductors, such as SrFe 2 As 2 ...