The high sensitivity of upcoming space-based gravitational wave detectorssuggests the possibility that if halo dark matter were composed of primordialblack holes (PBHs) with mass between $10^{16}$ g and 10$^{20}$ g, thegravitational interaction with detector test masses will lead to a detectablepulse-like signal during the fly-by. For an improved version of the LaserInterferometer Space Antenna with a reduced acceleration noise at the low-endof its frequency spectrum, we find an event rate, with signal-to-noise ratiosgreater than 5, of $\sim$ a few per decade involving black holes of mass $\sim$10$^{17}$ g. The detection rate improves significantly for second generationspace based interferometers that are currently envisioned, though these eventsmust be distinguished from those involving perturbations due to near-Earthasteroids. While the presence of primordial black holes below a mass of $\sim$10$^{16}$ g is now constrained based on the radiation released during theirevaporation, the gravitational wave detectors will extend the study of PBHs toa several orders of magnitude higher masses.
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