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Primordial black holes, which could have formed during the early Universethrough overdensities in primordial density fluctuations during inflation, arepotential candidates for dark matter. We explore the use of lensing parallax ofGamma ray bursts (GRBs), which results in different fluxes being observed fromtwo different vantage points, in order to probe the abundance of primordialblack holes in the unexplored window within the mass range$[10^{-15}-10^{-11}]M_\odot$. We derive the optical depth for the lensing ofGRBs with a distribution of source properties and realistic detectorsensitivities. We comment on the ability of the proposed Indian twin satellitemission Daksha in its low earth orbit to conduct this experiment. If the twoDaksha satellites observe 10000 GRBs simultaneously and the entirety of darkmatter is made up of $[10^{-15}-10^{-12}]M_\odot$ black holes, Daksha willdetect non-zero lensing events with a probability ranging from 80 to 50 percent at the bin edges, respectively. Non-detections will not conclusively ruleout primordial black holes as dark matter in this mass range. However, we showthat meaningful constraints can be obtained in such a case if the twosatellites are separated by at least the Earth-Moon distance.

On the feasibility of primordial black hole abundance constraints using lensing parallax of GRBs