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The possibility that primordial black holes (PBHs) form a part of dark matterhas been considered over a wide mass range from the Planck mass ($10^{-5}~\rmg$) to the level of the supermassive black hole in the center of the galaxy.Primordial origin might be one of the most important formation channel ofsupermassive black holes. We use the non-detection of lensing effect of verylong baseline interferometer observations of compact radio sources withextremely high angular resolution as a promising probe to constrain theabundance of intergalactic PBHs in the mass range $\sim10^4$-$10^9~M_{\odot}$.For a sample of well-measured 543 flat-spectrum compact radio sources, nomilli-lensed images are found with angular separations between $1.5$milli-arcseconds and $50$ milli-arcseconds. From this null search result, wederive that the fraction of dark matter made up of supermassive PBHs in themass range $\sim10^6$-$10^8~M_{\odot}$ is $\lesssim1.48\%$ at $95\%$ confidencelevel. This constraints would be significantly improved due to the rapidincrease of the number of measured compact radio sources. For instance, on thebasis of none confirmed milli-lensing candidate in the latest $\sim14000$sources, we derive the abundance of supermassive PBHs and obtain that it is$\lesssim0.06\%$ at $95\%$ confidence level.

Constraints on the abundance of supermassive primordial black holes from lensing of compact radio sources