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After the results of the surveys of the space telescope Herschel have been summarized, it becomes clear that high-redshift starforming galaxies of the main sequence look as submillimeter sources: the maximum of their spectral energy distribution (SED) is observed near 100 mkm in restframe. There are also tentative evidences that the typical dust temperatures drop with the redshift so shifting the maxima of the SEDs at z>4 to the wavelengths even longer than 100~mkm in restframe. By taking in mind unique sensitivity of the Millimetron, its possibility to observe with rather high spatial resolution at wavelengths longer than the Herschel was able, namely, at wavelengths longer than 500-800 mkm, I propose a task implying deep surveys of well-studied fields to search for the first generation of massive starforming galaxies at the redshifts of 4--6.