We have studied the proton capture reaction [Formula: see text]. It plays a role in the nucleosynthesis of primordial elements in the early Universe leading to the prestellar formation of [Formula: see text] nuclei. All results of our researches and more new data from works show that the contribution of the [Formula: see text] capture reaction into the processes of primordial nucleosynthesis is relatively small. However, it makes sense to consider this process for making the picture complete for the formation of prestellar [Formula: see text] and clearing of mechanisms of this reaction. Furthermore, we have considered the [Formula: see text] reaction in the low energy. This reaction also forms part of the nucleosynthesis chain of the processes occurring in the early stages of formation of stable stars. They are possible candidates for overcoming the well-known problem of the [Formula: see text] gap in the synthesis of light elements in the primordial Universe. Continuing the study, we have considered the radiative capture [Formula: see text] at superlow energies, which has a undeniable interest for nuclear astrophysics, since it takes part in the proton–proton fusion chain, and new experimental data on the astrophysical [Formula: see text]-factors of this process at energies down to 90 and 23[Formula: see text]keV and data on the radiative capture reaction [Formula: see text] down to 50[Formula: see text]keV appeared recently. Moreover, radiative capture reactions [Formula: see text] and [Formula: see text] may have played a certain role in prestellar nucleosynthesis after the Big Bang, when the temperature of the Universe decreased to the value of [Formula: see text].