The Sun is known to produce sporadic eruptive events, such as flares and coronal mass ejections (CMEs) when a large amount of energy is released nearly instantly. Such events can cause serious consequences in the Earth's environment, including geomagnetic disturbances, disruptions of radio communications. They can also accelerate charged particles to high energies, producing solar energetic particles (SEPs) that may cause radiation storms at and near-Earth (Desai & Giacalone, 2016;Shea & Smart, 2012;Vainio et al., 2009). The strength of such events may vary as known from instrumental observations during the past decades, including severe storms with hazardous consequences. On the other hand, the era of direct instrumental observation is relatively short, covering several decades, and the experimental data do not allow us to assess the maximum strength of such events nor the probability of their occurrence. The strongest solar particle storm (solar particle event-SPE) directly recorded by ground-based detectors took place on February 23, 1956, while the strongest SPE in the near-Earth space was recorded on