The discussion revolves around identifying a Period 3 element based on its successive ionization energies: 1800, 3000, 3600, 5800, and 13200 kJ/mol. Participants suggest looking up the ionization energies of the eight Period 3 elements. The consensus leans towards Silicon as the likely candidate due to the significant jump between the fourth and fifth ionization energies, indicating a change in the electron configuration. This large gap is characteristic of Silicon, confirming its identity in this context.