Locate the predecessors of finite beth cardinals within the aleph hierarchy

Identify, for each finite n ≥ 1, the position in the aleph hierarchy of the immediate predecessor of the beth cardinal ℶn; that is, determine the infinite cardinal κ such that κ^+ = ℶn and specify κ in terms of the aleph sequence (e.g., κ = ℵα).

Background

After surveying the status of various cardinals, the author notes that each finite beth number ℶn is a successor cardinal. However, without additional assumptions it is unclear which aleph it directly succeeds; i.e., which ℵα satisfies ℵα^+ = ℶn.

Clarifying the identity of these predecessors would pin down how the power-set-based beth sequence aligns with the aleph sequence of successor cardinals and would further specify the interleaving between the two hierarchies.