The explicit abc conjecture implies only finitely many nontrivial solutions to a1!! ⋯ at!! = n!! in certain special cases.
Luca, Equations involving arithmetic functions of factorials
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A comment on the equation $n!!=a_1!!\cdots a_t!!$
The explicit abc conjecture implies only finitely many nontrivial solutions to a1!! ⋯ at!! = n!! in certain special cases.