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dihedral_is_leinster_iff_odd_perfect

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The dihedral group `DihedralGroup n` (of order `2n`) is a Leinster group if and only if `n` is an odd perfect number. This gives a one-to-one correspondence between dihedral Leinster groups and odd perfect numbers. In particular, the existence of odd perfect numbers is equivalent to the existence of dihedral Leinster groups. Reference: Leinster, Tom (2001). "Perfect numbers and groups".

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Lean 4 Statement
theorem dihedral_is_leinster_iff_odd_perfect (n : ℕ) [NeZero n] :
    IsLeinster (DihedralGroup n) ↔ Nat.Perfect n ∧ Odd n
ID: Wikipedia__LeinsterGroup__dihedral_is_leinster_iff_odd_perfect
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