import Mathlib
/-!
# International Mathematical Olympiad 2000, Problem 5
Does there exist a positive integer n such that n has exactly
2000 distinct prime divisors and n divides 2ⁿ + 1?
-/
namespace Imo2000P5
/- determine -/ abbrev solution : Bool := sorry
theorem imo2000P5 :
∃ n, 0 < n ∧ n.primeFactors.card = 2000 ∧ n ∣ 2 ^ n + 1
↔ solution := sorry
end Imo2000P5
This problem does not yet have a complete formalized solution.