## Compfiles: Catalog Of Math Problems Formalized In Lean

## Imo1962P1

```
import Mathlib.Data.Nat.Digits
/-!
# International Mathematical Olympiad 1962, Problem 1
Find the smallest natural number $n$ which has the following properties:
(a) Its decimal representation has 6 as the last digit.
(b) If the last digit 6 is erased and placed in front of the remaining digits,
the resulting number is four times as large as the original number $n$.
-/
namespace Imo1962P1
open Nat
def ProblemPredicate (n : ℕ) : Prop :=
(digits 10 n).headI = 6 ∧ ofDigits 10 ((digits 10 n).tail.concat 6) = 4 * n
/- determine -/ abbrev solution : ℕ := sorry
theorem imo1962_p1 : IsLeast {n | ProblemPredicate n} solution := sorry
end Imo1962P1
```

File author(s): Kevin Lacker

This problem has a complete formalized solution.

The solution was imported from mathlib4/Archive/Imo/Imo1962Q1.lean.

Open with the in-brower editor at live.lean-lang.org: