Hensel's lemma the value of "c" mod 27: if "c" ≡ 1 mod 27 then use "a" = 1, if "c" ≡ 10 mod 27 then use "a" = 4 (since 4 is a root of "f"("x") mod 27), and if "c" ≡ 19 mod 27 then use "a" = 7. (It is not true that every "c" ≡ 1 mod 3 is a 3-adic cube, e.g., 4 is not a 3-adic cube since it is not a cube mod 9.) In a similar way, after some preliminary work Hensel's lemma can be used to show that for any "odd" prime number
The Cube (film) and this is what his afterlife is like, the Man is visited by a scientist (William Osler) who asks the Man to define reality for him. When the Man claims that the hammer doesn't exist, the scientist proves him wrong by throwing the hammer at one of the cube's walls causing a hole in it. Arnie reprimands the scientist for breaking the wall and gives him his hammer back while he gets the wall fixed. Upon being unable to convince the Man, the scientist leaves hoping that the Man rots in the Cube. Arnie fixes the hole and leaves stating