While the number field sieve is the best method currently known, there exists an intriguing possibility for a far more elegant approach.
10 seconds sound clip from the Sneakers movie soundboard.
You can hear this line at 00:21:27.211 in the Blu-ray version of the movie.
Quote context
[...]
- They found me, Liz. The government found me.
- They offered me a deal. If I take their offer, they clear my record, and I can get my name back.
- You and I are not getting back together.
- Hey, don't flatter yourself.
- Yes!
- Shh!
- Over the rationals and, hence, contained in a single cyclotomic field.
- Shh!
[...]