:20:01
They found me, Liz.
:20:04
The government found me.
:20:07
They offered me a deal.
If I take their offer...
:20:10
...they clear my record,
and I can get my name back.
:20:22
You and I are not getting back together.
:20:25
Don't flatter yourself.
:20:28
Pick me up at 3:00.
:20:33
Yes!
:20:35
While the number-field sieve
is the best method currently known...
:20:38
...there exists an intriguing possibility
for a far more elegant approach.
:20:44
This guy's good.
:20:48
...over the rationals, and hence
contained in a single cyclotomic field.
:20:52
Using the Artin map,
we might induce homomorphisms...
:20:58
You seeing anybody?
:21:04
This isn't just about large-number theory.
It's about cryptography.
:21:09
You mean codes?
:21:11
I mean unbreakable codes.
:21:15
It would be a breakthrough
of Gaussian proportions...
:21:19
...and allow us to acquire...
:21:20
...the solution in a dramatically
more efficient manner.
:21:26
Are you seeing...
:21:28
Such an approach is purely theoretical.
So far, no one has been able...
:21:33
...to accomplish such constructions...
:21:37
...yet.
:21:39
The numbers are so unbelievably big...
:21:42
...all the computers in the world
could not break them down.
:21:45
But maybe, just maybe...
:21:48
...there's a shortcut.
- I'll bet you anything he's found it.
:21:52
If he has, you're in over your head.
I'll get my coat.
:21:55
Numbers themselves
may be our best tools...
:21:58
...may be able to see things
in other numbers that we can't.