Can an RSA private key be copyrighted? Would the publishing of such a key violate the DMCA 1021 provisions?

Question

Let's say I have found the private key used to digitally sign executables that can be flashed into certain hardware.

If I made a tool that took any compatible binary as an input, and used that private key to provide the signed file as an output, would that...

1. ...violate copyright law because of the private key distribution? Or more accurately, are private keys generated randomly by a program (say, OpenSSL) copyrightable in the first place?
2. ... break the DMCA 1021 section? (Assuming that the key isn't used to decrypt a copyrighted work, but just to allow for any binary that is signed with it to be executed in the target hardware)

Answer 1

Only literary or artistic works have copyright

A number, on its own, is neither.

Of course, a number that is a digital representation of say, The Lord if the Rings, is a copy of a copyrighted work but it is not, of itself, copyrighted.