I\'m in the process of creating a CSR, and I wonder which is arguably the best length for my RSA key.
Of course, 384 is probably too weak, and 16384 is probably too
As many customers require compliance with NIST cryptographic standards, I use the guidance in the NIST Special Publication 800‑57, Recommendation for Key Management Part 1, §5.6. Most of our applications are a good fit for 112 "bits" of security, so that corresponds to triple-DES (or a small bump up to 128-bit AES) for symmetric ciphers and a 2048-bit key for RSA. See Table 2 for a rough equivalence.
Valid or not, being able to refer them to a NIST publication helps customers feel better about security (if they bother to ask).