I have noticed when the RSA public key is 2048 bit, SHA-256 bit used for signatures. When the key is 3072 bit, SHA-384 bit used. When the key is 4096 bit, SHA-512 bit used.
I have tried the following commands.
openssl genrsa -out my.key 2048 openssl req -new -sha512 -key my.key -out my.csr
It worked without any errors.
My question is that, will there be any issues when the SHA-512 is used with 2048 bit?