Yup, the proof of the strong version (the full Reimann hypothesis) very likely lets you brute force large prime factors. This is a slightly stronger weak version, but has lots of interesting new bits in a field that has been stagnant for a long time. Those functions were going away on Q-day anyway, and we already have functions that are resistant to both, but now there are two Damoclean swords hanging over all that encrypted data the NSA and others have been hoovering up for years.
Can this have an influence on the security of certain cryptographic functions?
Yes absolutely it can.
Disclaimer: This is based on a gut feeling and no actually knowledge of the topic.
Yup, the proof of the strong version (the full Reimann hypothesis) very likely lets you brute force large prime factors. This is a slightly stronger weak version, but has lots of interesting new bits in a field that has been stagnant for a long time. Those functions were going away on Q-day anyway, and we already have functions that are resistant to both, but now there are two Damoclean swords hanging over all that encrypted data the NSA and others have been hoovering up for years.