Are any of the post Muhammed ibn ismail imams even related to The messenger of god?

Hello just out of curiosity I was looking for evidence for any of the post Muhammed ibn ismail ibn Jafar alsadiq imams to be related to the prophet of god. I know there is a lot of evidence regarding Hassan 2 of alamut that he is the son of Muhammed ibn Buzurg-Ummid. Meaning Hassan 2 and beyond can’t even be imams. Please educate me if I am wrong