The end of the prayers of David (Ps 72:20-72:20)

“The prayers of David,

Son of Jesse,

Are ended.”

This is a postscript to the second book of psalms. This seems to indicate that there will be no more psalms of David. In fact, there are many more psalms attributed to David in the next 3 books of psalms. Clearly it is David, the son of Jesse, rather than King David who made these prayers.