This is a list of notable mathematical conjectures.
The (incomplete) column "cites" lists the number of results for a Google Scholar search for the term, in double quotes as of September 2022[update].
The conjectures in following list were not necessarily generally accepted as true before being disproved.
In mathematics, ideas are supposedly not accepted as fact until they have been rigorously proved.
However, there have been some ideas that were fairly accepted in the past but which were subsequently shown to be false.