The prolific mathematician Paul Erdős and his various collaborators made many famous mathematical conjectures, over a wide field of subjects.

Some of these are the following:

• Erdős-Faber-Lovász conjecture
• Erdős-Graham conjecture
• Erdős-Gyárfás conjecture (graph theory)
• Erdős-Heilbronn conjecture
• Erdős-Menger conjecture
• Erdős-Mordell conjecture
• Erdős-Rubin-Taylor conjecture
• Erdős-Stewart conjecture
• Erdős-Strauss conjecture
• Erdős-Turan conjecture
• Erdős-Woods conjecture