The following are named after Paul Erdős:
Paul Erdős Award of the World Federation of National Mathematics Competitions
Erdős Prize
Anna and Paul Erdős postdoctoral Fellowship of the Mathematics Department of the Technion
Erdős number
Erdős cardinal
Erdős–Nicolas number
Erdős conjecture — a list of numerous conjectures named after Erdős; See also List of conjectures by Paul Erdős.
Erdős–Turán conjecture on additive bases
Erdős conjecture on arithmetic progressions
Erdős distinct distances problem
Cameron–Erdős conjecture
Erdős–Burr conjecture
Erdős–Faber–Lovász conjecture
Erdős–Graham conjecture — see Erdős–Graham problem
Erdős–Gyárfás conjecture
Erdős–Straus conjecture
Erdős–Szekeres conjecture
Erdős–Turán conjecture
Copeland–Erdős constant
Erdős–Bacon number
Erdős–Borwein constant
Erdős–Diophantine graph
Erdős–Mordell inequality
Chung–Erdős inequality
Erdős–Rényi model
Erdős space
Erdős theorems
de Bruijn–Erdős theorem (graph theory)
de Bruijn–Erdős theorem (incidence geometry)
Erdős–Anning theorem
Erdős–Beck theorem
Erdős–Dushnik–Miller theorem
Erdős–Gallai theorem
Erdős–Kac theorem
Erdős–Ko–Rado theorem
Erdős–Nagy theorem
Erdős–Rado theorem
Erdős–Stone theorem
Erdős–Szekeres theorem
Erdős–Szemerédi theorem
Erdős–Turán inequality
Erdős–Ulam problem
Erdős–Woods number
Hsu–Robbins–Erdős theorem