%0 Journal Article %A Corrales Rodrigáñez, Carmen %A Schoof, René %T The Support Problem and Its Elliptic Analogue %D 1997 %@ 1096-1658 %U https://hdl.handle.net/20.500.14352/58330 %X Let F be a number field, Suppose x, y Є F* have the property that for all n Є Z and almost all prime ideals p of the ring of integers of F* one has that yn =1 (mod p) whenever xn=1 (mod p). We show that then y is a power of x. This answers a question of Erdos. We also prove an elliptic analogue of this result. %~