In nutshell: CANDIDATE KEY is a minimal SUPER KEY.
Where Super key is the combination of columns(or attributes) that uniquely identify any record(or tuple) in a relation(table) in RDBMS.
For instance, consider the following dependencies in a table having columns A, B, C, and D (Giving this table just for a quick example so not covering all dependencies that R could have).
Attribute set (Determinant)---Can Identify--->(Dependent)
A-----> AD
B-----> ABCD
C-----> CD
AC----->ACD
AB----->ABCD
ABC----->ABCD
BCD----->ABCD
Now, B, AB, ABC, BCD identifies all columns so those four qualify for the super key.
But, B?AB; B?ABC; B?BCD hence AB, ABC, and BCD disqualified for CANDIDATE KEY as their subsets could identify the relation, so they aren't minimal and hence only B is the candidate key, not the others.
One more thing Primary key is any one among the candidate keys.
Thanks for asking