Java Hashset.contains() produces mysterious result

I don't usually code in Java, but recently I started not having a choice. I might have some major misunderstanding of how to properly use HashSet. So it might be possible something I did is just plain wrong. However I'm grateful for any help, you might offer. So the actual problem:

In a small program I was writing, I was generating very similar objects, which, when created, would have a very specific id (a string or in my last iteration a long). Because each object would spawn new objects, I wanted to filter out all those I already created. So I started throwing the id of every new object into my Hash(Set) and testing with HashSet.contains(), if an object was created before. Here is the complete code:

// hashtest.java
import java.util.HashSet;

class L {
    public long l;
    public L(long l) {
        this.l = l;
    }
    public int hashCode() {
        return (int)this.l;
    }
    public boolean equals(L other) {
        return (int)this.l == (int)other.l;
    }
}

class hashtest {
    public static void main(String args[]) {
        HashSet hash = new HashSet();
        L a = new L(2);
        L b = new L(2);
        hash.add(a);
        System.out.println(hash.contains(a));
        System.out.println(hash.contains(b));
        System.out.println(a.equals(b));
        System.out.println(a.hashCode() == b.hashCode());
    }
}

produces following output:

true
false
true
true    

so apparently, contains does not use the equals function provided by L, or I have some major misunderstanding of the concept ...

I tested it with openjdk (current version included in ubuntu) and the official current java from Oracle on Win7

for completeness official java-api documentation for HashSet.contains():

public boolean contains(Object o)

Returns true if this set contains the указанный элемент. Более формально возвращает истину тогда и только тогда, когда это установлено содержит элемент e такой, что (o==null ? e==null : o.equals(e)).

http://download.oracle.com/javase/6/docs/api/java/util/HashSet.html#contains(java.lang.Object)

Any ideas or suggestions?