This is not a direct answer, but an important note about using compareTo().
When checking the value of compareTo(), always test for x < 0, x > 0 and x == 0.
Do not test for x == 1
From the Comparable.compareTo() javadocs:
Compares this object with the specified object for order. Returns a negative integer, zero, or a positive integer as this object is less than, equal to, or greater than the specified object.
Note:
A negative integer, not -1. 
A positive integer, not 1. 
True, checking for ==1 and ==-1 would work for BigInteger. This is the BigInteger.compareTo() code:
public int compareTo(BigInteger val) {
    if (signum == val.signum) {
        switch (signum) {
        case 1:
            return compareMagnitude(val);
        case -1:
            return val.compareMagnitude(this);
        default:
            return 0;
        }
    }
    return signum > val.signum ? 1 : -1;
}
But it's still bad practice, and explicitly recommended against in the JavaDocs:
Compares this BigInteger with the specified BigInteger. This method is provided in preference to individual methods for each of the six boolean comparison operators (<, ==, >, >=, !=, <=). The suggested idiom for performing these comparisons is: (x.compareTo(y) <op> 0), where <op> is one of the six comparison operators.