[v0id]

Well, you have a function for checking whether two numbers are amicable or not. Now you only need to test all the numbers between 1 and 10000, which can be done using two simple loops.

I'm a little confused about your question actually, because you say all the amicable numbers between 1 and 10000, but to find amicable numbers you need two numbers.

Well, here you have some code that will find all the amicable numbers where both the first number will go from 1 to 10000, and also the second number.

def amicable_numbers(x,y):
    sum_x=0
    sum_y=0
    for i in range(1,x):
        if x%i==0:
            sum_x+=i
 
    for k in range(1,y):
        if y%k==0:
            sum_y+=k
 
    return sum_x==y and sum_y==x

for first_number in range(1, 10000+1):
    for second_number in range(1, 10000+1):
        if amicable_numbers(first_number, second_number):
            print "Amicable numbers: %5d and %5d\n" % (first_number, second_number)

You'll have to be patient, though. It will take a long time for it to complete, because it will have to check so many numbers.