project euler 29

["CSYH (QAQ)" <schen309@asu.edu>]

Hello, everyone.
Now this time, I am facing trouble for problem #29.
As I know integer type is for 32 bits. but for this problem as me to find out the 2 ** 100 and even 100 ** 100.
I used python to get the answer correctly in 5 minutes. 

context = []
for a in range(2,101):
    for b in range(2,101):
        context.append(a**b)
len(list(set(context)))

I know the algorithm is easy, but I am pretty interesting how to calculate a large like it. And thanks for the help from problem 26, your discussions come my every working hour.

for this problem I want to know how to know is there an easy way to store a large number like 100 ** 100, and how do U make a similar function like "set(context)" to delete the duplicated value in a vector.
Thanks
From CSYH(QAQ)