from tools import divisors
candidates = range(1, 10001)
n = 0
while candidates:
a = candidates.pop(0)
b = sum([_ for _ in divisors(a)])
if b in candidates: candidates.remove(b)
if a != b and a == sum([_ for _ in divisors(b)]):
n += a + b
print n
def is_abundant(num):
return sum(divisors(num)) > num
#!/usr/bin/env python
"""
Evaluate the sum of all the amicable numbers under 10000.
"""
from tools import divisors
N = 10**4
amicable = []
for n in xrange(2, N):
if n in amicable: continue
sum_divisors_n = sum(divisors(n))
if sum_divisors_n != n and sum(divisors(sum_divisors_n)) == n \
and sum_divisors_n < N:
print "(%s, %s)" % (n, sum_divisors_n)
amicable.extend([n, sum_divisors_n])
print sum(amicable)