def problem():
""" Attempt to solve the problem... """
print 'problem #21'
t = 0
for a in xrange(1, 10000):
b = sum(proper_divisors(a))
if b != a and a == sum(proper_divisors(b)):
t += a
print 'the sum of amicable numbers is %s' % t
def perfect(n):
if n < 1:
raise ValueError
s = sum(proper_divisors(n))
if s < n:
return -1
elif s > n:
return 1
else:
return 0
def problem():
""" Attempt to solve the problem... """
print 'problem #23'
s = 0
abundant_numbers = {}
for x in xrange(1, 28123):
d = proper_divisors(x)
if sum(d) > x:
abundant_numbers[x] = 0
is_sum_found = False
for i in abundant_numbers.keys():
if abundant_numbers.get(x - i) is not None:
is_sum_found = True
break
if not is_sum_found:
s += x
print 'the sum of all integers which cannot be written as the sum of two'\
' abundant numbers is %s' % s
def d(x):
return (sum(proper_divisors(x)))
def abundant_numbers(limit):
abundant_nums = []
for n in xrange(1, limit):
if sum(proper_divisors(n)) > n:
abundant_nums.append(n)
return abundant_nums