def four_factor_iterator():
i = 2
while True:
factors = primes.dictfactor(i)
if len(factors) == 4:
yield i
i += 1
import primes
allfactors = {}
for i in xrange(1, 21):
factors = primes.dictfactor(i)
for factor, count in factors.items():
if factor not in allfactors.keys():
allfactors[factor] = 0
allfactors[factor] = max(allfactors[factor], count)
answer = 1
for factor, count in allfactors.items():
answer *= factor ** count
print answer
from primes import dictfactor
trianglenum = 1
triangleindex = 1
while True:
factors = dictfactor(trianglenum)
factor_count = 1
for factorcount in factors.values():
factor_count *= factorcount + 1
if factor_count > 500:
break
triangleindex += 1
trianglenum += triangleindex
print trianglenum