#!/usr/bin/env python
u'''
The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
Let us list the factors of the first seven triangle numbers:
1: 1
3: 1,3
6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28
We can see that 28 is the first triangle number to have over five divisors.
What is the value of the first triangle number to have over five hundred divisors?
'''
import pymath
i = 1
while True:
triangle = pymath.triangluar_number(i)
if len(pymath.factor(triangle)) > 500:
print triangle
break
i += 1
pymath.print_prob(1000, "1000 done")
#!/usr/bin/env python ''' The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number 600851475143 ? ''' import pymath print max(pymath.prime(pymath.factor(600851475143)))
