def distinct_primes(num):
"""
The first `num` consecutive numbers to have `num` distinct prime factors
"""
distinct_factors = []
i = 0
while len(distinct_factors) != num ** 2:
i += 1
factors = [prime_factors(x) for x in range(i, i + num)]
distinct_factors = {x for factor in factors for x in factor}
print i
def test_prime_factorisation(self):
"""unittest prime_factorisation.prime_factors()"""
self.assertEqual(prime_factorisation.prime_factors(999),
[3, 3, 3, 37, 1])
"""
combs = []
for iii in xrange(1, len(lst)+1):
els = [list(x) for x in itertools.combinations(lst, iii)]
combs.extend(els)
return combs
def generate_triangle_numbers():
"""
return triangle numbers
"""
iii = 0
tri = 0
while True:
iii += 1
tri += iii
yield tri
TRIANGLE_NUMBER_GENERATOR = generate_triangle_numbers()
NUMBER_OF_FACTORS = 0
while NUMBER_OF_FACTORS < 500:
TRIANGLE_NUMBER = TRIANGLE_NUMBER_GENERATOR.next()
FACTORS = prime_factors(TRIANGLE_NUMBER)
COMBINTIONS = get_combintions(FACTORS)
COMBINTIONS = [np.prod(i) for i in COMBINTIONS]
NUMBER_OF_FACTORS = len(set(COMBINTIONS))
print TRIANGLE_NUMBER