def solve002(limit, start_with_two_ones):
fibonacci = NumberTheory.fibonacci_under(limit, start_with_two_ones)
even_fibonacci = list()
for num in fibonacci:
if NumberTheory.is_factor_of(2, num):
even_fibonacci.append(num)
return sum(even_fibonacci)
def solve007(limit):
return max(NumberTheory.first_primes(limit))
def solve005(limit):
return NumberTheory.smallest_multiple(limit)
def solve003(limit):
factors = NumberTheory.prime_factors_of(limit)
return max(factors)
def solve001(factors, multiple):
return NumberTheory.sum_of_multiples_under(factors, multiple)
def solve024(n):
list_ = list(range(10))
permutation = NumberTheory.nth_permutation(n, list_)
permutation = [str(x) for x in permutation]
return "".join(permutation)
def solve021(num):
divisors = NumberTheory.proper_divisors(num)
return sum(divisors)
def solve014(limit):
iterations = NumberTheory.collatz_iterations_under(limit)
return General.key_with_max_value(iterations)
def solve012(limit):
num = 2
while NumberTheory.num_factors_of(Basic.sum_up_to(num)) <= limit:
num += 1
return Basic.sum_up_to(num)
def solve010(limit):
primes = NumberTheory.primes_under(limit)
return sum(primes)