def problem108a():
recordN = 10**9
recordSolutions = 0
for n in genProducts(10**6,[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59]):
n = product(n)
if n > 10:
m = basicSolutions(n)
#if m >= 1000 and n < recordN:
if m > recordSolutions:
print(n,m)
recordN = n
recordSolutions = m
def problem108():
for n in genProducts(10**6,[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59]):
if numberOfSolutions(product(n)) > 10**3:
return product(n)
def problem204():
count = 1
for a in genProducts(10 ** 9, primesUpTo(100)):
count += 1
print(count)
