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""" Challenge 170 Task 1 """
from sympy import nextprime
def gen_primorial_nums(count: int) -> list:
"""Generate the primorial numbers"""
nums = [1]
at_prime = 1
while len(nums) < count:
at_prime = nextprime(at_prime)
nums.append(nums[-1] * at_prime)
return nums
assert gen_primorial_nums(3) == [1, 2, 6]
assert gen_primorial_nums(10) == [
1,
2,
6,
30,
210,
2310,
30030,
510510,
9699690,
223092870,
]
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