Python/maths/prime_numbers.py
himanshujain171 53ff735701 Factors of a number (#1493)
* Factors of a number

* Update factors.py

* Fix mypy issue in basic_maths.py

* Fix mypy error in perceptron.py

* def primes(max: int) -> List[int]:

* Update binomial_heap.py

* Add a space

* Remove a space

* Add a space
2019-10-29 23:54:30 +01:00

29 lines
615 B
Python

from typing import List
def primes(max: int) -> List[int]:
"""
Return a list of all primes numbers up to max.
>>> primes(10)
[2, 3, 5, 7]
>>> primes(11)
[2, 3, 5, 7, 11]
>>> primes(25)
[2, 3, 5, 7, 11, 13, 17, 19, 23]
>>> primes(1_000_000)[-1]
999983
"""
max += 1
numbers = [False] * max
ret = []
for i in range(2, max):
if not numbers[i]:
for j in range(i, max, i):
numbers[j] = True
ret.append(i)
return ret
if __name__ == "__main__":
print(primes(int(input("Calculate primes up to:\n>> "))))