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34 changes: 34 additions & 0 deletions maths/next_prime_number.py
Original file line number Diff line number Diff line change
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"""
In the ancient city of Numeria,
legends speak of an oracle whose whispers
could bend the very fabric of mathematics.
Travelers from distant lands would bring
her a number, and in return, she would reveal
its future: the very next prime number.
Your task is to embody the oracle's wisdom.
You will be given a number.
You must find the smallest prime number
that is strictly greater than it.
"""


def check_prime(n):
if n <= 1:
return False
if n <= 3:
return True
if n % 2 == 0 or n % 3 == 0:
return False
temp = 5
while temp * temp <= n:
if n % temp == 0 or n % (temp + 2) == 0:
return False
temp += 6
return True


n = int(input())
next_prime = n + 1
while not check_prime(next_prime):
next_prime += 1
print(next_prime)
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