Check if a number is prime or not
def isprime(n):
for i in range(2,int(n**0.5)):
if n%i==0:
# Not a prime
return 0
# It is a prime number
return 1
- Handling Base Cases:
- If the number is less than or equal to 1, it's not prime.
- If the number is 2 or 3, it's prime.
- Divisibility Checks:
- Check if the number is divisible by 2 or 3. If yes, it's not prime.
- Reduced Search Space:
- Iterate from 5 to the square root of the number in steps of 6.
- Check for divisibility by
i and i + 2. This skips multiples of 2 and 3, reducing the search space.
def is_prime(n):
if n <= 1:
return False
elif n <= 3:
return True
elif n % 2 == 0 or n % 3 == 0:
return False
i = 5
while i * i <= n:
if n % i == 0 or n % (i + 2) == 0:
return False
i += 6
return True