10 examples of 'condition for prime number in python' in Python

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1def is_prime(n):
2 if n < 2:
3 return False
4
5 i = 2
6
7 while i * i <= n:
8 if n % i == 0:
9 return False
10
11 i += 1
12
13 return True
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3def is_prime(n):
4 i = 3
5 while i * i <= n:
6 if n % i == 0: return False
7 i += 2
8 return True
6def is_prime(n):
7 '''
8 checks if a number is prime
9 '''
10 if n < 2:
11 return False
12 if n == 2:
13 return True
14 for x in range(2, int(n**0.5)+1, 2):
15 if n % x == 0:
16 return False
17 return True
3def is_prime(n):
4 if n <= 1:
5 return False
6 elif n == 2:
7 return True
8 elif n % 2 == 0:
9 return False
10 for i in xrange(3, int(sqrt(n))+1, 2):
11 if n % i == 0:
12 return False
13 return True
21def is_prime(n):
22 for i in xrange(2, int(sqrt(n)) + 1):
23 if n % i == 0:
24 return False
25
26 return True
19def isprime(n, precision=7):
20 # http://en.wikipedia.org/wiki/Miller-Rabin_primality_test#Algorithm_and_running_time
21 if n < 1:
22 raise ValueError("Out of bounds, first argument must be > 0")
23 elif n <= 3:
24 return n >= 2
25 elif n % 2 == 0:
26 return False
27 elif n < _smallprimeset:
28 return n in smallprimeset
29
30
31 d = n - 1
32 s = 0
33 while d % 2 == 0:
34 d //= 2
35 s += 1
36
37 for repeat in range(precision):
38 a = random.randrange(2, n - 2)
39 x = pow(a, d, n)
40
41 if x == 1 or x == n - 1: continue
42
43 for r in range(s - 1):
44 x = pow(x, 2, n)
45 if x == 1: return False
46 if x == n - 1: break
47 else: return False
48
49 return True
17def isprime(no):
18 if no == 2:
19 return True
20 elif no % 2 == 0:
21 return False
22 sq = int(math.sqrt(no)) + 1
23 for i in range(3, sq, 2):
24 if no % i == 0:
25 return False
26 return True
7def isPrime(num):
8 # Returns True if num is a prime number, otherwise False.
9
10 # Note: Generally, isPrime() is slower than primeSieve().
11
12 # all numbers less than 2 are not prime
13 if num < 2:
14 return False
15
16 # see if num is divisible by any number up to the square root of num
17 for i in range(2, int(math.sqrt(num)) + 1):
18 if num % i == 0:
19 return False
20 return True
20def prime(num):
21 # num is actually a string because input() returns strings. We'll convert it to int
22 num = int(num)
23
24 if num < 0:
25 print("Negative integers can not be prime")
26 quit()
27 if num is 1:
28 print("1 is neither prime nor composite")
29 # See how I lazily terminated program otherwise it'd forward "None"(default behaviour of python when function
30 # returns nothing) rather than True or False. Which could mess up the program.
31 # If we hit this if statement above statement is printed then program exits.
32 quit() # Now you don't need to get sys.exit() to exit python has quit to handle the same thing
33 if num in [2, 3]:
34 # if given argument is 2 or 3, it is prime. We used list without defining a variable which is perfectly valid
35 return True
36 if num % 2 == 0: # excluding all even numbers except two.
37 return False
38 else:
39 # Here we are starting counter variable from 3 in range. Second argument excludes numbers above one third
40 # of the given argument. Third argument in range sets steps to take to 2. This makes loop to iterate odds
41 for x in range(3, int(num/3), 2):
42 # Checking if argument is divisible by counter. % is modulus operator which returns remainder of division
43 if num % x == 0:
44 return False
45 # It's okay to have more than one return statement when program hits return statement it exits the function.
46 return True
23def isPrime(n):
24 return not any(x for x in range(2, int(sqrt(n)) + 1) if n % x == 0)

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