generate random prime number python

# Prime number generator def prime_generator(end): for n in range(2, end): # n starts from 2 to end for x in range(2, n): # check if x can be divided by n if n % x == 0: # if true then n is not prime break else: # if x is found after exhausting all values of x yield n # generate the prime g = prime_generator(1000) # give firt 1000 prime numbers print(list(g))

# effiecent and fast way to generate prime numbers def primeCheck(n): if n == 1 or n == 0 or (n % 2 == 0 and n > 2): return False else: for o in range(3, int(n ** (1 / 2)) + 1, 2): if n % o == 0: return False return True for a in range(2**15): if primeCheck(a): prime_numbers.append(a)

how to generate prime numbers in a bit range python

def miller_rabin(n, k):

    # Implementation uses the Miller-Rabin Primality Test
    # The optimal number of rounds for this test is 40
    # See http://stackoverflow.com/questions/6325576/how-many-iterations-of-rabin-miller-should-i-use-for-cryptographic-safe-primes
    # for justification

    # If number is even, it's a composite number

    if n == 2 or n == 3:
        return True

    if n % 2 == 0:
        return False

    r, s = 0, n - 1
    while s % 2 == 0:
        r += 1
        s //= 2
    for _ in range(k):
        a = random.randrange(2, n - 1)
        x = pow(a, s, n)
        if x == 1 or x == n - 1:
            continue
        for _ in range(r - 1):
            x = pow(x, 2, n)
            if x == n - 1:
                break
        else:
            return False
    return True

"""
a function that uses miller rabin's primality test to genarate a prime number in a certain number of bits length
in other words you give it a number of bits and you will get a prime number with that number of bits
"""
def genprimeBits(k):
    x = ""
    k = int(k)
    for y in range(k):
        x = x + "1"
    y = "1"
    for z in range(k-1):
        y = y + "0"
    x = int(x,2)
    y = int(y,2)
    p = 0
    while True:
        p = random.randrange(y,x)
        if miller_rabin(p,40):
            break
    return p

Posted by: Guest on June-04-2020

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