from timer import timing_function


def isprime(number, primelist):
    """
    checks if a number is prime by finding dividing it by every other prime
    below floor(number / 2)
    """
    for prime in primelist:
        if prime <= number // 2 and number % prime == 0:
            return False

    return True

@timing_function
def findprimesto(primecap):
    """
    finds numprimes count of prime numbers
    """
    primelist = [2]
    testnum = 3

    while testnum < primecap:
        
        if isprime(testnum, primelist):
            primelist.append(testnum)

        testnum += 2

    return primelist

@timing_function
def findxprimes(x):
    """
    finds numprimes count of prime numbers
    """
    primelist = [2]
    testnum = 3

    while len(primelist) < x:

        if isprime(testnum, primelist):
            primelist.append(testnum)

        testnum += 2

    return primelist