Problem 45

p45.py

def is_pentagonal(x):
    #Take the inverse function to test whether or not a number is pentagonal
    if (1+(24*x+1)**0.5) % 6 == 0:
        return True
    return False

def is_hexagonal(x):
    #Take the inverse function to test whether or not a number is hexagonal
    if (1+(8*x+1)**0.5) % 4 == 0:
        return True
    return False
    
def compute():
    i = 286
    while True:
        a = (i/2)*(i+1)
        if is_pentagonal(a) == True and is_hexagonal(a) == True:
            print(i)
            return a
        i += 1