Challenge

def a(number, start):
    bool = True
    if start < number:
        if number % start == 0:
            bool = False
        else:
            bool = a(number, start + 1)
    return bool

def b(n1, n2):
    result = 0
    if n2 > n1:
        pass
    else:
        if n2 == 0:
            result = 1
        else:
            if n2 == n1:
                result = 1
            else:
                result = b(n1 - 1, n2 - 1)
                result += b(n1 - 1, n2)
    return result

def c(nr):
    result = 0
    if nr != 0:
        if nr < 3:
            result = 1
        else:
            result = c(nr - 1)
            result += c(nr - 2)
            result += 1
    result = result % 987654321
    return result

def X(nr):
    result = c(nr)
    if result % 3 == 0:
        temp = Y(nr - 1)
        result = result + 1
    else:
        temp = Z(nr - 1)
    result = temp + result
    return result

def Y(nr):
    result = b(nr, 5)
    if result % 7 == 0:
        temp = X(nr - 1)
        result = result + 1
    else:
        temp = Z(nr - 1)
    result = temp + result
    return result

def Z(nr):
    result = 0
    bool = True
    if nr > 1 :
        bool = a(nr, 2)
        if bool:
            result = X(nr - 1) + 1
        else:
            result = Y(nr - 1)
    return result

number = 8283840
print Z(number)