Пример #1
0
def square_digit(num):
    ll = euler_utils.get_digits(num)

    res = 0
    for x in ll:
        res += math.pow(x, 2)
    return int(res)
Пример #2
0
def square_digit(num):
	ll = euler_utils.get_digits(num)

	res = 0
	for x in ll:
		res += math.pow(x, 2)
	return int(res)
Пример #3
0
def replace(num, digits):
	ll = euler_utils.get_digits(num)
	# print 'll = ', ll
	smallest = 0
	# for x in digits:
	temp = ll
	count = 0
	for x in xrange(0,10):
		# for y in xrange(0,10):
		temp[digits[0]] = x
		temp[digits[1]] = x
		num = euler_utils.create_num_from_list(temp)
		if len(euler_utils.get_digits(num)) == len(ll):
			if euler_utils.is_prime(num):
				count += 1
				if smallest == 0:
					smallest = num
				if num < smallest:
					smallest = num
	if count == 7:
		return smallest
	else:
		return -1
Пример #4
0
def is_prime_proof(num):
	ll = euler_utils.get_digits(num)

	for i in xrange(0, len(ll)):
		x = ll[i]
	
		for y in xrange(0,10):			
			if y == x:
				continue	

			ll[i] = y
 			new_num = euler_utils.create_num_from_list(ll)
 			if sympy.ntheory.isprime(new_num):
 				return False
 			ll[i] = x

 	return True
Пример #5
0
def is_prime_proof(num):
    ll = euler_utils.get_digits(num)

    for i in xrange(0, len(ll)):
        x = ll[i]

        for y in xrange(0, 10):
            if y == x:
                continue

            ll[i] = y
            new_num = euler_utils.create_num_from_list(ll)
            if sympy.ntheory.isprime(new_num):
                return False
            ll[i] = x

    return True
Пример #6
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def check_9_first_pandigital(num):
	ll = euler_utils.get_digits(num)[:9]
	return check_if_pandigital(ll)
Пример #7
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def check_9_last_pandigital(num):	
	ll = euler_utils.get_digits(num)[-9:]
	if len(ll) < 9:
		return False
	return check_if_pandigital(ll)
Пример #8
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def check_9_first_pandigital(num):
    ll = euler_utils.get_digits(num)[:9]
    return check_if_pandigital(ll)
Пример #9
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def check_9_last_pandigital(num):
    ll = euler_utils.get_digits(num)[-9:]
    if len(ll) < 9:
        return False
    return check_if_pandigital(ll)