Does there exist a prime that is only consecutive digits starting from 1?

Edit: code fixed, uses gmpy2 now.

The power of brute force: I wrote a quick python program, and

123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901

is a prime based on gmpy2's probable prime Miller-Rabin test.

Code if you want to verify:

import gmpy2

digit = 1
number = 1234567890
while True:
    number = 10*number + digit
    if gmpy2.is_prime(number):
        print(number)
        break

    digit = (digit + 1)%10