About 1/3? Excluding 1st digit 0, 1 Proof? @jamestanton What proportion of +ve integers are multiple of 1st digit? pic.twitter.com/3DybSxVheE
— Republic of Math (@republicofmath) 18. September 2014
I obviously think is a great question... but I got stuck in given a power of ten, say $10^p$, how many numbers are there that are multiples of three and their first digit is three? I believe the answer to this question, and the same but with 7, will give the answer to the problem.