3 is everywhere - Numberphile

Almost all numbers contain the digit three - and we can prove it!? More links & stuff in full description below ↓↓↓ Featuring Dr James Grime, whose website is http://www.singingbanana.com/...

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DR JAMES GRIME: So today, I want to tell you that almostall integers contain the digit 3.So the integers are the whole numbers.So I'm saying that almost all whole numberscontain the digit 3.It sounds strange, doesn't it?Yeah, because I can think of infinitely many numbers thatcontain a 3.I've got 3, 33, 333, 3,333, and so on.I can think of infinitely many numbers thatdon't contain a 3.7, 77, 777, and 7,777, and so on.So how can almost all integers contain the digit 3?So 23 contains the digit 3.310 contains the digit 3.9,002,023.So what about the numbers less than 10?How many numbers less than 10 contain the digit 3?It's just 3, isn't it?Yeah, it's just one of them.Right.So one of those, just the number 3 itsel...
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