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# As an irrational number, the decimal points in the number Pi, ie 3.14159…, contain every phone number and winning lottery ticket number in history, although you would likely have to go back billions of decimal places for any given one.

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I'm not sure if every possible permutation is necessarily in there. Its infinitely long but not just random numbers.

The digits of pi are actually random.

The number of decimal places is infinite, so yes technically every combination of numbers is in there somewhere

That does not follow. You could, for example, have an infinity long repeating 0.111111..... and would never see a sequence of 1 and 2.

Pi is a non repeating irrational number. It does contain every number combination. We have a computer trying to find the end of pi. So far it is at 62.8 trillion digits, and no repeat.

Not having found a repeat for an infinite string just looking at a finite number of digits does not prove that it is non repeating. And not repeating does not prove every permutation is expressed.

This doesn't follow. It is widely believed to be true of pi, but it is not known. As a counterexample, the decimal expansion 0.1010010001... is non-terminating and non-repeating, but clearly does not contain every combination of digits.

That's possibly true of pi. It's never been proven. But it's guaranteed not to be true of all irrational numbers.