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The Short Answer: Maybe - but not guaranteed.
Pi is irrational, meaning its decimal expansion goes on forever without repeating. But whether it contains every possible finite sequence - like your phone number - depends on whether pi is also normal.
What’s a 'Normal' Number?
A number is normal if, in its infinite decimal expansion, every possible sequence of digits appears with equal frequency. That means:
- Every 7-digit phone number would appear somewhere
- So would every book, every photo, every moment - encoded as digits
It’s like pi becomes a cosmic hard drive.
Is Pi Normal?
- We don’t know. Mathematicians suspect pi is normal, but it’s never been proven.
- We’ve checked billions of digits. And yes - lots of patterns show up. But that’s not proof.
So Will Your Phone Number Appear?
If pi is normal, then yes, your phone number appears infinitely many times in its digits.
If not, it might never show up.
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