How to become a Grandmaster
Please explain how would you "add one" to 9.
Additionally, pi strictly contains every finitely possible number combinations. If you took each number of pi, then add one, it will become an infinitely long string of digits.
Well, then it's simple.
Pi, is an infinitely long string of digits, which contains:
- Pi itself
- Each number of pi, added one
- Each number of pi, added two
...
- Each number of pi, added nine
Why can't it contain infinitely many digits, followed by infinitely many digits that are all different from the first?
... Just rearrange the numbers, the first conjecture and the second (proposed here) are linked so if one is true both are true.
What mathematicians have (almost) proved is that it can't have a huge string of zeroes early on. This is due to the "irrationality measure" of pi itself. Try reading this article: http://matwbn.icm.edu.pl/ksiazki/aa/aa63/aa6344.pdf
Try searching:
- Louville's approximation theorem
- Apery's constant
- Flint Hill series
As I said, this conjecture has been proposed but has not been proved yet.
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Well, not proved. Rather, "believed to be true".