How to become a Grandmaster

Sort:
Avatar of CheesePrix2314

Well, not proved. Rather, "believed to be true".

Avatar of M1m1c15
Interesting, what if we took each number of pi and added one and kept going until we were sure there wouldn’t be a another Instance of the sequence?
Avatar of M1m1c15
Theoretical, or course, but probably as close as we can get to a solution
Avatar of CheesePrix2314
M1m1c15 wrote:
Interesting, what if we took each number of pi and added one and kept going until we were sure there wouldn’t be a another Instance of the sequence?

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.

Avatar of M1m1c15
9 becomes 0
Avatar of M1m1c15

Simply theoretical as I said
Avatar of CheesePrix2314

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

Avatar of M1m1c15
Actually it doesn’t contain pi + 1 because if you did that for Infinity, it would be different
Avatar of M1m1c15
But that still doesn’t solve anything
Avatar of CheesePrix2314

Why can't it contain infinitely many digits, followed by infinitely many digits that are all different from the first?

Avatar of M1m1c15
Because if you add one to pi for Infinity, it would be different. It’s still infinity. This is all theoretical, you would never stop adding one.
Avatar of ninjaswat

... Just rearrange the numbers, the first conjecture and the second (proposed here) are linked so if one is true both are true.

Avatar of CheesePrix2314

What's the meaning of the phrase "It would be different"?

Avatar of M1m1c15
Wrong, it can’t be infinite, statistically, since pi goes for infinity, any combination no matter what would appear in pi
Avatar of CheesePrix2314

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

Avatar of CheesePrix2314
M1m1c15 wrote:
Wrong, it can’t be infinite, statistically, since pi goes for infinity, any combination no matter what would appear in pi

As I said, this conjecture has been proposed but has not been proved yet.

Avatar of M1m1c15
I wish I could read that, I can’t click links on mobile because of parental controls
Avatar of Anonymous_Dragon
M1m1c15 wrote:
I wish I could read that, I can’t click links on mobile because of parental controls

Well 

Avatar of CheesePrix2314

Try searching up "Rational approximations to pi and some other numbers, by Masayoshi Hata."

Avatar of Zidanefre
CheesePrix2314 wrote:

Well, not proved. Rather, "believed to be true".

Sounds like the infinite monkey theorem 

Avatar of Guest5112486073
Please Sign Up to comment.

If you need help, please contact our Help and Support team.