On the Fundamentals of Human Chess

DoctorKraken42 · 2017-02-17T01:23:30-08:00

The phrase "basic chess theory" brings to mind such fundamental concepts as space, material, and endgames, which are taught in every chess primer. However, I believe there is a deeper layer to the study of how humans play chess, one which is not covered in such books. I will dump some o

Sort:

brettregan1

Feb 17, 2017

#21

[COMMENT DELETED]

vickalan

Feb 18, 2017

#22

DoctorKraken42 wrote:

This sounds quite interesting. However, the distribution of primes may very well be solved at some point in the future.

I don't see any indication that the exact distibution of primes will ever be solved. There are approximations. Numbers in the form (2ⁿ-1) are much more likely to be prime than other numbers. People have studied mathematical formulas and used supercomputers to find primes, but there is only a new one found every few months or years.

The largest known prime is 2^(74,207,281) − 1 (about 22 million digits), but this discovery may have missed a lot of smaller primes. And this is just one. (inconsequential considering that there are infinitely many primes).

There's a prize being offered of $150,000 to the first peson to find a prime with at least 100 million digits, and $250,000 with a billion digits. These efforts make the study of 8x8 chess seem small. Just 64 squares. But a chessboard of infinite size, with some huygens roaming around on it might never be within the bounds of Caissa's ability to solve.